44444 Exam #2 Review 2012 4 7. a. Find an equation of the normal line to the curve y= 1+x2 at the point (-1, 2). b. Find an equation of the tangent line to the curve 2x2 + y = 12 that is parallel to the line 2x+ y= 4. A ball rolls down an inclined plane such that the distance (in cm) that it rolls in t seconds is given by 8. s(t)=2t+3t 4 for 0st<3. Find the velocity of the ball at t 2. b. At what time is the velocity 30 cm/sec. a. 9. A particle is moves with the position function given by s(t) t3 - 9t2 15t + 4 for t 2 0, where t is measured in seconds and s in feet. Find the velocity and acceleration of the particle at time t. b. When is the particle at rest? c. Find the velocity and acceleration at t = 2 sec d. When is the particle speeding up? e. When is the particle slowing down? а. 15 0. Let y = (1+x), x = 0, Ax .01. Find: а. Ду b. dy c. Ay-dy A metal rod 15 cm long and 5 cm in diameter is to be covered (except for the ends) with insulation th thick. Use differentials to estimate the volume of insulation.

44444 Exam #2 Review 2012 4 7. a. Find an equation of the normal line to the curve y= 1+x2 at the point (-1, 2). b. Find an equation of the tangent line to the curve 2x2 + y = 12 that is parallel to the line 2x+ y= 4. A ball rolls down an inclined plane such that the distance (in cm) that it rolls in t seconds is given by 8. s(t)=2t+3t 4 for 0st<3. Find the velocity of the ball at t 2. b. At what time is the velocity 30 cm/sec. a. 9. A particle is moves with the position function given by s(t) t3 - 9t2 15t + 4 for t 2 0, where t is measured in seconds and s in feet. Find the velocity and acceleration of the particle at time t. b. When is the particle at rest? c. Find the velocity and acceleration at t = 2 sec d. When is the particle speeding up? e. When is the particle slowing down? а. 15 0. Let y = (1+x), x = 0, Ax .01. Find: а. Ду b. dy c. Ay-dy A metal rod 15 cm long and 5 cm in diameter is to be covered (except for the ends) with insulation th thick. Use differentials to estimate the volume of insulation.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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