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3. 0/1 points Previous Answers Which of the following iterated integrals can be used to find...
16. Question Details LarCalc11 14.6.017. (3865000) Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid that is the common interior below the sphere x2 + y2 + 2+ = 80 and above the paraboloid z = {(x2 + y2) dz dy dx L J1/2012 + y2 Super 17. LarCalc11 14.7.004. (3864386] Question Details Evaluate the triple iterated integral. 6**6*6*2 2/4 2 2r rz dz dr de Jo lo 18. Question Details...
and inside the The volume of the solid in-between the half-cones 2= 13.x2 + 3y2 and z= sphere x2 + y2 + x2 = 9 can be given by the integral BDF sin(o) dp do do, with JA JC JE A = [ Select ] B = [Select ] C = [Select ] D = [ Select ] E = [Select ] F = [ Select ] Let f be a continuous function defined on all of R3. Which of...
Let S be the solid described by the following inequalities: x < 51 – x, 0 < x <y?, and x < y2 < 1. Which of the following represents the volume of S? SL * S dydz do * |* du dydz LL Saz de dy LL. * S dydzde ISL" dedud: S LS du dydz 5 10 1'" dede dy JOJ Let S be the solid bounded by the surfaces z = Vx2 + y2 and z= V1...
2. [5 points) Which of the following integrals represent the volume of the solid obtained by rotating the area enclosed by y = 1, y = 0, x = 1, x = 3 around the line y = -1. (A) = " (-1) de (D) * L6 + + 1) dy (0) * L%C5 +3) ay (Dia °C +) do
Evaluate the following integrals. Please check the function to be integrated and the order of integration carefully! [6 points each] grals. Please check the function to be integrated and the order of a.) 5° L. (204 – 3) dy do b.) 1/3 2/6 sin(x + y) dx dy Jo Jo ) DA R: 1 < x < 3; 1 <y <4 JR
solutions are labeled a to c at the bottom. can you explain what the r stands for. I'm assuming x2 + y2 Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
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...
QUESTION 4 pſ3 p√3-8² √4-x² - y² Which of the following integrals is/are equivalent to soos LV***** 1 dzdy dx? rdz dr de 31 '5" 6" Secop sing dp døde IL/*** 6" 6" Sp?sino dpdo de $"p?sing dp do de 1/3 2 sec TV3 rdz dr de 1 %*%**%*-: 6" Solo branco r dz dr de
2) (27 points) Let D be the region bounded from below by the plane : 0, from above by the plane z-2J3 and laterally by the hyperboloid of one sheet x2 + y2-1-24. a) (3 points) Draw the region D. b) (12 points) Set up triple integrals representing the volume of D in spherical coordinates according to the order of integration dp do de c) (12 points) Set up triple integrals representing the volume of D in cylindrical coordinates according...
Which of the following integrals represents the volume of the solid generated by rotating t enclosed by the curves y2 = x and y = { x about the x-axis? O 0 [ +(3^ – 4yº) dy $*r(4y? – y") dy L'=(-- ***) dva 1+(2-2) de Srdy o