3.10 Homework - Linear Approximation,Differentials (Homework)

6. [-/1 Points] DETAILS SCALCET9 3.10.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Find the differential dy. y = V3+x2 dy = (b) Evaluate dy for the given values of x and dx. x = 1, dx = -0.2 dy = Need Help? Read It Watch It7. [-/1 Points] DETAILS SCALCET9 3. 10.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal places.) y = Vx - 1, x = 2, Ax = 0.8 Ay = dy = Sketch a diagram showing the line segments with lengths dx, dy, and Ay. 1.5 1.5 1.5 dx 4 dy dx 1.0 1.0 1.0 dy Ay dy 0.5 0.5 0.5 X X O 1 2 3 1 2 3 1 2 3 Ci\f8. [-/1 Points] DETAILS SCALCET9 3.10.035.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a linear approximation (or differentials) to estimate the given number. 0.01 Need Help? Read It Master It 9. [-/1 Points] DETAILS SCALCET9 3.10.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm ) in the calculated area of the disk. (Round your answer to two decimal places.) cm 2 (b) What is the relative error? (Round your answer to four decimal places.) What is the percentage error? (Round your answer to two decimal places.) % Need Help? Read It10. [-11 Points] SCALCETB 3.10.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use differentials to estimate the amnunt of paint needed (In m3) to apply a mat of paint 0.04 cm thick tn a hemispherical dame With diameter 56 m. (Round your answer to two decimal places.) E m3 Need Help