b ONLY Consider the slope field shown.(a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate thefollowing:y(1) ~and y(-1) ~(b) For the solution that satisfies y(0)following:y(1) ≈=1, sketch the solution curve and estimate theand y(-1) ~(c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate thefollowing:y(1) ≈and y(-1) ~

Answered: Image /qna-images/answer/c04fdb28-4d17-47d4-a934-0d0e2e816c08.jpg

Answered: Consider the slope field shown. (a) For…

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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2. The Batmobile travels in a straight line such that t seconds after passing through Arkham, its velocity v(t) in meters per second is given by v(t) = 5t3 + (20 – 30k)t² – 100kt + 200k + 50 where k is constant. (a) Find an expression for the acceleration of the Batmobile in terms of k and t. (b) Suppose that the acceleration of the Batmobile five seconds after passing through Arkham is 175 m/s?. Determine the value of k five seconds after passing through Arkham. (c) Using the value of k from item (b), find the range of values of t for which the Batmobile is accelerating positively. (d) Using the value of k from item (b), determine the values of t when the Batmobile is accelerating at its fastest and slowest within six seconds of passing through Arkham.

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