Questions from General Calculus

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. y4 - x4 = y2 - x2

Q: A sample of radioactive material has decay constant .25, where

A sample of radioactive material has decay constant .25, where time is measured in hours. How fast will the sample be disintegrating when the sample size is 8 grams? For what sample size will the samp...

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. x3 + y3 = x2 + y2

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. 2x3 + y = 2y3 + x

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. x4 + 4y = x - 4y3

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. xy = 5

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. xy3 = 2

Q: Find all x such that dy/dx = 0,

Find all x such that dy/dx = 0, where y = (x2 - 4)3 (2x2 + 5)5.

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. x(y + 2)5 = 8

Q: Suppose that x and y are related by the given equation and

Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. x2y3 = 6