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Consider the figures below. (1) (2) (a) Use the rectangles in each graph to approximate the...
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Figure1Figure 2(a) Use the rectangles in each graph to approximate the area of the region bounded by y = sin(x), y = 0, x = 0, and x = π. (Round youranswer to three decimal places.)figure (1)figure (2)(b) Describe how you could continue this process to obtain a more accurate approximation of the area.Continually decrease the height of all rectangles.Continually increase the height of all rectangles. Continually increase the number of rectangles. Continually decrease the number of rectangles.
PLEASE do them all Use the rectangles in the following graph to approximate the area of the region bounded by y c...
PLEASE do them all
Use the rectangles in the following graph to approximate the area of the region bounded by y cos x, y 0, x-. and x 0.8+ 0.6+ 0.4+ 02+ 0.522 1.568 -1.57 -0.524 1.57 0.001 1.045 -1.047 3.1400 1.5700 0.7850 1.1775 2.0933 Use the rectangles in the graph given below to approximate the area of the region bounded by y y 0, x 1 , and x= 4. Round your answer to three decimal places. 7 6...
Use the rectangles to approximate the area of the region. f(x) = -x + 11 [1,...
Use the rectangles to approximate the area of the region. f(x) = -x + 11 [1, 11] y 10 8 6 2 2 4 6 8 10 10 Х Give the exact area obtained using a definite integral. 10 x Need Help? Read it Watch It Talk to a Tutor Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) f(x) = 25 – x2, (-5,5) y 23 20 15 10 -6 2...
g(x) = 2x² + 2, [1, 3], 8 rectangles
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.) g(x) = 2x² + 2, [1, 3], 8 rectangles _______ < Area <_______ Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the...
5) (Read the directions carefully!) For this problem, you will use rectangles to approximate the area...
5) (Read the directions carefully!) For this problem, you will use rectangles to approximate the area between a curve and the x-axis. Approximate the area between the x-axis and the function f(x) = Vx+1 on the interval (1, 3) by partitioning the interval into four equal subintervals, and use the right-endpoint of each subinterval to find the height of the function for that rectangle. You may want to draw these rectangles in this graph. 5 4 3 2 -3 -2...
and the r-axis. 5. Consider the region S bounded by r 1, r = 5, y (a) Use four rectangles and a Riemann sum to appr...
and the r-axis. 5. Consider the region S bounded by r 1, r = 5, y (a) Use four rectangles and a Riemann sum to approximate the area of the region S. Sketch the region S and the rectangles and indicate your rectangles overestimate or underestimate the area of S. (b) Find an expression for the area of the region S as a limit. Do not evaluate the limit.
and the r-axis. 5. Consider the region S bounded by r...
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8)...
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and the cos t-axis on [7T/8,15/ 8] with n 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure) 0.5 27 2 The approximate area of the region is (Round to two decimal places as needed.) N| a.
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of...
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of y = f(x) and between x = 0 and * = 4. Remember to label axes and important points! (b) (4 points) Approximate the area A of the region S using rectangles by dividing (0,4into four equal subintervals and creating rectangles with the right endpoints. Here you will be calculating R4. It may help to draw the rectangles on your graph (c) (2 points)...
+1 4 In each of the following graphs there are six rectangles. The area under the...
+1 4 In each of the following graphs there are six rectangles. The area under the graph of f(x) between the vertical lines x=0, x=2 and the x-axis is also shaded RRRR 051 152 RRRRRR • Approximate the area under the curve by considering a lower bound and an upper bound. Why do you think that more rectangles are being used? • Complete the following tables to organize the information. You can create a table with your GDC to calculate...
PLEASE do them all
Use the rectangles in the following graph to approximate the area of the region bounded by y cos x, y 0, x-. and x 0.8+ 0.6+ 0.4+ 02+ 0.522 1.568 -1.57 -0.524 1.57 0.001 1.045 -1.047 3.1400 1.5700 0.7850 1.1775 2.0933 Use the rectangles in the graph given below to approximate the area of the region bounded by y y 0, x 1 , and x= 4. Round your answer to three decimal places. 7 6...
Use the rectangles to approximate the area of the region. f(x) = -x + 11 [1, 11] y 10 8 6 2 2 4 6 8 10 10 Х Give the exact area obtained using a definite integral. 10 x Need Help? Read it Watch It Talk to a Tutor Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) f(x) = 25 – x2, (-5,5) y 23 20 15 10 -6 2...
5) (Read the directions carefully!) For this problem, you will use rectangles to approximate the area between a curve and the x-axis. Approximate the area between the x-axis and the function f(x) = Vx+1 on the interval (1, 3) by partitioning the interval into four equal subintervals, and use the right-endpoint of each subinterval to find the height of the function for that rectangle. You may want to draw these rectangles in this graph. 5 4 3 2 -3 -2...
and the r-axis. 5. Consider the region S bounded by r 1, r = 5, y (a) Use four rectangles and a Riemann sum to approximate the area of the region S. Sketch the region S and the rectangles and indicate your rectangles overestimate or underestimate the area of S. (b) Find an expression for the area of the region S as a limit. Do not evaluate the limit.
and the r-axis. 5. Consider the region S bounded by r...
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and the cos t-axis on [7T/8,15/ 8] with n 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure) 0.5 27 2 The approximate area of the region is (Round to two decimal places as needed.) N| a.
Approximate the area of the region bounded by the graph of f(t) f(t) cos(t/2-7t / 8) (t/2-7T/8) and...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of y = f(x) and between x = 0 and * = 4. Remember to label axes and important points! (b) (4 points) Approximate the area A of the region S using rectangles by dividing (0,4into four equal subintervals and creating rectangles with the right endpoints. Here you will be calculating R4. It may help to draw the rectangles on your graph (c) (2 points)...
+1 4 In each of the following graphs there are six rectangles. The area under the graph of f(x) between the vertical lines x=0, x=2 and the x-axis is also shaded RRRR 051 152 RRRRRR • Approximate the area under the curve by considering a lower bound and an upper bound. Why do you think that more rectangles are being used? • Complete the following tables to organize the information. You can create a table with your GDC to calculate...
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