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1. [-/5 Points) DETAILS 0/1 Submissions Used Find the area of the region bounded by the...
ONLY #6 i need help with please
5. Find the area of the region bounded by the graphs of the equations. y = 6 + x = 0, y = 8, y = 0 Read It Need Help? Talk to a Tutor 6. [-/1 Points) DETAILS LARCALCET7 5.4.043. Find the area of the region bounded by the graphs of the equations. y = x = 1, x = e, y = 0 Need Help? Read it Talk to a Tutor
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
5. The Area of a Plane Region. (15 points) a. Find the left Riemann sum for the region bounded by the graph of f(x) = x2 + 2x + 3 and the x-axis between x = 0 and x = 2. (Limit Definition) b. Use Fundamental Theorem of Calculus to solve part a. n с = пс Ži=n(n+1) n(n + 1)(2n +1) 6 =1 i=1 O, O A &
Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4, x = 0, x = 2, y = 0 Evaluate the definite integral by the limit definition. 7 x dx -6 X Evaluate the definite integral. Use a graphing utility to verify your result. (t1/ dt
1. [-/10 Points] DETAILS LARCALC11 15.4.005. 0/6 Submissions Used Verify Green's Theorem by evaluating both integrals Ja yax+ y2 dx + x2 dy дм ду for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 + x2 dy AS COMO an дх aM ду dA =
10. + -/1 points TanApMath7 11.4.013. 0/3 Submissions Used Find the area of the region under the graph of the function f on the interval [-8, -1]. f(x) = 4 - Px square units
Find the vector field F such that if Green’s Theorem is applied to F and the region bounded by C is D = {(x, y) : a ≤ x ≤ b, 0 ≤ y ≤ c}, then the result is the fundamental of calculus from Calc 1. Justify why the desired result holds.
16. -/6.25 POINTS 0/2 Submissions Used ASK YOURT Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line X-5 (a) the x-axis 12000 375 (b) the y-axis c ontano
9. (a) Let Ao(x) = / (1-t*)dt, Ai(z) = / (1-t2) dt, and A2(z) = / (1-t2)dt. Compute these explicitly in terms ofェusing Part 2 of the Fundamental Theorem of Calculus. b) Over the interval [0,2], use your answers in part (a) to sketch the graphs of y Ao(x), y A1(x), and y A2(x) on the same set of axes. (c) How are the three graphs in part (a) related to each other? In particular, what does Part 1 of...
2. Sketch the region bounded by the graphs of the equations and find the area of the region f(x) = x2 + 2x +1 g(x) = 3x +3