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Evaluate the spherical coordinate integral. 1/ 27/ 37 sec 10) 4 sin2 pcos y de dode...
show work Evaluate the spherical coordinate integral. 211 11- cos o p?sin φαρ αφ de 21 1 1- cos o SS S p?sin & dp dø do = 0 g 0 0 0
2x 3 sin Evaluate the spherical coordinate integral p sin dp dop de. 0 0 0 The value is (Type an exact answer, using n as needed.)
2. (a) Sketch the region of integration and evaluate the double integral: T/4 pcos y rsin y dxdy Jo (b) Consider the line integral 1 = ((3y2 + 2mº cos x){ + (6xy – 31sin y)ī) · dr where C is the curve connecting the points (-1/2, 7) and (T1, 7/2) in the cy-plane. i. Show that this line integral is independent of the path. ii. Find the potential function (2, y) and use this to find the value of...
Evaluate the following integral using integration by parts. [ 190 sec?o de Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. O A. 190 tan 0- o-f(19 tan 6) de OB. 19 sec 0 - (190 tan e) do - ſicoso) + ſ(19 sec OC. Otan - (cos 0) de OD. 190 cos 0+ (19 sec ) do Evaluate the integral [190 sec pod do =
Evaluate the following integral using integration by parts. [ 190 sec?o de Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. O A. 190 tan 0- o-f(19 tan 6) de OB. 19 sec 0 - (190 tan e) do - ſicoso) + ſ(19 sec OC. Otan - (cos 0) de OD. 190 cos 0+ (19 sec ) do Evaluate the integral [190 sec pod do =
Suppose you have to use spherical coordinates to evaluate the triple integral III z av where D is the solid region that lies inside the cone z = /22 + y2 and inside the sphere 22 + y2 + 2 = 121 D Then the triple ingral in terms of spherical coordinates is given by Select all that apply pcos o dp do de z dV = cos sin o dp do de D z DV = D pocos o...
Evaluate the integral below by changing to spherical coordinates. -y2 100 100 10 -10 -x2-y -y2 100 100- Evaluate the integral below by changing to spherical coordinates. -y2 100 100 10 -10 -x2-y -y2 100 100-
1. Evaluate the de 4. Evaluate the integral: als poo x2 J- Y6 +1 dx
Making a change to spherical coordinates, evaluate the integral Haciendo un cambio a coordenadas esféricas, evalúe la integral 14- S. 4–32-y? 1 dzdady 224 72122 OT/4 OT OT2 O NO ESTÁ LA RESPUESTA
Cosz 1.) Evaluate the integral the Za 4 d de tot