[1] Let g(x) = f(t) dt where the graph of f is shown.

Q: function f(x) = x1/3 at x = 64. f

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Q: Consider the function h(x) = 1/5 x^5 − 1/3 x^3 + 2. a)  Using derivatives, find the interval(s)…

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Q: Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y=…

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Q: 3. Find the points (x,y) of the function f(x) = -x³ + 12x² - 5 where the tangent is horizontal AND…

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Q: 2. In a study on the speed of muscle contractions in frogs under various loads it has been found…

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Q: 2) Find the equation of the curve whose slop 12 B) T= r The rate of change of the temperature, T (in…

A: Step 1: Step 2:

Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

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Q: The following quadratic function is given: f(t) = 5t²-7t + 25. i) ii) Use first principle to find…

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Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values…

A: According to bartelby's guidelines we can only answer three subparts of a question.Please post the…

Q: Let f(x) = 4x² - 15x + 13 The slope of the tangent line to the graph of f(x) at the point (2, -1) is…

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Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

A: ddxxn=nxn-1 ddxfxgx=gxf'x-fxgxgx2 [As per the guidelines I am answering only first 3 parts of the…

Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.