HSA 1020 Final: Case G

Amodel for describing the population of adult flour beetles involves evaluating the following integral, where g(x) is the per-unit-abundance growth rate for a population of size x. x) dx The researchers consider the simple case in which g(x)a bx for positive constants a and b. Find the integral in this case. OA. 0 B. aInx-bxOC In (bx) _ ax + C (-) D. In x-bx + C

In each case below, determine whether the function phi : G - > G' is a homomorphism. If 0 is a homomorphism, find all elements in the kernel Ker phi of phi Let G = (a) be a cyclic group of order 12 and let G' = (b) be a cyclic group of order 18. Define phi(aj) = b15j, 0

In each case find the matrix A: 2A - [1 0 -2 4 7 3]T = [2 0 -3 4 0 8]. (3AT - 2[0 2 -5 2 1 3])T = [7 0 -1 2 1 5].