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A: Calculation:Express the polynomial h(x) = x3 – 3x2 − 7x – 3 as the linear factors as follows.Since o...

Q: Find the derivative of f(x) = (1 + 7x2)(x − x2) in two ways. 1. Product Rule 2.Perform the multiplic...

A: For product rule we use u=1+7x^2 and v=x-x^2Product rule = u'v+uv'Answer: f'(x)=1-2x+21x^2-28x^3

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A: Given,

Q: Suppose the line tangent to the graph of f at x 3 is y 6x 5 and suppose y 2x - 2 is the line tangent...

A: The tangent line to the graph of f at the point x=3 is y = 6x + 5 and the tangent line the graph of ...

Q: Let L be a tangent line to the hyperbola xy=4 at x=9 Find the area of the triangle bounded by L and ...

A: Compute the tangent line as follows.

Q: Consider the function g(x) = cos(1/x). We will investigate the limit behavior at x = 0. c) If n is a...

A: Given function,

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A: Given, Amplitude = 12 in. Period = 1 seconds. Since, d at t = 0 is 0 i...

Q: Please see the attached problem. Thanks!

A: To determine the volume of shell.

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A: y=cos xall x values are possibley values are from -1 to 1Answer: For y=cosx Domain = The set of all ...