Questions from General Calculus

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. xy3 = 2; x = - 14, y = -2

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. √x + √y = 7; x = 9, y = 16

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. xy + y3 = 14; x = 3, y = 2

Q: According to legend, in the fifth century King Arthur and his

According to legend, in the fifth century King Arthur and his knights sat at a huge round table. A round table alleged to have belonged to King Arthur was found at Winchester Castle in England. In 197...

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 = 3xy - 5; x = 2, y = 1

Q: Find the equation of the tangent line to the graph of x2

Find the equation of the tangent line to the graph of x2 y4 = 1 at the point (4, 12) and at the point (4, - 12 ).

Q: Find the equation of the tangent line to the graph of x4

Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the point (2, -3).

Q: The graph of x4 + 2x2y2 + y4 = 4x2 - 4y2

The graph of x4 + 2x2y2 + y4 = 4x2 - 4y2 is the lemniscate in Fig. 6. (a) Find dy/dx by implicit differentiation. (b) Find the slope of the tangent line to the lemniscate at (√6/2, &...

Q: The graph of x4 + 2x2y2 + y4 = 9x2 - 9y2

The graph of x4 + 2x2y2 + y4 = 9x2 - 9y2 is a lemniscate similar to that in Fig. 6. (a) Find dy/dx by implicit differentiation. (b) Find the slope of the tangent line to the lemniscate at (â ...

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 that the equation 30x1/3y2/3 = 1080 describes all input amounts where the output of the process is 1080 un...