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Algebra and Trigonometry Self-Diagnostic Exam

10. Given: 1 − 5 x = 6 x −7 , find all real values of x which satisfy the equation. 11. The radius of a circular fountain is 10 ft. A sidewalk of uniform width is constructed around the outside of the fountain and has an area of 69π ft2. How wide is the sidewalk? 12. A train leaves a station and travels north at a speed of 75 mph. Two hours later, a second train leaves on a parallel track traveling north at 125 mph. How far from the station will the faster train overtake the slower train? 13. Use "completing the square" to rewrite x 2 − 4 x + 3 = 0 in the form ( x − c)2 = d . 14. Write an equation for y in terms of x assuming that y is proportional to x and y = 42 when x = 6. 4 x + 2 y = 14  15. Given the system of equations   , find the value of y:  2 x − 8y = 8  16. Given: f ( x) = 3 + x 2 , find f ( x + h) − f ( x). 17. Given: f ( x) = x 2 − 9 , find f ( x − 3) . 18. What is the domain of the function y = 5 ? 9− x 19. Find the slope-intercept form of the line through (1,4) and (3,-2). 20. Temperature T in degrees Fahrenheit is given by T = 9 C + 32 where C is temperature in 5 degrees Celsius. What is the Celsius equivalent to 77°F? 21. Given g (2) = 4 and f ( x) = x / 2 , find f (g (2)) . 22. Find the point(s) of intersection of the curves x 2 + y 2 = 1 and y + x = 0 . 23. Given f ( x) = −3 x 2 − 18 x − 15 , find the vertex and the maximum or minimum value. 24. Solve for x: 2 ≤ 5 − 2 x ≤ 22 25. Solve for x: 3 x − 2 − 6 ≥ 0 26. Solve for x: x 2 − 35 ≤ 1 27. Find the roots of f ( x) = ( x 2 − 7 x + 12) 2 and state the multiplicity of each. 28. Solve for x: e −4 x = e . 29. Solve for x: 34 x +1 − 5 = 22 . 30. Is the point ( ...

Book Reviews Dyman Associates Publishing Inc: Rowling’s New 'Harry Potter' Story Is a Marketing Scam

There are celebrities—and then there are celebrities.” That’s the first line of J.K. Rowling’s latest Harry Potter short story, published this morning on her own website, Pottermore. Rowling, who has always had a strained relationship with her own fame, might as well be talking about herself. (She published her second pseudonymous detective novel last month, to solid reviews.) There are celebrity writers, and then there are celebrity writers—the kind who can post a 1500-word piece of writing on their personal website and immediately make international headlines.

How to measure driveshaft angles - Pirate4x4.Com

Cardan (cross) type universal joint operation is typically designed to be in a range of 1 to 3°, figure 1. A cardan type joint can operate for short periods of time at angles up to approximately eight degrees. Angles that are not within the desired range will cause drive line vibration and significantly shorten the life of the universal joint. Vibration that is created by incorrect u-joint angles is usually most noticeable at low speeds, under 40 mph., under load or acceleration. If a problem with u-joint angle is suspected perform the following basic inspection procedures. 1. Rotate the drive shaft to check for binding, or misalignment of the cross or bearing cups. 2. Check that all surfaces are clean. 3. Check the condition of the motor and transmission mounts. Broken mounts are a frequent cause of drive shaft vibration and are often overlooked. If these conditions are satisfactory a preliminary check of angles can be made with an inclinometer. Before attempting to measure angles ensure that tire air pressure is correct, that the vehicle is at the correct trim (chassis) height, and the ground surface is level. 1. Measure the angle of the front slip yoke by placing the inclinometer on the bottom of the bearing cup, figure 2. Position the inclinometer on the clean flat surface of the bearing cup, level the bubble and note the reading. 2. Measure the drive shaft angle, as shown, and subtract the smaller number from the greater to determine the angle. 3. Repeat the same procedure on the rear u-joint and pinion input shaft.

Steering, Suspension, and Driveline Basics (with How Lift ... - Meetup

Throughout this article I will address many basics of your vehicle’s steering, suspension, driveline, tires, and wheels. I did not intend this to be a “how to” manual with step by step instructions. It will simply illustrate the concepts. I’ll start with the lift and explain what it did to your steering, suspension, and driveline one aspect at a time. NOTES ABOUT THE ILLUSTRATIONS: 1) most are “spring under” leaf spring suspension, 2) non-pertinent parts are omitted for clarity, 3) many examples are exaggerated for illustration, and 4) most concepts illustrated also apply to spring over and coil/link suspensions. To cover the differences, I added a separate coil and link suspensions topic. Ready? OK, let’s get started. You lifted your Jeep and now it wanders all over the road and it vibrates too. What happened? Well, you just changed a lot of the vehicle’s geometry (probably without knowing it). Here’s a diagram of a stock Jeep and the proper angles. Your caster angle should be between 4 and 8 degrees positive. This caster angle creates an effect called mechanical trail. It’s the force that makes your wheels return to center. The caster angle shown below is close to stock. The point that the steering axis (black line) intersects the ground to the point to where the rotational axis touches the ground forms the points to measure your caster angle. You can best measure the caster angle from the top of the upper ball joint.

