Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the answer to two decimal places.)
I= ∫3.20f(x)dx
x f(x) x f(x)
0.0 8.8 2.0 7.3
0.4 8.9 2.4 8.1
0.8 6.7 2.8 7.6
1.2 8.1 3.2 7.3
1.6 8.7
If it is known that −5≤f"(x)≤1for all x, estimate the error involved in the approximation in part (a).
(Given the answer to four decimal place )

What are correct trigonometric ratios that could be used to determine the length of ln

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.