z = x2 + y2, where x and y are increasing at the constant rates of 2 units per second and 3 units per second, respectively. What is the set of points for which the rate of change of z is zero?

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Q: What is the set of points for which the rate of change of z is

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A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

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Q: In what directions is the derivative of ƒ(x, y) = (x2 - y2 )/ (x2 + y2 ) at P(1, 1) equal to zero?

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Q: Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of…

A: This question is related to application of derivatives.

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Q: 1- Find the average rate of change for y == x, = 1 X = 2

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Q: Consider the ordered pair of points below. (X1, V1) = (-8, -7) (x2, Y2) = (-5, 2) Find the average…

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Q: Suppose x and y are functions of third variable t. In the equation +y²=45, what are the values of…

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Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

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Q: Suppose x and y are functions of third variable t. In the equation +y=45, what are the values of the…

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Q: Suppose a and y are related by a constant rate of change Ay and = 2, and y 4 when x = 3. Ax

A: Suppose x and y are related to the constant rate of change and ∆y∆x=2and y = 4 when x= 3

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Q: If the rate of change of y with respect to x is equals to 2-y and y=8 and x=0. Find y when x=ln(2).

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A: We can use the concept of calculus in order to solve the given problem.