Exam #2 Review 2014 7. a. Find an equation of the normal line to the curve y x 4 at the point (-1,2). b. Find an equation of the tangent line to the curve 2x2y = 12 that is parallel to the line 2x+ y= 4. 8.A ball rolls down an inclined plane such that the distance (in cm) that it rolls in t seconds is given by s(t)=2t+3t2+4 for 0sts3 a. Find the velocity of the ball at t 2. b. At what time is the velocity 30 cm/sec. 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? When is the particle slowing down? a. e. Find:

Exam #2 Review 2014 7. a. Find an equation of the normal line to the curve y x 4 at the point (-1,2). b. Find an equation of the tangent line to the curve 2x2y = 12 that is parallel to the line 2x+ y= 4. 8.A ball rolls down an inclined plane such that the distance (in cm) that it rolls in t seconds is given by s(t)=2t+3t2+4 for 0sts3 a. Find the velocity of the ball at t 2. b. At what time is the velocity 30 cm/sec. 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? When is the particle slowing down? a. e. Find:

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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