Consider the system of differential equations y⃗ ′=[11−24]y⃗ , y⃗ (0)=[−71]. Verify that y⃗ (t)=c1e2t[2−1]+c2e3t[1−1]. is a solution to the system of differential equations for any choice of the constants c1 and c2. Find values of c1 and c2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of y⃗ ′=Py⃗ , y⃗ (0)=y⃗ 0).

George is putting trim around his rectangular deck, including the gate. he will need 44 feet of trim to do the entire deck. if the deck is 13 feet long, how wide is the deck?

Hannah paid $3.20 for 16 ounces of potato chips. hank paid $3.23 for 17 ounces of potato chips. who paid less per ounces?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true