Use the information to find and compare △y and dy. (Round your answers to three decimal places.) y = 0.8x9 x = 1 △x = dx = 0.1
△y =
dy =
11. [-18.34 Points] DETAILS LARCALC11 3.9.013. Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y = 0.4x4 x = 1 Ax = dx = 0.1 Ay dy
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3 x , x = 4, Δx = 1
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 =
Compute Ay and dy for the given values of x and dx - Ax. (Round your answers to three decimal places.) y - 2x - x2, x-2, Ax - -0.4 Ay - dy - Sketch a diagram showing the line segments with lengths dx, dy, and Ay. у 31 2 23- dy wy sy dy - 1 3 -1 a o -1 2 2 dy dy ay -1
3. Find the values of dy and Ay for y = 2x2 + x - 3 when x = 2 and Ax=dx=-0.03 Ay = f (x+ Ax) - S (x) and dy = f'(x) dx Go to four decimal places.
Slx, y) dx dy for the shaded Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate domain by computing the Riemann sum with the given sample points. -1.5 (Use decimal notation. Give your answer to two decimal places.) Is(x,y)dx dy = dx dy
use euler’s method to approximate the indicated function value
to three decimal places using h= 0.1. dy/dx = e^-y + x; y(0)=0;
find y(0.4)
Use Euler's method to approximate the indicated function value to three decimal places using h=0.1. a = e "Y + x; y(0) = 0; find y(0.4)
Use logarithmic differentiation to find dy/dx. y = xy - 8 x > 0 dy dx Need Help? Read It Talk to a Tutor
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.
Compute Ay and dy for x 4 and dx Ax=-0.05. (Round the answers to three decimal places.) y 4x- x2 dy Ay