Questions from General Calculus

Q: Suppose that x and y represent the amounts of two basic inputs

Suppose that x and y represent the amounts of two basic inputs for a production process and 10x1/2y1/2 = 600. Find dy/dx when x = 50 and y = 72.

Q: Find the point(s) on the graph of y =

Find the point(s) on the graph of y = (x2 + 3x - 1)/x where the slope is 5.

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. x4 + y...

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. y4 - x...

Q: A 4500-year-old wooden chest was found in the

A 4500-year-old wooden chest was found in the tomb of the twenty-fifth century b.c. Chaldean king Meskalumdug of Ur. What percentage of the original 14C would you expect to find in the wooden chest?

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. 3xy -...

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. y2 = 8...

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. x2 + 2...

Q: Suppose that x and y are both differentiable functions of t and

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. x2y2 =...

Q: A point is moving along the graph of x2 - 4y2 =

A point is moving along the graph of x2 - 4y2 = 9. When the point is at (5, -2), its x-coordinate is increasing at the rate of 3 units per second. How fast is the y-coordinate changing at that moment?...