1
answer
0
watching
77
views
6 Nov 2019
2./As a producer of cube-shaped watermelons, you have just received an order from a superstitious customer who would like a watermelon that has a volume of 8.1 cubic feet. You need to construct a weighted cage to grow the watermelon in, but have forgotten your calculator. Fortunately, you can use your knowledge of calculus to approximate the internal dimensions of this cubic cage. (a) Compute the local linearization of the function f(x) =x"3 at x= 8. (b) Use your work in (a) to approximate the side length of a cube with volume 8.1 cubic feet. (c) Is your approximation from part (b) an overestimate or an underestimate? Use an algebraic argument (not your calculator) to justify your answer. Show transcribed image text
2./As a producer of cube-shaped watermelons, you have just received an order from a superstitious customer who would like a watermelon that has a volume of 8.1 cubic feet. You need to construct a weighted cage to grow the watermelon in, but have forgotten your calculator. Fortunately, you can use your knowledge of calculus to approximate the internal dimensions of this cubic cage. (a) Compute the local linearization of the function f(x) =x"3 at x= 8. (b) Use your work in (a) to approximate the side length of a cube with volume 8.1 cubic feet. (c) Is your approximation from part (b) an overestimate or an underestimate? Use an algebraic argument (not your calculator) to justify your answer.
Show transcribed image text Tod ThielLv2
16 Feb 2019