Someone please show how to compute the integral of b over the given region. The answer is in blue but I am not sure how to get there.
Someone please show how to compute the integral of b over the given region. The answer...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
Sketch the region and use a double integral to find the area of the region inside both the cardioid r=1+sin(theta) and r=1+cos(theta). I have worked through the problem twice and keep getting (3pi/4 - sqrt(2)). Can someone please explain how you arrive at, what they say, is the correct answer? Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the region R (label lines, intercepts, axes and shade region) (b) SET UP the integral over this region (c) Assuming f(x.y)- xa is the density function for the lamina R given above, determine the mass for R 5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the...
Sketch the region enclosed by the curves and compute its area as an integral along the x- or y- axis. Sketch the region enclosed by the curves and compute its area as an integral along the e- or y-axis. (a) 1 = \y, r = 1 - \yl. (b) 1 = 2y, 2 + 1 = (y - 1)2 21 c) y = cos.r, y = cos 2.c, I=0,2 = 3
Use a double integral to compute the area of the region bounded by y= 8 + 8 sin x and y=8-8 sin x on the interval [0, n]. Make a sketch of the region. Choose the correct sketch of the region below. O A. B. OC. D. лу AY Ay 16- 16- 16- 8- -16 -84 The area of the region is (Simplify your answer.)
Explain how to compute the surface integral of scalar-valued function f over a sphere using an explicit description of the sphere. Choose the correct answer below. 2 h O A. Compute f(a cos u,a sin u,v)a sin u dv du 0 0 2Tt h O B. Compute f(a cos u,a sin u,v) dv du. 0 0 2 O C. Compute f(a sin u cos v,a sin u sin v,a cos u) dv du. 0 0 2 S. O D. Compute...
questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it is necessary 2pts) -am b) Set up an integral to compute the area of the shaded region (do not evaluate the integral yet) 4pts questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it...
Hi, can someone help why for Part (a) the integral does not represent and how the expression could be fixed? Also help with b too please. Thanks (a) (3 marks) Explain in your own words why the integral below does NOT represent the area of the region bounded by the curves y = sin z, y = cos .r, x = 0, and I = . How might you fix the expression? cos.r - sinc dc (b) (3 marks). Find...
Thanks In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: 0 f(x, y)dy dr f (r, y)dy d f(x, y) dA -2 2 TJ= Sketch the region and express the double integral integration as an iterated integral with reversed order of
1. 14 points] For the integral below you are to (a) sketch and shade the domain/region over which you are integrating in the zy-plane, (b) rewrite the integral with the order of integration reversed; and (c) evaluate the integral in whichever version/order of integration is easiest. P sure to show all of your steps sin(a)V1 +sin() dr dy Jo Jo 1. 14 points] For the integral below you are to (a) sketch and shade the domain/region over which you are...