show work I got the following answer but it is incorrect. π π 3 sin φ...
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.)
(10 marks) In class we had a question regarding the spherical coordinate system: Given that rcos θ sin φ y-rsin0 sin o with 0 θ 2π and 0 φ π "Why don't we have 0 θ π and 0 φ 2π instead" (a) (5 marks) Explain why this would not work b) (5 marks) If you really wanted the bounds suggested how could you make it work? (10 marks) In class we had a question regarding the spherical coordinate system:...
Please solve this. (calc3) Evaluate the following integral in spherical coordinates. This integral calculates the volume of the figure to the right, which is not drawn to scale. 2x 3 sec sin op dp dp do 0 0 0 2x 3 sec p2 sin op dp dep do= 0 0 0 (Type an exact answer, using a as needed)
Consider the integral I » π 0 » π 2 π 4 » ? 2 csc φ ρ 4 sin φ dρ dφ dθ. (a) Sketch the region of integration E. (b) Rewrite I as an iterated integral in cylindrical coordinates. pari pvz Consider the integral I = pf sin o dp do do. Jo J. Jesco (a) Sketch the region of integration E. (b) Rewrite I as an iterated integral in cylindrical coordinates.
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
Write the complex number in trigonometric form (cos 0 + i sin ), with in the interval [0°,360°). - 8 -8= = cos ]° + i sin º) (Type the value for r as an exact answer, using radicals as needed. Type the value for as an integer or decimal rounded to the nearest tenth as needed.)
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
Find all the complex roots. Leave your answer in polar form with the argument in degrees. The complex fifth roots of 3. 20 = (cosº + i sin º) (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angle measures in degrees.) 21 = (cosº + i sin º) (Simplify your answer, including any radicals. Type an exact answer, using radicals as needed. Type any angle measures in degrees.) 22=O)(cosº + i sin...
X 15.7.71 π 3 2x and = Find the volume of the portion of the solid sphere p s8 that lies between the cones º = 3 The volume is (Type an exact answer, using a and radicals as needed.)
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems will get an immediate thumbs down because they did not follow directions, thank you 1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...