Please show all workings and steps for question 3:
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Please show all workings and steps for question 3: 2 3. Determine the area of the...
Please show all workings and steps for question 4:
4. Determine the area of the region bounded by x = y2 – 2y and y = x + 2.
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1Find the area of the region bounded by the curves y 2x2 - 8x + 12 and y=-2 + 12. Find the volume when the area in question/qis revolved around the 3-axis. Find the volume when the area in question/grevolved around the y-axis. Va is revolved around the Ib Find the volume of the region formed when the area enclosed by y = x3 and y 2-axis. Consider only positive values of x. Find the volume...
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6. Find the area of the region bounded between the curves y = -x² + 4x + 7 and y = x² - 9
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Finding Area by the Limit Definition In Exercises 47–56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = - 4x + 5, [0, 1] 48. y = 3x - 2. [2,5] 49. y = x2 + 2, [0, 1] 50. y = 5x + 1, [0, 2] 51. y...
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1. Evaluate the indefinite integral. 3 - a) [(5x2 – 2x) +6x*) dx х b) \ x2 -dx 4x3 + 1 dx 1 + (ex)2
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(5 pts) Find the area of the region bounded by the graphs of y + 2 and y = [ +1,0 < x < 2. 2 Sketch the region.
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Evaluate the definite integral TT 2 a) 4 + 5 sina x dx sin2 x 4 e b) 6 Vin x dx х 1 ܢܕ c) | x2v2x – 1dx HIN
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Question 1) (3 marks) Sketch the region of integration on the x- y plane and find the volume of the region R in the first quadrant, bounded between followings: From above by Vy? +1 and from below by the lines: x = 0, y = 1, y = Vx.
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7. Set up (do not solve) a definite integral that would give the area of the region under the graph of y = In x, above the x-axis, between the vertical lines x = 1 and x = e. Sketch the graph. You don't need to express with the Riemann sum definition...
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1. Find the area of the region bounded by the graphs of the given functions on the intervals indicated. a. y = x2 + 2, y = x, (2,5) b. y = (2x +1, y = 3x + 2, [0,2] C. y = ex-1, y = x,[1,4]