Questions from General Calculus

Q: Write the equation of the tangent line to the curve y =

Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

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

Find the x-intercepts of the given function. y = 2x2 + 5x + 2

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

Find the x-intercepts of the given function. y = 4 - 2x - x2

Q: Find the maximum of Q = xy if x + y =

Find the maximum of Q = xy if x + y = 2.

Q: Find two positive numbers x and y that maximize Q = x2y

Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

Q: Find the minimum of Q = x2 + y2 if x +

Find the minimum of Q = x2 + y2 if x + y = 6.

Q: In Exercise 7, can there be a maximum for Q =

In Exercise 7, can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer. Exercise 7: Find the minimum of Q = x2 + y2 if x + y = 6.

Q: Find the positive values of x and y that minimize S =

Find the positive values of x and y that minimize S = x + y if xy = 36, and find this minimum value.

Q: Find the positive values of x, y, and z that

Find the positive values of x, y, and z that maximize Q = xyz, if x + y = 1 and y + z = 2. What is this maximum value?

Q: There are $320 available to fence in a rectangular garden.

There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $6 per foot and the fencing for the other three sides costs $2 per foot. [See Fi...