4.3 4.4 4.7 4.8 Homework

6. [0.74/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.043. MY NOTES ASK YOUR TEACHER The graph of the derivative f of a continuous function fis shown. (Assume f' continues to co.) -4. y = f'(x ) 2 2 6 -2 (a) On what interval(s) is f increasing? (Enter your answer in interval notation.) (0,2) U (4,6) U (8,00) On what interval(s) is f decreasing? (Enter your answer in interval notation.) (2,4) U (6,8) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) * = X At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) 4,8 (c) On what interval(s) is f concave upward? (Enter your answer in interval notation.) (3,6) U (6,00) On what interval(s) is f concave downward? (Enter your answer in interval notation.) (0,3)7. [0.87/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.053. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. (If an answer does not exist, enter DNE.) F (x ) = XV6 - x (a) Find the interval(s) of increase. (Enter your answer using interval notation.) (- 00, 4) Find the interval(s) of decrease. (Enter your answer using interval notation.) (4.6) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) DNE Find the local maximum value(s). (Enter your answers as a comma-separated list.) 5.656 X (c) Find the inflection point. ( x, V ) = DNE Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) DNE Find the interval(s) where the function is concave down. (Enter your answer using interval notation.) (- 00,6)1. [0.83/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.4.004. MY NOTES ASK YOUR TEACHER Given that lim f(x) = 0 x-a x49(x) = 0 lim h(x) = 1 lim p(x) = 00 lim q(x) = 0, evaluate if the following limits not are indeterminate forms. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [f( x) 19 ( x) Indeterminate (b) lim [A( x) ]P ( x ) 0 (c) lim [h(x)](x ) Indeterminate (d) lim [p(x) ]f( x) Indeterminate (e) lim [p(x)19(x) X5. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.8.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list. ) 9% = 6 - x2 X = 0.7683287 X Need Help? Read It 6. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.8.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) arctan(x) = x2 - 4 X = -1.974344,2.487687 X Need Help? Read It