Homework Answers
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Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a...
Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a shaded region are graphed. The horizontal line labeled f(x) = 25 crosses the y-axisat y = 25. The curve g(x) = x2 enters the window in the second quadrant, goes down and right becoming less steep, changes direction at the origin, goes up and right becoming more steep, passes through (5, 25) crossing the horizontal line, and exits the window in the first quadrant....
Sketch the region and find its area. The region bоundеd bу y= 4(х+1), у= 5(х +...
Sketch the region and find its area. The region bоundеd bу y= 4(х+1), у= 5(х + 1), and x=7 Choose the correct graph below. ОА. ОВ. Ос. OD. 361 — АДА Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice (Type exact answers.) OA. O dy
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10...
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10 (a) For the shaded region, find the points of intersection of the curves. (x, y) = ( 0,0 ) (smaller x-value) (x, y) = ( 4,-8 ) (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region.
In the graph to the right, the equation of the parabola is x= region (y-4)2 4...
In the graph to the right, the equation of the parabola is x= region (y-4)2 4 and the equation of the line is y = 7 - x. Find the area of the shaded Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice (Type exact answers.) OA SO dy OB. So dx The area of the shaded...
(y-2)2 In the graph to the right, the equation of the parabola is x= 2 and...
(y-2)2 In the graph to the right, the equation of the parabola is x= 2 and the equation of the line is y = 6-x. Find the area of the shaded region. Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice. (Type exact answers.) OA. sody OB. SO dx The area of the shaded region is (Type...
Consider the following. y = x2 y = 6 - X 10 8 6 y 4...
Consider the following. y = x2 y = 6 - X 10 8 6 y 4 2 -2 2 4. (a) Find the area of the region by integrating with respect to x. (b) Find the area of the region by integrating with respect to y.
6. Consider the following constrained maximization problem: 2 5 tu (х, у) x7y7 max х,у s.t...
6. Consider the following constrained maximization problem: 2 5 tu (х, у) x7y7 max х,у s.t Рxх + pуy < м 3, py = 4, M = 12. Answer the following questions with px a. Write down the Lagrangian function b. Derive the first order conditions c. Derive the optimality condition from those conditions d. Write the other optimality condition (since there should be two in order for us to solve for two unknowns) e. Find the optimal values for...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabul...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
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...
B Consider the shaded region bounded by y=x2 – 4 and y= 3x + 6 (see...
B Consider the shaded region bounded by y=x2 – 4 and y= 3x + 6 (see above). Note that the r-axis and y-axis are not drawn to the same scale. (a) Find the coordinates of the points A, B, and C. Remember to show all work. (b) Set up but do not evaluate an integral (or integrals) in terms of r that represent(s) the area of the region. That is, your final answer should be a definite integral (or integrals)....
Sketch the region and find its area. The region bоundеd bу y= 4(х+1), у= 5(х + 1), and x=7 Choose the correct graph below. ОА. ОВ. Ос. OD. 361 — АДА Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice (Type exact answers.) OA. O dy
Consider the figure below. f(x) = 2x – x2 g(x) = x2 - 6x 81x) -10 (a) For the shaded region, find the points of intersection of the curves. (x, y) = ( 0,0 ) (smaller x-value) (x, y) = ( 4,-8 ) (larger x-value) (b) Form the integral that represents the area of the shaded region. dx (c) Find the area of the shaded region.
In the graph to the right, the equation of the parabola is x= region (y-4)2 4 and the equation of the line is y = 7 - x. Find the area of the shaded Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice (Type exact answers.) OA SO dy OB. So dx The area of the shaded...
(y-2)2 In the graph to the right, the equation of the parabola is x= 2 and the equation of the line is y = 6-x. Find the area of the shaded region. Set up the integral that will give the area of the region. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes to complete your choice. (Type exact answers.) OA. sody OB. SO dx The area of the shaded region is (Type...
Consider the following. y = x2 y = 6 - X 10 8 6 y 4 2 -2 2 4. (a) Find the area of the region by integrating with respect to x. (b) Find the area of the region by integrating with respect to y.
6. Consider the following constrained maximization problem: 2 5 tu (х, у) x7y7 max х,у s.t Рxх + pуy < м 3, py = 4, M = 12. Answer the following questions with px a. Write down the Lagrangian function b. Derive the first order conditions c. Derive the optimality condition from those conditions d. Write the other optimality condition (since there should be two in order for us to solve for two unknowns) e. Find the optimal values for...
Consider the following initial value problem у(0) — 0. у%3D х+ у, (i) Solve the differential equation above in tabular form with h= 0.2 to approximate the solution at x=1 by using Euler's method. Give your answer accurate to 4 decimal places. Given the exact solution of the differential equation above is y= e-x-1. Calculate (ii) all the error and percentage of relative error between the exact and the approximate y values for each of values in (i) 0.2 0.4...
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...
B Consider the shaded region bounded by y=x2 – 4 and y= 3x + 6 (see above). Note that the r-axis and y-axis are not drawn to the same scale. (a) Find the coordinates of the points A, B, and C. Remember to show all work. (b) Set up but do not evaluate an integral (or integrals) in terms of r that represent(s) the area of the region. That is, your final answer should be a definite integral (or integrals)....
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