Questions from General Calculus

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = xex/2, [-3, 1]

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = ln(x2 + x + 1), [-1, 1]

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = x - 2 tan-1x, [0, 4]

Q: If a and b are positive numbers, find the maximum value

If a and b are positive numbers, find the maximum value of f (x) = xa(1 – x)b, 0 ≤ x ≤ 1.

Q: Use a graph to estimate the critical numbers of f (x

Use a graph to estimate the critical numbers of f (x) = |1 + 5x - x3 | correct to one decimal place.

Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = tan-1 (x –( 1 + x2 )

Q: (a) Use a graph to estimate the absolute maximum and

(a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places. (b) Use calculus to find the exact maximum and minimum values. f (x) = x5 - x3 + 2, -1 ≤ x ≤...

Q: (a) Use a graph to estimate the absolute maximum and

(a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places. (b) Use calculus to find the exact maximum and minimum values. f (x) = ex + e-2x, 0 ≤ x ≤ 1

Q: A balloon is rising at a constant speed of 5 ft/

A balloon is rising at a constant speed of 5 ft/s. A boy is cycling along a straight road at a speed of 15 ft/s. When he passes under the balloon, it is 45 ft above him. How fast is the distance betwe...

Q: (a) Use a graph to estimate the absolute maximum and

(a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places. (b) Use calculus to find the exact maximum and minimum values. f (x) = x - 2 cos x, -2 ≤ x ≤...