12.11 Obtain the inverse Laplace transform of each of the following functions.

(a) F1(s) = 2 + 4(s − 4) s2 + 16
(b) F2(s) = 4 s + 4s s2 + 9
(c) F3(s) = (s + 5)e −2s (s + 1)(s + 3)
(d) F4(s) = (1 − e −4s)(24s + 40) (s + 2)(s + 10)
(e) F5(s) = s(s − 8)e −6s (s + 2)(s2 + 16)
(f) F6(s) = 4s(2 − e −4s)

What is the quadric regression equation that fits these data

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.

Which of these angles are complementary? a. 45o and 45o b. 63o and 117o c. 45o and 135o d. 90o and 45o