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1. Find the area under the graph of the following function over the given interval. y = 6- x2 [-1,2] 2. Evaluate. S(x2 + x – 4)dx 3. Find the area of the region bounded by the graphs of the given equations. y = x2 – 2x y = 2 - x
Find the volume of the solid obtained by rotating the area under the graph of y=x2(1-x2)1/2 over the interval (0,1) about the y axis.
Find the area under the graph off over the interval [ - 2,3]. x2 + 4 x51 f(x) = { 5X X> 1 The area is (Simplify your answer.)
Find the area under the graph of the function over the interval given 1 y= (1.4) 1.4 OA. 2 1 O B. OC. 4 OD 1
6. Approximate the area under the curve of y = -x2 + 12 over the interval [-2, 2) using 4 left endpoint rectangles.
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X Incorrect. Find the area of the region between y = – x2 + 4x – 3 and the x-axis, 0 < x < 2. Round your answer to three decimal places. 0.667 The figure below shows the standard normal distribution from statistics, which is given by 1 vai V27 Statistics books often contain tables such as the following, which show the area under the curve from 0 to b for various values of b. Area = The...
Find the area under the graph of the function over the interval given. y = eX; [-9,8] A) e17 B) e8-09 C) e8 + 9 D) e8
Find the specified area. The area under the graph off over the interval [-2.4 f(x)= 5. if x < 1, 5x?. if x 21 448 OA. I OB. 120 OC, 330 OD 30
(8) Find the area of under the graph of y=x?, y = x between x = 0 and x =1. (9) Evaluate, (a) using trapezoidal rule, (b) using Simpson's rule: dx n=4 (10) Solve the initial value problem. f "(x) = x2 + x +1; f'(0)=2, f(0) = 3. (11) Solve : (x2+1) + 2xy = x' + x (12) Solve : i - celoy, y(t) =-2 (13) Find partial derivatives up to second order: f(x, y)=(x+xy+y)(x +xy+1) f(x, y)...
Find the area between the graph of the function and the x-axis over the given interval, if possible. 13 f(x) = (x - 1)2 for (-0, 0] O A. 13 OB. 1 O C. - 13 OD. Divergent