HW93776 3 Ton EnginE STand HW93776 3 Ton ... - Shinn Fu America

HW93776-1 Cummins Engine Stand Adapter For Cummins engines: all NH, NTC, & NTE 855 Series in-line 6 cyl., 378 Series V6, 504, 555 & 903 Series V8, KT 1150 Series in-line 6 Cyl. L10 HW93776 • • • • Complete clearance during 360° rotation Long handle provides easy engine rotation with 95 to 1 gear Floor lock keeps stand from moving during repairs Universal adapter included for use with a wide variety of optional adapters HW93776-3 Mack Diesel Engine Stand Adapter HW93776-2 Detroit Engine Stand Adapter HW93776-4 International Diesel Engine Stand Adapter For Mack engines: 672, 673, 675 & 711. Series in-line 6 cyl. For Detroit engines: 53 Series in-line 6 Cyl., 6V & 8V also 71 series in-line 6 cyl., 6V, 8V & 12V also 92 series 6V & 8V also 8.2 liter V8. For International Harvester engines: DT-466 in-line 6 cyl. DV-550, MV-404, MV-446, V304, V435, V392, 4-152, 4-194, 4-196, 9.0 liter V8, 6.9L (Ford). HW93776-5 Caterpillar Engine Stand Adapter HW93776-6 Allison Transmission Adapter HW93776-7 Small Vehicle Adapter For Caterpillar engines: 1673, 1674, 1693, 3306 & 3406 in-line 6 cyl. also 1100 & 3208 V8 and 3408 V8. All Allison transmissions: AT 500, MT 600, MT 6 speed, VH, VS and V730 Small size vehicle and light truck engine 2,000 Lbs. capacity. Model Capacity HW93776 3 Ton 1-888-332-6419 Overall Dimensions Wheel Diameters Height Width Length Front Rear Rotational clearance from MTG. Head to Ground G.W. 45-3/4″ 46″ 52″ 8″ 5-3/4″ 37-1/2″ to 43-1/4″ 602 Lbs. www.heinwerner-automotive.com

1 TON FOLDING ENGINE STAND - Harbor Freight Tools

1 TON FOLDING ENGINE STAND Model 47304 ASSEMBLY AND OPERATING INSTRUCTIONS ® 3491 Mission Oaks Blvd., Camarillo, CA 93011 Visit our Web site at http://www.harborfreight.com Copyright © 2002 by Harbor Freight Tools®. All rights reserved. No portion of this manual or any artwork contained herein may be reproduced in any shape or form without the express written consent of Harbor Freight Tools . For technical questions and replacement parts, please call 1-800-444-3353 Specifications Engine Stand Capacity Assembled Dimensions Folded Dimensions Engine Turn Capacity Main Post Height 1 Ton (2000 Lbs.) 42” L x 36” W x 34” H 17” L x 22-1/2” W x 40” H 360 Degrees 32-1/2” Save This Manual You will need the manual for the safety warnings and precautions, assembly instructions, operating and maintenance procedures, parts list and diagram. Keep your invoice with this manual. Write the invoice number on the inside of the front cover. Keep the manual and invoice in a safe and dry place for future reference. Safety Warnings and Precautions WARNING: When using product, basic safety precautions should always be followed to reduce the risk of personal injury and damage to equipment. Read all instructions before using this product! 1. Avoid working alone. If an accident happens, an assistant can bring help. 2. Keep work area clean. Cluttered areas invite injuries. 3. Observe work area conditions. Don’t expose to rain. Keep work area well lighted. 4. Keep children away. Children must never be allowed in the work area. Do not let them near the Stand. 5. Store idle equipment. When not in use, the Stand must be stored in a dry location to inhibit rust. Always lock up tools and keep out of reach of children. 6. Dress properly. Do not wear loose clothing or jewelry as they can be caught in moving parts. Protective, electrically nonconductive clothes and nonskid footwear are recommended when working. Wear restrictive hair covering to contain long hair. 7. Use eye and ear protection. Always wear ANSI approved impact safety goggles. 8. Do not overreach. Keep proper footing and balance at all times. Do not reach over or across electrical cables or frames. 9. Maintain Stand with care. Inspect Stand, and if damaged, have it repaired by an authorized technician. SKU 47304

