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3. (10 pts) Find the area of the region bounded between y = xe-*?, , y...
3.Find the area of the region bounded by the parametric curve and the x-axis. (10 pts) = 6 (0- sin 0) y=6(1 - cos 0) 0<02T Find the slope of the tangent line at the given point. (10 pts) 4. r 2+sin 30, 0=T/4
1. [-/5 Points) DETAILS 0/1 Submissions Used Find the area of the region bounded by the graphs of the equations. y = 6 + x x = 0, X = 8, y = 0 2. (-/5 Points] DETAILS 0/1 Submissions Used Use the Second Fundamental Theorem of Calculus to find F"(x). F(x) = - 6". 8t cos(t) dt F'(x) =
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 &
3) Consider the region R bounded by y 9-x2,y = 0, and x 0 (in the first quadrant) (Note: you may use MATH 9 and your answers should be correct to 4 decimal places) c) Sketch the graph and find the volume of the solid obtained by rotating Rabout the line y = - 1 Vertical or Horizontal slicing? 1=S4y) dy ? V Slice is a Disk or a Washer? A or Arca of a slice A = Volume V...
Find the area of the region bounded by the graph of the equation. 5. Y = va, X = 1, x = 8, y = 0 y = 0 x = 4, x = 1, 6. y = x2 + 3,
Find the area of the following region Sketch the bounding curves and the mopon in question The region in the fint quadrant bounded by y2 and y-2sin on the interval Choose the correct graph below OA OB OC OD Set up to Wegral hat will give the sea of the region. Choose the corect answer below OA 12 siny-2) dy OB sin-21 oc. Jaz 22 - 2 single OD 2 Click to set your ar Find the area of the...
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
5. (10 pts.) Find the area shaded below which is bounded by the curves y = x2 (red), y = x + 2 (blue) and x axis. (The graph is not drawn to scale). y=x2 y=x+2
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...
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...