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Plz answer each of them thanks so much Make Interactive 3. Find the partial derivatives of the function f(z, y) = zye f.(I, y) =

Plz answer each of them thanks so much

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Make Interactive 3. Find the partial derivatives of the function f(z, y) = zye"" f.(I, y) = f,(z, y) = fry(I, y) = fur(z, y) = Make Interactive 13. The temperature on a heated metal plate positioned in the first quadrant of the ry-plane is given by C(x, y) = 25e (2-1)-(9-1) Assume that temperature is measured in degrees Celsius and that z and y are each measured in inches. a. Determine Cra(I, y) and Cw(x, y). Do not do any additional work to algebraically simplify your results. b. Calculate Cz,(1.1, 1.2). Suppose that an ant is walking past the point (1.1, 1.2) along the line y = 1.2. Write a sentence to explain the meaning of the value of Cz,(1.1, 1.2), including units. c. Calculate Cy,(1.1, 1.2). Suppose instead that an ant is walking past the point (1.1, 1.2) along the line x = 1.1. Write a sentence to explain the meaning of the value of Cy(1.1, 1.2), including units. d. Determine Cry(x, y) and hence compute Cry(1.1, 1.2). What is the meaning of this value? Explain, in terms of an ant walking on the heated metal plate. 15. Let f(x, y) = zy represent the kinetic energy in Joules of an object of mass a in kilograms with velocity y in meters per second. Let (a, b) be the point (4,5) in the domain of f. a. Calculate 7 at the point (a, b). Then explain as best you can what this second order partial derivative tells us about kinetic energy. b. Calculate ay of at the point (a, b). Then explain as best you can what this second order partial derivative tells us about kinetic energy. C. Calculate a at the point (a, b). Then explain as best you can what this second order partial derivative tells us about kinetic energy. d. Calculate argy at the point (a, b). Then explain as best you can what this second order partial derivative tells us about kinetic energy

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