Differentiate the function. h(x) 13 csch (x3) Give your answer in exact form. 39x2 39х h(x) = 6 х

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A: Topic = Functions

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A: Given, the height function s(t)=-16t2+48t+160, we have to find the instantaneous velocity of the…

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Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

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Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

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Q: 3. y = 5x - sec (x) differentiate the given function

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A particle is moving in a straight line. It is f(x) = -4x² – 4.6x feet from its starting point after…

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Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

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A: Temperature in degree Fahrenheit is given by the equation  t(x)  =  8x + 21   x is the number of…

Q: A ball is thrown straight up from a rooftop 160 feet high with an initial velocity of 48 feet per…

A: The function of ball's height above the 160 feet high rooftop is given as s(t)=-16t2+48t+160 The…

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A: Given: fx=-x1-x2

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Q: Use a calculator to graph f(x). Use the graph to solve f(x) > 0. (Ent F(x) = +2 %3D f(x) > 0 when x…

A: Graph of function

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A: We have, Nuclear energy derived from radioactive isotopes can be used to supply power to space…

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 4x+ + 16x² + 16x²

A: Given that     f(x)= 4x4 + 16x3 + 16x2. Appropriate the curve of this given function f(x). We use…

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Q: A rocket sled having an initial speed of 152 mi/h is slowed by a channel of water. Assume that…

A: Given that: Initial speed, u=152 mi/hacceleration, a=-μv2Final velocity, v=18 mi/h

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A: Consider the given function. y=40e-0.004t Put t=180 in the above function.…

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

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Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

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Q: (i) Solve the equation = (ii) Examine the analyticity of the function f(2) = (e).

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Q: 3. The height of a rocket, h, is increasing at a rate of 18 feet per second. If its height at five…

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A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

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Q: For sketching the function y = 3-e² 2e² determine the following

A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

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Q: A ball is thrown into the air with an initial upward velocity of 48 ft/s. The height () of the ball…

A: Given, initial upward velocity = 48 ft/s h(t)=-16t2+48t+4