Engine Stand Test Procedures - Tronair

ROTATING ENGINE STANDS 1. Overall visually inspect stand for any signs of wear and fatigue. 2. Lubricate spindles and gear box as referenced in vendor literature if equipped. 3. Inspect anti-rotation locking mechanism if equipped. 4. Install weight equal to engine weight to the engine stand for approximately 2 min. 5. Rotate weight set 360º in both directions if equipped. Operation should be free of binding and/or catching during rotation. 6. Dismantle fixture and visually inspect stand for any signs of wear or failure. Any item, which does not successfully pass the test, is to be rejected and discarded or returned to Tronair for evaluation. Load Cell Data Load Cell Display Cylinder/Pump Eyebolt 2x4 Wood Block Install Weight To Stand 08-2030-0000 AND 08-2034-0000 1. Install engine stand test fixture. 2. Position beam assembly in the center of the engine stand. 3. Tighten beam locks evenly, until the beam assembly is locked in place. 4. Position engine stand over eye hook in floor. Line eye hook directly under pull point of the test fixture. 5. Install 2 x 4 inch block under wheels and lock stand in place. 6. Attach load cell, pull cylinder to eyebolt. 7. Put engine stand through two cycles of loading the engine stand to 3,000 pounds (2,667 psi on gauge). Hold for 30 seconds then release load. 8. Inspect all welds and joints for signs of distortion; if no defects are found, the engine stand is good. 9. If defects are found discard or return to Tronair for evaluation.

Installation Instructions - CatalogRack.com

70-7003/70-7004 Amplifier Integration Harness Amplifier Integration Harness 1994-96 Dodge Stealth 1995-98 Eagle Talon 1994-99 Mitsubishi 3000GT 1994-04 Mitsubishi Diamante 1995-05 Mitsubishi Eclipse 1994-03 Mitsubishi Galant 2002-07 Mitsubishi Lancer 1997-02 Mitsubishi Mirage 1997-05 Mitsubishi Montero 2003-06 Mitsubishi Outlander To integrate an aftermarket head unit with the factory Infinity amplifier. Or To integrate an aftermarket amplifier with the factory Infinity head unit. AUDIO HARNESS POWER HARNESS 1994-96 Dodge Stealth 1995-98 Eagle Talon 1994-99 Mitsubishi 3000GT 1994-04 Mitsubishi Diamante 1995-05 Mitsubishi Eclipse 1994-03 Mitsubishi Galant 2002-07 Mitsubishi Lancer 1997-02 Mitsubishi Mirage 1997-05 Mitsubishi Montero 2003-06 Mitsubishi Outlander To integrate an aftermarket head unit with the factory Infinity amplifier. Or To integrate an aftermarket amplifier with the factory Infinity head unit. AUDIO HARNESS POWER HARNESS 1-800-221-0932 www.metraonline.com © COPYRIGHT 2001-2009 METRA ELECTRONICS CORP. 1-800-221-0932 www.metraonline.com © COPYRIGHT 2001-2009 METRA ELECTRONICS CORP. 70-7003/70-7004 INSTALLATION INSTRUCTIONS 70-7003/70-7004 INSTALLATION INSTRUCTIONS Amplifier Integration Harness Amplifier Integration Harness 1994-96 Dodge Stealth 1995-98 Eagle Talon 1994-99 Mitsubishi 3000GT 1994-04 Mitsubishi Diamante 1995-05 Mitsubishi Eclipse 1994-03 Mitsubishi Galant 2002-07 Mitsubishi Lancer 1997-02 Mitsubishi Mirage 1997-05 Mitsubishi Montero 2003-06 Mitsubishi Outlander To integrate an aftermarket head unit with the factory Infinity amplifier. Or To integrate an aftermarket amplifier with the factory Infinity head unit. AUDIO HARNESS POWER HARNESS 1-800-221-0932 www.metraonline.com © COPYRIGHT 2001-2009 METRA ELECTRONICS CORP. 1994-96 Dodge Stealth 1995-98 Eagle Talon 1994-99 Mitsubishi 3000GT 1994-04 Mitsubishi Diamante 1995-05 Mitsubishi Eclipse 1994-03 Mitsubishi Galant 2002-07 Mitsubishi Lancer 1997-02 Mitsubishi Mirage 1997-05 Mitsubishi Montero 2003-06 Mitsubishi Outlander To integrate an aftermarket head unit with the factory Infinity amplifier. Or To integrate an aftermarket amplifier with the factory Infinity head unit. AUDIO HARNESS POWER HARNESS 1-800-221-0932 www.metraonline.com © COPYRIGHT 2001-2009 METRA ELECTRONICS CORP. To Integrate Aftermarket Head Unit with Factory Amplifier To Integrate Aftermarket Head Unit with Factory Amplifier AUDIO HARNESS AUDIO HARNESS Connect the RCA cables to the line outputs on the aftermarket head unit OR use Metra’s #FL-LOC605 (sold separately) Line Output Converters to supply line outputs. FUNCTION COLOR Right Front Gray Left Front White Right Rear Purple Left Rear Green Amplifier Turn On Blue/White POWER HARNESS Connect the power wires to the aftermarket head unit. FUNCTION COLOR Ground To vehicle chassis Battery/Memory Yellow Ignition/Accy Red Power Antenna Blue Illumination Orange (If the aftermarket head unit does not have an Illumination wire, do not connect the orange wire, and cap this wire to prevent a short circuit.) NOTE: If the system has noise, use Metra’s #FL-GL605(sold separately) Ground Loop Isolator to remove the noise. Connect the RCA cables to the line outputs on the aftermarket head unit OR use Metra’s #FL-LOC605 (sold separately) Line Output Converters to supply line outputs. FUNCTION COLOR Right Front Gray Left Front White Right Rear Purple Left Rear Green Amplifier Turn On Blue/White POWER HARNESS Connect the power wires to the aftermarket head unit. FUNCTION COLOR Ground To vehicle chassis Battery/Memory Yellow Ignition/Accy Red Power Antenna Blue Illumination Orange (If the aftermarket head unit does not have an Illumination wire, do not connect the orange wire, and cap this wire to prevent a short circuit.) NOTE: If the system has noise, use Metra’s #FL-GL605(sold separately) Ground Loop Isolator to remove the noise.

