Finding the Area of a RegionIn Exercises 11-14, (a) use a graphing utility to graph the region bounded by the graphs of the equations and (b) use the

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- Per: Homework 5 ** This is a 2-page document! e or angle measure. Round answ 2. 3 14 0 16 x: 9022arrow_forwardx The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of g"(-8) in simplest form. g -1 8 y 7 10 6 LC 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 -1 -2 -3 -4 -5 56 -6 -7 -8 4 5 Graph of f 10 6 00 7 8 9 10 xarrow_forwardThe function f is shown below. If g is an antiderivative of f such that g(6) = 2, what is the maximum value of g on the closed interval [-9,9]? 8 7 6 Сл 5 4 3 1 y Graph of f -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 23 4 -1 -2 -3 -4 -6 56 -5 -7 -8 LO 5 9 7 8 9 10arrow_forward
- x The function of is shown below. If I is the function defined by g(x) = [* f(t)dt, write the equation of the line tangent to the graph of 9 at x = -3. g y Graph of f 8 7 6 5 4 32 1 x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 56 -6 -7 -8arrow_forwardLet f(x)=4excosxf'(x)=arrow_forwardThe graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by x g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9). 8 y 7 76 LO 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 ♡. -1 -2 3 -4 56 -5 -6 -7 -8 Graph of f 4 5 16 7 8 9 10arrow_forward
- The areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be C defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]? 17 y Graph of f 00 8 76 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3-2-1 -2 702 4 1 21 3 4 568 -4 -5 --6 -7 -8 x 5 6 7 8 9 10 17arrow_forwardA tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?arrow_forwardSolve please and thanks!arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
