The answer sheet has three pages.it is the first pagesecond pageThird/last page
8. [-/1 Points] DETAILS SCALCET8 4.3.AE.002.NVA MY NOTES ASK YOUR TEAC EXAMPLE 2 Find the local...
Exercise (b) Find the local minimum and maximum values of f Step 1 We know f(x) changes from increasing to decreasing at x = 4 herefore, fT 8V2 is a maximum maximum. Step 2 e know f(x) changes from decreasing to increasing at x = L. Therefore, is a minimum So, the local minimum and maximum values of f are as follows local minimum value-8/2 local maximum value0 kip (you cannot come back)
3/1 Points] DETAILS PREVIOUS ANSWERS SCOLALGCC1 1.8.008. MY NOTES ASK YOUR Find a function that models the quantity described. You may need to consult the formulas for area and volume listed on the inside back cover of this book, The perimeter P of a rectangle whose length is 4 it more than its width x. P(x) = X Need Help? Talk to Tutor Submit Answer Points) DETAILS PREVIOUS ANSWERS SCOLALGCC1 1.7.034. graph of a function is given. (a) Find all...
4. [-/10 Points] DETAILS SCALCET8 11.8.AE.002. MY NOTES EXAMPLE 2 For what values of x does the series § (x – 3)" converge? n = 1 SOLUTION Let a, = (x - 3)"/n. Then an + 1 n (x - 3)" 1x - 3 → as n 00. and divergent when x - 3 > Now By the Ratio test, the given series is absolutely convergent, and therefore convergent, when |x - 3|< |x - 3| <1 | <x -...
6. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.013. MY NOTES ASK YOUR TE Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R,(x) > 0.] f(x) = sin(x) f(x) = 3 ( xan (-1)" (2n)! n = 0 x Find the associated radius of convergence R. R = ♡ Need Help? Read It Talk to a Tutor
EXAMPLE 3 Sketch the graph of x) = 5xe". (A) The domain of f is R. (B) The x- and y-intercepts are both (C) Symmetry: None. (D) Because both 5x and ex become large as x →oo, we have limx→”5xex=00, As x →-oo, however, ex→ and so we have an indeterminate product that requires the use of l'Hospital's Rule: 5xlim Video Example Thus the x-axis is a horizontal asymptote (E) f(x) = 5xex + 5e" = Since ex is always...
1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.) 2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The...
8,14 please 8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain (d) What are the x-coordinates of the inflection points of f? Why? y = f'(x) 2 6 8 9-18 (a) Find the intervals on which f is increasing...
Page 2 ame: Written Portion 1. [8 points) Find relative maximum and minimum values and stive maximum and minimum values and the the intervals the function is increasing and decreasing for f(x) = €28–322
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5) 9(6) ) g(6)- (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + √4 - x 2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.) f(x) = 2x3 + 3x2 − 72x (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) ∪ ( , ) Find the interval on which f is decreasing. ( , ) (b) Find the local minimum and...