9. An object moves along an axis and the position is measured in meters. The velocity function is v(t) = -2t + 1 for t >0. If at timet=2 the position is 4 meters, show the work in finding the position function denoted by s(t) 10. A function y=f(x) is continuous and differentiable on (

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 43E
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(9) An object moves along an axis and the position is measured in meters. the velocity function is
7. Give the general antiderivative: f (3x² -2+ tan²x) dx
8. Show the work in evaluating the definite integral: t sin(t?) dt
9. An object moves along an axis and the position is measured in meters. The velocity
function is v(t) = -2t + 1 for t 20. If at time t 2 the position is 4 meters, show the work
in finding the position function denoted by s(t)
10. A function, y f(x), is continuous and differentiable on (-00, 0). It is known that:
f'(x) > 0 on (-2,4)
f'(x) <0 on (-0,-2) and on (4, co0)
a) At what x-value is there a relative (local) maximum value? If there is no relative max,
say so.
Transcribed Image Text:7. Give the general antiderivative: f (3x² -2+ tan²x) dx 8. Show the work in evaluating the definite integral: t sin(t?) dt 9. An object moves along an axis and the position is measured in meters. The velocity function is v(t) = -2t + 1 for t 20. If at time t 2 the position is 4 meters, show the work in finding the position function denoted by s(t) 10. A function, y f(x), is continuous and differentiable on (-00, 0). It is known that: f'(x) > 0 on (-2,4) f'(x) <0 on (-0,-2) and on (4, co0) a) At what x-value is there a relative (local) maximum value? If there is no relative max, say so.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,