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This te (a) Use a graphing utility to graph f(x)=x® - 2x+4 on the interval [-2.2]...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
Ax) 1449 1431 1429 1428 1427 1408 Use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.) x-8 lim x8 x-9x+8 1429 Need Help? Read It Talk to a Tutor O 0.44/1 points Previous Answers LarCalc11 1.2.009 My No Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 3 sin x lim x0 -0.1 -0.01 -0.001...
Use the given function and the given interval to complete parts a through c. лл f(x) = sin 2x on a. Find the critical point(s) off on the given interval. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed. Type an exact answer, using a as needed.) B. There are no critical points off on the...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
Chapter 4 tch the graph. Each part Use the function below on the interval specified to answer the following questions and ske counts equally. f(x)= ex sin(x), [-π, π] a. Find any x- and y-intercepts for the specified interval. Show work. b. Find any horizontal and vertical asymptotes. Show work. c Give the intervals in interval notation where the function is increasing and where it is decreasing for the specified interval. Show your work. You may show your work in...
A force of 52 pounds acts on the pipe wrench shown in the figure below 18 in. (a) Find the magnitude of the moment about O by evaluating OA x FIl (O s 0 s 1809) Use a graphing utility to graph the resulting function of e 100 100 80 60 40 40 20 20 150 50 100 150 100 300 600 250 500 200 400 150 300 100 200 150 50100 50100 150 Round your answer to two decimal...
S o mo (StS 4. (20 pts) Analyze the graph of f(x) = 2x + 3x2 - 12x +1. fo.6x246-12 a. Use technology to find the x-and y-intercepts. (Round to two decimal places.) x Int (-3.34,0), (0.09.0) (1.76, u) yint 10.1) b. Find all the stationary points. If none, write NONE. +x) - 6x2 +6 Y-12 0.6*26* 2 8 1 -2 C. Use the first derivative test to determine if the stationary points are relative maxima, minima or neither. f(-3)...
Consider the following graph of f(x) on the closed interval (0,5): 5 4 3 2 1 0 -1 0 1 2 3 5 6 (If the picture doesn't load, click here 95graph2) Use the graph of f(x) to answer the following: (a) On what interval(s) is f(x) increasing? (b) On what interval(s) is f(x) decreasing? (c) On what interval(s) is f(x) concave up? (d) On what interval(s) is f(x) concave down? (e) Where are the inflection points (both x and...