Math 7 Practice Test 21

Math 7 Practice Test 21 - 3 feet, upper base 5 feet, and...

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Math 7 Test 2 Mr. Garcia Name Instructions. Show all your work. No partial credit will be given for stating answers. Box your answers. 1. Discuss the di/erentiability of f ( x ) at x = 0 ; x = 1 f ( x ) = 8 < : 2 x if x < 0 x x 2 if 0 ± x ± 1 x 1 if x ² 1 d (cos x ) dx = sin x f 0 ( x ) = lim h ! 0 f ( x + h ) f ( x ) h ± 3. Find f 0 ( w ) if f ( w ) = r x 1 x 2 + 4 4. Find k 0 ( ) if k ( ) = sin cos sin 5. Find dH dz if H ( z ) = p sin p z 2 + 1 6. Find the equation of the tangent line to the graph of f at P (4 ; 6) if f ( x ) = 2 x 4 p x 7. Assuming the equation determines a di/erentiable function f such that y = f ( x ) ; y 0 : y 2 + p xy + 3 x = 2 8. Assuming the equation determines a di/erentiable function f such that y = f ( x ) ; y 00 : 5 x 2 2 y 2 = 4 9. The ends of a horizontal trough 10 feet long are isosceles trapezoids with lower base
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Unformatted text preview: 3 feet, upper base 5 feet, and altitude 2 feet. If the water level is rising at a rate of 1 4 in±min. when the depth of the water is 1 foot, how fast is the water entering the trough? 10. Two cars are approaching the same intersection along roads that run at right angles to each other. Car A is traveling at 20 mi.±hr., and car B is traveling at 40 mi.±hr. If, at a certain instant, A is 1 = 4 mile from the intersection and B is 1 = 2 mile from the intersection, &nd the rate at which they are approaching each other at that instant. 1...
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This note was uploaded on 03/22/2012 for the course MATH 07 taught by Professor Kaint during the Spring '12 term at Santa Monica.

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