Approximate f(x) = secx by Taylor polynomial with a degree of 2 at x = 0. What is the accuracy of the approximation when x lies in the interval 0 < x<1/6?

Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

A:

Q: For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with…

A:

Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

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Q: The total profit (in dollars) from the sale of x cell phones is P(x) = 15x – x² – 70 for 0<x< 60.…

A: Solution is given below:

Q: The function below has two roots between x = -6 and x = 10. Use the bisection method to estimate the…

A: We have f(x)=(x+5)3-ex x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 f(x) -1.00 -0.01 0.98 7.95…