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. x3y2 - 4x2 = 1

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 + 1)2 (y - 1)2 = 1

Q: In 1947, a cave with beautiful prehistoric wall paintings was discovered

In 1947, a cave with beautiful prehistoric wall paintings was discovered in Lascaux, France. Some charcoal found in the cave contained 20% of the 14C expected in living trees. How old are the Lascaux...

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 = x3y3

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 + 4xy + 4y = 1

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. x2y + y2x = 3

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. x3y + xy3 = 4

Q: Use implicit differentiation of the equation to determine the slope of the

Use implicit differentiation of the equation to determine the slope of the graph at the given point. 4y3 - x2 = -5; x = 3, y = 1

Q: Use implicit differentiation of the equation to determine the slope of the

Use implicit differentiation of the equation to determine the slope of the graph at the given point. y2 = x3 + 1; x = 2, y = -3

Q: The graph of y = (x2 - 1)4 (

The graph of y = (x2 - 1)4 (x2 + 1)5 is shown in Fig. 3. Find the coordinates of the local maxima and minima. Figure 3: