Questions from General Calculus

Q: For the Riemann sum on an interval [a, b],

For the Riemann sum on an interval [a, b], determine n, b, and f (x). [(5 + e5) + (6 + e6) + (7 + e7)] (1); a = 4

Q: For the Riemann sum on an interval [a, b],

For the Riemann sum on an interval [a, b], determine n, b, and f (x). [3(.3)2 + 3(.9)2 + 3(1.5)2 + 3(2.1)2 + 3(2.7)2] (.6); a = 0

Q: For the Riemann sum on an interval [a, b],

For the Riemann sum on an interval [a, b], determine n, b, and f (x). Suppose that the interval 0 ≤ x ≤ 3 is divided into 100 subintervals of width Δx = .03. Let x1, x2, … , x100 be points in these su...

Q: For the Riemann sum on an interval [a, b],

For the Riemann sum on an interval [a, b], determine n, b, and f (x). Suppose that the interval 0 ≤ x ≤ 1 is divided into 100 subintervals of width Δx = .01. Show that the following sum is close to 5/...

Q: The following exercises ask for an unknown quantity x. After setting

The following exercises ask for an unknown quantity x. After setting up the appropriate formula involving a definite integral, use the fundamental theorem to evaluate the definite integral as an expre...

Q: The following exercises ask for an unknown quantity x. After setting

The following exercises ask for an unknown quantity x. After setting up the appropriate formula involving a definite integral, use the fundamental theorem to evaluate the definite integral as an expre...

Q: The following exercises ask for an unknown quantity x. After setting

The following exercises ask for an unknown quantity x. After setting up the appropriate formula involving a definite integral, use the fundamental theorem to evaluate the definite integral as an expre...

Q: The following exercises ask for an unknown quantity x. After setting

The following exercises ask for an unknown quantity x. After setting up the appropriate formula involving a definite integral, use the fundamental theorem to evaluate the definite integral as an expre...

Q: Determine the average value of f (x) over the interval

Determine the average value of f (x) over the interval from x = a to x = b, where f (x) = x2; a = 0, b = 3.

Q: Determine the average value of f (x) over the interval

Determine the average value of f (x) over the interval from x = a to x = b, where f (x) = 1 - x; a = -1, b = 1.