Answer to Question #262714 in Calculus for Alunsina

Question

a. The raduis of a sphere was measured and foubd to be 20cm with a possible error in the meadurement of at most 0.05cm. What is the maximum percentage error using this value of the radius to compute the volume of the sphere? The formula is V=4/3(πr³) where V us the volume and r is the radius if the sphere.

b. Find the slope of the line tangent to the graph of the function y=x²+3x+4 at x=0.

c. Find the slope if the line tangent to the function f(x)=sqrt(4-5x) at x=-1.

d. Find the slope of ths line tangent to the graph of the function f(x)=x+2/2x+5 at x=-2.