Homework Answers
1st we need to draw curves and find there point of intersection . To find area we have to integrate the function generated by using upper curve - lower curve . Lower limit of integral will be value of x at left end point of the interval and upper limit will be value of x at right end of integral .
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2. (a) Find the area of the region bounded by the parabolas y 6z - 2 and y 22 (b) (Optional) Find...
(i) Find the area of the region bounded by the curves x = y 5y+6 and...
(i) Find the area of the region bounded by the curves x = y
5y+6 and x =-y +y+6
Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections pe...
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections perpendicular to the y-axis are semicircles.
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections...
1. Find the mass and centroid of the region bounded by the = y2 with p...
1. Find the mass and centroid of the region bounded by the = y2 with p (a, y) parabolas y x2 and x 2. Set up the iterated (double) integral(s) needed to calculate the surface area of the portion of z 4 2 that is above the region {(«, у) | 2, x < y4} R 2 Perform the first integration in order to reduce the double integral into a single integral. Use a calculator to numerically evaluate the single...
Consider the region bounded by the graphs of y # ax', y abn, :0.(b>1. See Figure.) and x (a) Find the ratio...
Consider the region bounded by the graphs of y # ax', y abn, :0.(b>1. See Figure.) and x (a) Find the ratio R(n) of the area of the region to the area of the circumscribed rectangle R1(n)-| n + 1 (b) Find the limit shown below. lim Ri(n) Find the limit of the area of the circumscribed rectangle as n approaches in (e) Find the volume of the solid of revolution formed by revolving the region about the yraxis. rab2...
296. Area under a curve. The area of the region bounded by the curve y =...
296. Area under a curve. The area of the region bounded by the curve y = (-2<x< 2), the x-axis, V4 - x4 V4- and the lines x = a and x = b(a < b) is given by sin - €) - sin-"). a. Find the exact area if a 1 and 1 b. Find the exact area if a = -V3 and 5 = vā.
[4] Sketch the region bounded above the curve of y = x2 - 6, below y...
[4] Sketch the region bounded above the curve of y = x2 - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integral ans evaluate the integral. -4 -3 -2 -1 0 1 2 3 4 [5] Find the area of the region bounded by the given curves x - 2y + 7 = 0 and y2 -6y - x = 0.
Home Work Task 1 Total M Determine the area of the region enclosed by the two...
Home Work Task 1 Total M Determine the area of the region enclosed by the two curves y = sin2x and y = cosx by sketching the curves in (-1,1]. Find the area enclosed by, 1x + y - 11 + 12x + y - 11 = 1 By sketching the graph. 3 Sketch the graphs for the parabolas whose equations are, y = -x2 + 5x + 9 and y = x² + 3x + 5 Find the area...
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
Find the area of the region bounded by the graphs of the equations. y = 8x2...
Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4, x = 0, x = 2, y = 0 Evaluate the definite integral by the limit definition. 7 x dx -6 X Evaluate the definite integral. Use a graphing utility to verify your result. (t1/ dt
Find the area of the region bounded by y = 8 – 22 and y =...
Find the area of the region bounded by y = 8 – 22 and y = x2 from x = -3 and x = 3. Note: Set up the needed integrals only. Do not compute.)
(i) Find the area of the region bounded by the curves x = y
5y+6 and x =-y +y+6
Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections perpendicular to the y-axis are semicircles.
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections...
1. Find the mass and centroid of the region bounded by the = y2 with p (a, y) parabolas y x2 and x 2. Set up the iterated (double) integral(s) needed to calculate the surface area of the portion of z 4 2 that is above the region {(«, у) | 2, x < y4} R 2 Perform the first integration in order to reduce the double integral into a single integral. Use a calculator to numerically evaluate the single...
Consider the region bounded by the graphs of y # ax', y abn, :0.(b>1. See Figure.) and x (a) Find the ratio R(n) of the area of the region to the area of the circumscribed rectangle R1(n)-| n + 1 (b) Find the limit shown below. lim Ri(n) Find the limit of the area of the circumscribed rectangle as n approaches in (e) Find the volume of the solid of revolution formed by revolving the region about the yraxis. rab2...
296. Area under a curve. The area of the region bounded by the curve y = (-2<x< 2), the x-axis, V4 - x4 V4- and the lines x = a and x = b(a < b) is given by sin - €) - sin-"). a. Find the exact area if a 1 and 1 b. Find the exact area if a = -V3 and 5 = vā.
[4] Sketch the region bounded above the curve of y = x2 - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integral ans evaluate the integral. -4 -3 -2 -1 0 1 2 3 4 [5] Find the area of the region bounded by the given curves x - 2y + 7 = 0 and y2 -6y - x = 0.
Home Work Task 1 Total M Determine the area of the region enclosed by the two curves y = sin2x and y = cosx by sketching the curves in (-1,1]. Find the area enclosed by, 1x + y - 11 + 12x + y - 11 = 1 By sketching the graph. 3 Sketch the graphs for the parabolas whose equations are, y = -x2 + 5x + 9 and y = x² + 3x + 5 Find the area...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4, x = 0, x = 2, y = 0 Evaluate the definite integral by the limit definition. 7 x dx -6 X Evaluate the definite integral. Use a graphing utility to verify your result. (t1/ dt
Find the area of the region bounded by y = 8 – 22 and y = x2 from x = -3 and x = 3. Note: Set up the needed integrals only. Do not compute.)
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