Question 17 5 pt The graph of y = f(x) below consists of a semicircle and...
The graph of y = f(x) shown below consists of straight lines. Evaluate the definite integral f(x) dx. 1 -1
12.5.10 Answer the following questions about F(x)-7x+110. (A) Calculate the change in F(x) from x- 10 to x-17. (B Graph F and use geometric formulas to calculate the area between the graph of F and the x-axis from x (C) Verity that your answers from (A) and (B) are equal, as guaranteed by the fundamental theorem of calculus. 10 to x=17. (A) Calculate the change in F(x) from x 10 to x - 17. The change is© Simplify your answer.)...
(a) use polar Coordinates to evaluate cu Saty? dA, R is bounded by the Semicircle y = /2x - 7² and the line y=x.
15.16 points LarsonETS 5.3.048 My Notes Ask Your The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by using geometric formulas. 3.2) 4,2) 1 1 23456810 -2 -3 8,-2 (a)) dk (b) 2x) dx (c)x) dx (d) f" (d)-7x) dx (e) x) dx 10 Need Help? Taik to Tuter Submit Answer Save Progress
The graph of f(x) shown here, consists of two straight line segments and two quarter circles. Find the value of Use the definite integral to find the area between the x-axis and fix) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval f(x)= 3x":1-3,31 The area between the x-axis and fx) is (Simplify your answer.) Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and circular...
8. Consider the function f whose graph consists of four line segments and a semicircle as shown below. Define g(x) by g(x) = 5 f(t)dt. Note: The graph is of the function f. The graph of g is NOT shown to you. a) Find all values of x with –5 < x < 5 for which g'(x) = 0. Explain your reasoning. b) Find g(-1) and g"(-1). Show the work that leads to your answers. c) Find all values of...
answer 1-4 6.3.14 Compute the area of the shaded region that is shown in the graph below. The area of the shaded region is (Simplify your answer.) a y = - 2x - 1)(x-6) Q ni core: 0 of 1 pt 1.3.11 Fill in both of the answer boxes to complete the integral Set up the definite integral that gives the area of the shaded region of the graph below. Do not evaluate the integral JO Question Use a Riemann...
5. (12 pts.) Consider the region bounded by f(x) 4-2x and the x-axis on interval [-1, 4] Follow the steps to state the right Riemann Sum of the function f with n equal-length subintervals on [-, 4] (5 pts.) a. Xk= f(xa) (Substitute x into f and simplify.) Complete the right Riemann Sum (do not evaluate or simplify): -2 b. (1 pt.) lim R calculates NET AREA or TOTAL AREA. (Circle your choice.) Using the graph, shade the region bounded...
consider the differential equation dy/dx = -2x/y. find the particular solution y = f(x) to the guven differential equation witht the intial condition f(1)= -1 umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
The graph of /(x, y) = 2x + y2 is shown below. f(x, y) = 2x+y eql : 2 = 2 10 e92: y = 2 10 eq3 : x = 1 -10 The curve resulting from slicing the graph of f(x, y) with the plane 2 = 2 is Select) The curve resulting from slicing the graph of f(x,y) with the plane y = 2 is [Select) The curve resulting from slicing the graph of f(x, y) with the...