3.0 L V6 - VINS [H,J,K] - dairally.net

Removal (Diamante) 1) Remove hood. Drain cooling system. Remove radiator. Release fuel system pressure. See FUEL PRESSURE RELEASE. Disconnect negative battery cable. Drain engine oil and transaxle oil. Remove front exhaust pipe. Remove transaxle assembly. See appropriate CLUTCHES or TRANSMISSION SERVICING article. 2) Disconnect accelerator cable, brake booster vacuum hose, fuel supply and return lines, and heater hoses. Disconnect EGR temperature sensor (if equipped). Unplug vacuum hose connector. Remove drive belts. Remove power steering pump and A/C compressor, leaving hoses attached. 3) Unplug all harness connectors. Remove bolt from body ground connection. Disconnect alternator wiring inside relay box. Remove relay box and engine wiring harness connection. On models with ABS, remove radiator overflow tank and bracket. 4) Attach engine hoist. Raise engine enough to take weight from mounts. Remove engine mount bracket. Remove damper. Remove rear roll stopper bracket mount bolt. Remove front roll stopper bracket mount bolt. Carefully lift engine from car. Installation (Diamante) To install, reverse removal procedure. Install engine mount bracket so that arrow points away from engine, toward body. Install new "O" rings on fuel lines. Install new exhaust gaskets and nuts. Adjust throttle cable. See TORQUE SPECIFICATIONS TABLE at the end of this article. Replenish fluids. CAUTION: DO NOT allow foreign material into turbocharger air intake hoses or pipes.

Printable (PDF) version - Innovate Motorsports

www.tuneyourengine.com. 1994 - 1997 Mitsubishi 3000GT VR4 ECU Diagram. Connector A. Connector B Connector C. Connector D. Pin #. Name. Signal Type. Connector B Name Injector 1 Injector 3 Injector 5 Injector 2 Injector 4 Injector 6 Power Ground Air Intake Temperature Sensor O2 Sensor # 1 (Right Bank) O2 Sensor # 2 (Left Bank) Engine Coolant Temperature Sensor Throttle Position Sensor Atmospheric Pressure Sensor Vehicle Speed Sensor Volume Air Flow Sensor Power Ground Sensor Ground Connector C Connector D Signal Type Speed Speed Speed Speed Speed Speed Ground Analog Analog Analog Analog Analog Analog Speed Analog Ground GroundConnector B Name Injector 1 Injector 3 Injector 5 Injector 2 Injector 4 Injector 6 Power Ground Air Intake Temperature Sensor O2 Sensor # 1 (Right Bank) O2 Sensor # 2 (Left Bank) Engine Coolant Temperature Sensor Throttle Position Sensor Atmospheric Pressure Sensor Vehicle Speed Sensor Volume Air Flow Sensor Power Ground Sensor Ground Connector C Connector D Signal Type Speed Speed Speed Speed Speed Speed Ground Analog Analog Analog Analog Analog Analog Speed Analog Ground GroundConnector B Name Injector 1 Injector 3 Injector 5 Injector 2 Injector 4 Injector 6 Power Ground Air Intake Temperature Sensor O2 Sensor # 1 (Right Bank) O2 Sensor # 2 (Left Bank) Engine Coolant Temperature Sensor Throttle Position Sensor Atmospheric Pressure Sensor Vehicle Speed Sensor Volume Air Flow Sensor Power Ground Sensor Ground Connector C Connector D Signal Type Speed Speed Speed Speed Speed Speed Ground Analog Analog Analog Analog Analog Analog Speed Analog Ground Ground

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