please explain in detail 4 -11 23 4 Graph of f Let f be a continuous function defined on the closed interval -1Sxs4. The graph of f, consisting of three line segments, is shown above. Let g be the function defined by g(x) = 5 +1.f(t) dt for-1 $154. (A) Find g(4). (B) On what intervals is gincreasing? Justify your answer. (C) On the closed interval 1 s xs 4, find the absolute minimum value of g and find the...
NO CALCULATOR ALLOWED Let h (x) = 1,-/1 + 4t2 dt. For x 20, h(x) is the length of the graph of g from t = 0 to t = x. Use Euler's method, starting at x = 0 with two steps of equal size, to approximate h(4). (c) NO CALCULATOR ALLOWED Let h (x) = 1,-/1 + 4t2 dt. For x 20, h(x) is the length of the graph of g from t = 0 to t = x....
Detailed solution please Let f be defined by f(x) = 25(x + 4) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator. (a) List the critical value(s) of f. If there is more than one, list them separated by commas. (b) Find where f is decreasing. Answer in interval notation. (c) Find where f is increasing. Answer in interval notation. (d)...
Can you help me? This is linear algebra. 3. (6) Let B-(1-3r,x +2x2,1-3x-8x2,2+x-5x2) be the set of vectors in P a) Is the set B a basis for P2? Justify. If it is not a basis for P, then extend B to a basis for P2 Calculator is allowed b) Use the basis found in part (a) to find the coordinate vector of f--1-3x-5x2 Calculator is allowed 3. (6) Let B-(1-3r,x +2x2,1-3x-8x2,2+x-5x2) be the set of vectors in P a)...
Let g be the function defined by 1 if x < 6 g(x) = 2 - 6 if x 26. Find g(-6), g(0), g(6), and g(12). 9(-6) g(0) = 9(6) 9(12) =
Really need help on those two!! Show steps!! ( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
(7 points total) Calculator allowed. Let f(x) = -x2 + 4, g(x) = x4 + 3x3 – x2 + 1, and let R be the region enclosed by f(x) and g(x). y -5 -2 0 . -5 -10 -15 Made with Desmos (a) (2 points) Find the area of R, round to three places. (b) (3 points) Suppose R is the base of a solid whose cross-sections are semi-circles perpendicular to the x-axis. Find the volume of the solid. Round...
Question 3 2 pts Please do not use a calculator for this problem. रिकार 2 2 3 4 5 (5.-1) Graph of f' Let f be a function defined on the closed interval -5 58s 5 with f(1) = 3. The graph of the derivative off, consists of two semicircles and two line segments, as shown above. (a) For -5 <x< 5, find all values x at which f has a relative maximum. Justify your answer. (b) For -5 <...
DO ALL PARTS PLEASE Let f and g be the functions defined by f(x) = 1 +x+7-24 and g(x) = x* -6.572 +6x + 2. Let R and S be the two regions enclosed by the graphs off and g shown in the figure above. (a) Find the sum of the areas of regions R and S. (b) Region S is the line of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the...
(-5,2) (-2,-1) Graph of g The continuous function g has domain -5 < x < 2. The graph of g, consisting of two line segments and a semicircle, is shown in the figure above. The graph of g has a horizontal tangent at x = -1. Let h be the function defined by h(x) = S-29(t)dt for -5 < < 2. (a) Find the x-coordinate of each critical point of h on the interval -5 < x < 2. (b)...