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4. Use Matlab to approximate the following integral employing five rectangles, as shown in...
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...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
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...
Consider the figures below. (1) (2) (a) Use the rectangles in each graph to approximate the...
Consider the figures below. (1) (2) (a) Use the rectangles in each graph to approximate the area of the region bounded by y WXY0, x 1, and x S. (Round your answers 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 O Continually decrease the height of all rectangles Continually increase the number of rectangles O Continually increase the height of all rectangles. O...
Use n = 4 to approximate the value of the integral by the following methods: (a)...
Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Find the exact value by integration. 1 - x 3x e dx 0 (a) Use the trapezoidal rule to approximate the integral. 1 Joxe -x² dx~ 0 (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
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...
Consider the following. (a) By reading values from the given graph of f, use five rectangles...
Consider the following. (a) By reading values from the given graph of f, use five rectangles to find a lower estimate for the area under the given graph off from x = 0 to x = 10. (Round your answer to one decimal place.) 10 Sketch the rectangles that our USA By reading values from the given graph of f, use five rectangles to find an upper estimate for the area under the given graph of Ffrom x = 0...
The integral integral_3^9 x^2 dx can be calculated approximately by the left sum method (finding the...
The integral integral_3^9 x^2 dx can be calculated approximately by the left sum method (finding the area of multiple rectangles whose top left corners lie on the curve). Figure 1 shows such an approximation with 4 rectangles. Write a MATLAB function to calculate the truncation error caused by the left sum method for integral_3^9 x^2 dx. Your function should meet the following requirements: It should be named NumericalInt It should have the number of rectangles as the sole input argument....
Use the Midpoint Rule with n=4 to approximate the following integral, where x is measured in...
Use the Midpoint Rule with n=4 to approximate the following integral, where x is measured in radians. So sin(x) dx You must show all steps of your work. Please express all intermediate steps to six decimal places or more, and then round your final answer to 4 decimal places. (Do not round off to four decimal places until you get to your final answer.) CAUTION: Make sure that your calculator is in RADIANS mode! 17.4286 17.2183 16.7873 16.7629 15.9287
2. Use the Trapezoid rule with n = 4 subintervals to approximate the integral (i.e approximate...
2. Use the Trapezoid rule with n = 4 subintervals to approximate the integral (i.e approximate In 3). Round your answer to 4 decimal places (or give a simplified fraction). An answer without work will not receive credit; you must write out the expression you put into a calculator. 3. In 1311.098012389 dr -- inixl1,° - inixll,
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...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
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...
Consider the figures below. (1) (2) (a) Use the rectangles in each graph to approximate the area of the region bounded by y WXY0, x 1, and x S. (Round your answers 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 O Continually decrease the height of all rectangles Continually increase the number of rectangles O Continually increase the height of all rectangles. O...
Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Find the exact value by integration. 1 - x 3x e dx 0 (a) Use the trapezoidal rule to approximate the integral. 1 Joxe -x² dx~ 0 (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
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...
Consider the following. (a) By reading values from the given graph of f, use five rectangles to find a lower estimate for the area under the given graph off from x = 0 to x = 10. (Round your answer to one decimal place.) 10 Sketch the rectangles that our USA By reading values from the given graph of f, use five rectangles to find an upper estimate for the area under the given graph of Ffrom x = 0...
The integral integral_3^9 x^2 dx can be calculated approximately by the left sum method (finding the area of multiple rectangles whose top left corners lie on the curve). Figure 1 shows such an approximation with 4 rectangles. Write a MATLAB function to calculate the truncation error caused by the left sum method for integral_3^9 x^2 dx. Your function should meet the following requirements: It should be named NumericalInt It should have the number of rectangles as the sole input argument....
Use the Midpoint Rule with n=4 to approximate the following integral, where x is measured in radians. So sin(x) dx You must show all steps of your work. Please express all intermediate steps to six decimal places or more, and then round your final answer to 4 decimal places. (Do not round off to four decimal places until you get to your final answer.) CAUTION: Make sure that your calculator is in RADIANS mode! 17.4286 17.2183 16.7873 16.7629 15.9287
2. Use the Trapezoid rule with n = 4 subintervals to approximate the integral (i.e approximate In 3). Round your answer to 4 decimal places (or give a simplified fraction). An answer without work will not receive credit; you must write out the expression you put into a calculator. 3. In 1311.098012389 dr -- inixl1,° - inixll,
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