Questions from General Calculus

Q: A particle moves on a vertical line so that its coordinate at

A particle moves on a vertical line so that its coordinate at time t is y = t3 – 12t + 3, t > 0. (a). Find the velocity and acceleration functions. (b). When is the particle moving upward and when is...

Q: The cost, in dollars, of producing units of a certain

The cost, in dollars, of producing units of a certain commodity is C (x) = 920 + 2x – 0.02x2 + 0.00007x3 (a). Find the marginal cost function. (b). Find C"(100) and explain its meaning. (c). Compare C...

Q: Show that the length of the portion of any tangent line to

Show that the length of the portion of any tangent line to the asteroid x2/3 + y2/3 = a2/3 cut off by the coordinate axes is constant.

Q: Calculate y'. y = (x4 – 3x2 + 5

Calculate y'. y = (x4 – 3x2 + 5)3

Q: Calculate y'. y = cos (tan x)

Calculate y'. y = cos (tan x)

Q: Calculate y'. y = √x + 1/3

Calculate y'. y = √x + 1/3√x4

Q: Calculate y'. y = 3x – 2/√2x +

Calculate y'. y = 3x – 2/√2x + 1

Q: Find equations of the tangent lines to the curve y = x

Find equations of the tangent lines to the curve y = x – 1/x + 1 that are parallel to the line x - 2y = 2.

Q: Calculate y'. y = 2x√x2 + 1

Calculate y'. y = 2x√x2 + 1

Q: Calculate y'. y = ex/1 + x2

Calculate y'. y = ex/1 + x2