For what value of k, k 0, does the integral from 0 to k of the quantity 4 times k times x minus 5 times k, dx equals k squared ?

Question

For what value of k, k > 0, does  ? (2 points)

A
1

B
2

C
3

D
4

Luke G. · Accepted Answer

doing the integral gives us:2kx^2 - 5kx from 0 to k or2k^3 - 5k^2We require 2k^3 - 5k^2 = k^2 or with k != 0,2k - 5 = 1 =>k = 3The answer is C, k=3

Yefim S. · Answer

(2kx2 - 5kx)0k = k2; 2k3 - 5k2 = k2, 2k2(k - 3) = 0; so k = 3Answer is C

For what value of k, k > 0, does the integral from 0 to k of the quantity 4 times k times x minus 5 times k, dx equals k squared ?