Find the differential dg(5, -5) for the g(x,y) = -8x2 + 5xy + 3y2; x = 5, y = -5, dx = 0.01, dy = -0.03
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Find the differential dg(5, -5) for the g(x,y) = -8x2 + 5xy + 3y2; x =...
Problem 8. (10 points) Let y = V5 - x Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when x = 1 and dx = 0.03 Note: You can earn partial credit on this problem.
Let f be the function defined as follows. y=f(x)=8x2-2x+10 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.) dy = (c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.) Δy =
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3) (xy + y) dx + (x + x²y + x²g?)dy=0 differential equations
Question 1 (PLO-2,CLO-2,C3)Marks-(12+13 a) Solve the following Differential Equation. (x2 – 3y2)dx + 2xydy = 0 b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. x+y dx dy = 0 y-1 2 y-1
Find all local extrema for the function f(x,y) = -6x? -5xy - 3y2 + 111x +58 +5. Select the correct choice below and fill in any answer boxes within your choice. O A. There are local maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and fill in any answer boxes within your choice. O A. There are local minima...
Problem 2. (10 points) Let y = V6 – x. Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when x = 1 and dx = 0.04 Note: You can earn partial credit on this problem.