Suppose that in the interval 6 x 15 you know that the graph of y = f(x) rises as you move from left to right; and the graph of y = f(x) is concave down. Assume that f and all its derivatives exist for all x in 6 x 15

 

Select the correct comparison.

 

 f(8)  _______ f(11) 

_______  

_______  

_______  0

 

QUESTION 7 Finddx O a. -66x-7 +c 5x O d., 55 QUESTION 8 Find the derivative for the function f(x) O a. 2 (5x+6) Ob. 10 (5x +6) ○ c. 5(5x +6) O d. 10 (5x+6) (5x +6) QUESTION 9 Find the derivative of e2 c. None of the options. Click Save and Submit to save and submit. Click Save All Answers

08points) For this problem, question (b) is a bonus question for (12 points) extrat credit. (a) (8pts) Find the formal first derivative and second derivative of the power series Σ(n+2)! n(na)! rn (b) Using your answer from question (a), verify that the function defined by: y(z)-Σmzt2 is a solution for the differential equation: Here y" stands for the second derivative of y and y' stands for the first derivative of y. Hint: Use an identification technique together with the fact that n!

Question 1 (2 points) 2 + + ve Find th e derivative of f (x) = z 1 Save Question 2 (2 points)