Questions from General Calculus

Q: Compute the following. d/dt (dy/dt

Compute the following. d/dt (dy/dt), where υ = 2t2 + 1/t + 1

Q: A company finds that the revenue R generated by spending x dollars

A company finds that the revenue R generated by spending x dollars on advertising is given by Find dR/dx |x=1500.

Q: A supermarket finds that its average daily volume of business, V

A supermarket finds that its average daily volume of business, V (in thousands of dollars), and the number of hours, t, that the store is open for business each day are approximately related by the fo...

Q: If s = PT, find (a) ds/

If s = PT, find (a) ds/dP, (b) ds/dT.

Q: If s = P2T, find (a) d2s/

If s = P2T, find (a) d2s/dP2, (b) d2s/dT2.

Q: Differentiate. y = (2x + 4)3

Differentiate. y = (2x + 4)3

Q: If s = Tx2 + 3xP + T2, find:

If s = Tx2 + 3xP + T2, find: (a) ds/dx (b) ds/dP (c) ds/dT

Q: If s = 7x2y√z, find: (a

If s = 7x2y√z, find: (a) d2s/dx2 (b) d2s/dy2 (c) ds/dz

Q: Let C(x) be the cost (in dollars)

Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. Interpret C (50) = 5000 and C’ (50) = 45.

Q: Estimate the cost of manufacturing 51 bicycles per day in Exercise 37

Estimate the cost of manufacturing 51 bicycles per day in Exercise 37. Exercise 37: Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. Interpret C (50) = 5000...