Let x and y be differentiable functions of t and let s = 2x2 + y2 be the distance between the points (x, 0) and (0, y) in the xy-plane. a. How is ds/dt related to dx/dt if y is constant? b. How is ds/dt related to dx/dt and dy/dt if neither x nor y is constant? c. How is dx/dt related to dy/dt if s is constant?

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given:     x2 + y2 = 100

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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A: Given :  x 2 + y 2 = 169  Find dx / dt and dy / dt

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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A: This question is related to implicit differentiation, We will solve it using given information.

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We can solve this as follows:

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A: xy=4 Differentiating with respect to t, we get dxydt=d4dt⇒dxdt·y+dydt·x=0  →1   a). Put x=4 in xy=4,…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Let f be an arbitrary differentiable function of x, y and z, and let x = 2u-v. y =v-2w and z = w-2u.…

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A: Given, xy = 2  - 1Diffferentiaing (1) with respect to t, we getddt(xy) = ddt(2)⇒ xdydt + ydxdt=0 -…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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A: (a) Differentiate the functions w.r.t t, ddtx2+y2=100 2xdxdt+2ydydt=0 Substitute the given values,

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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