Questions from General Calculus

Q: The annual sales S (in dollars) of a company may

The annual sales S (in dollars) of a company may be approximated by the formula S = 50,000√(e√t), where t is the number of years beyond some fixed reference date. Use a logarithmic derivative to det...

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. x2 - y2 = 1

Q: A function h (x) is defined in terms of a

A function h (x) is defined in terms of a differentiable f (x). Find an expression for h(x). h(x) = [f (x)/x2]

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 - 6 = 0

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. y5 - 3x2 = x

Q: Determine the growth constant k, then find all solutions of the

Determine the growth constant k, then find all solutions of the given differential equation. y' - 6y = 0

Q: If ex = 5, write x in terms of the natural

If ex = 5, write x in terms of the natural logarithm.

Q: If e-x = 3.2, write x in

If e-x = 3.2, write x in terms of the natural logarithm.

Q: If ln x = -1, write x using the exponential

If ln x = -1, write x using the exponential function.

Q: If ln x = 4.5, write x using the

If ln x = 4.5, write x using the exponential function.