EXAM 2 REVIEW 10.30.11 - MATH 2413 Test 2 review 10/30/11...

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MATH 2413 Test 2 review 10/30/11 1. Find the derivative of the following function. f ( x ) = x arctan( e x ) 2. Find the derivative of the following function. f ( x ) = x 4 - 1 arcsin( x 2 ) 3. Find the equation of the tangent line to the given function when x = 1 y = ( x 2 + 1) arctan( x ) 4. Find the equation of the tangent line to the given function when y = 1 x 2 y 2 + 6 xy + 9 = ( y - 1) 2 5. The radius of a sphere is increasing at a rate of 2 in/hr. What is the rate of change of the volume of the sphere when the radius is 10 in. . 6. Two cars start driving from a common point. The first car travels South at 30 mph while the other car travels East at 40 mph. After 2 hrs of driving how fast is the distance between the cars changing. 7. A person stands 100 ft from a hot air balloon. The balloon then starts to rise straight up at a rate of 2 ft/sec. Find the rate of change in the angle of elevation from the person to the balloon when the balloon is 100 ft above the earth. 8.
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This note was uploaded on 11/16/2011 for the course MATH 2413 taught by Professor . during the Fall '11 term at University of Texas at Dallas, Richardson.

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EXAM 2 REVIEW 10.30.11 - MATH 2413 Test 2 review 10/30/11...

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