Questions from General Calculus

Q: Determine which function is the derivative of the other.

Determine which function is the derivative of the other.

Q: Determine which function is the derivative of the other.

Determine which function is the derivative of the other.

Q: Find the quadratic function f (x) = ax2 + bx

Find the quadratic function f (x) = ax2 + bx + c that goes through (2, 0) and has a local maximum at (0, 1).

Q: Find the quadratic function f (x) = ax2 + bx

Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at (1,-1).

Q: If f (a) = 0 and f (x)

If f (a) = 0 and f (x) is increasing at x = a, explain why f (x) must have a local minimum at x = a.

Q: If f (a) = 0 and f (x)

If f (a) = 0 and f (x) is decreasing at x = a, explain why f (x) must have a local maximum at x = a.

Q: In a medical experiment, the body weight of a baby rat

In a medical experiment, the body weight of a baby rat in the control group after t days was f (t) = 4.96 + .48t + .17t2 - .0048t3 grams. (Source: Growth, Development and Aging.) (a) Graph f (t) in th...

Q: The canopy height (in meters) of the tropical bunch-

The canopy height (in meters) of the tropical bunch-grass elephant millet t days after mowing (for t Ú 32) is f (t) = -3.14 + .142t - .0016t2 + .0000079t3 - .0000000133t4. (Source: Crop Science.) (a)...

Q: Find the x-intercepts of the given function. y

Find the x-intercepts of the given function. y = x2 - 3x + 1

Q: Find the x-intercepts of the given function. y

Find the x-intercepts of the given function. y = x2 + 5x + 5