8. [-/1 Points] DETAILS 0/100 Submissions Used MY NOTES ASK YOUR TEACHE (a) Find the differential dy. y = COS X dy (b) Evaluate dy for the given values of x and dx. (Round your answer to three decimal places.) x = 1/4 and dx = -0.05. dy = 9. [-/1 Points] DETAILS 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m 3Find the linear approximation of the function f(x) = \\1 - x at a = 0. L(x) = 1-* Use L(x) to approximate the numbers v 0.9 and v 0.99. (Round your answers to four decimal places.) V 0.9 = .9486 V 0.99 ~ .9949 Enter a number. Illustrate by graphing f and the tangent line. w 4 X X 5 10 15 -2 2 4 6 8 -1- -2 -2 O -41 O -31