Please help solve the calculus problem below, thanks a lot. 2. Using polar coordinates, set up...
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane. 4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
Do both questions and show all steps for good rating. Thanks. 7. Set up an iterated double integral to compute the volume of the solid bounded above by r2 y and below by the region R that is a triangle in the ry-plane with vertices (0,0), (0,3) and (5,3). z = (8) Do not evaluate. Exam 2-u ath 260-01 8. Set up a double integral in polar coordinates to find the volume of the solid bounded by zry 2 =...
please write neatly and no script! 8. (10 points) (a) Using rectangular coordinates, set up an iterated integral that represents the volume of the solid bounded by the surfaces z = x2 + y2 +3, z = 0, and x2 + y2 = 1. (b) Evaluate the iterated integral in (a) by converting to polar coordinates.
/ 3. (18 points) Consider the solid bounded above by x2 + y2 +ク= 15 and below by χ =-+ Set up the limits of integration for a triple integral of a function f(x, y, z) over this solid using (a) rectangular, (b) cylindrical, and (c) spherical coordinates. / 3. (18 points) Consider the solid bounded above by x2 + y2 +ク= 15 and below by χ =-+ Set up the limits of integration for a triple integral of a...
hello this is calculus III class I want to help with these questions to answer it Could you help me please with all of them to solve them please thank you QUIZ, TOPIC 12: Triple Integrals in Other Coordinates 1. The value of the triple integral where is the region bounded by the planes 2 = 0 and 2 = 1 + y + 5, and the cylinders r? + y2 = 4 (i.e. r2 = 4) and r2 +...
the next photo is an example to help you solve the first one 166 min. Chapter 14, Section 14.4, Question 007 Express the area of the given surface as an iterated double integral in polar coordinates, and then find the surface area The portion of the surface Xy that is above the sector in the first quadrant bounded by the lines X2 + y?-81. y-0, and the circle 3 Use "pi" or symbol π to enter the . Click here...
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a triple integral, but do NOT evaluate, to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x + 6y + 4z = 12. 1 3. Locate all relative maxima, relative minima, and saddle points of f(x,y) = x2 + 2y2 – x?y.
Problem 1 A curved plastic rod of charge +Q forms a semi-circle of radius R in the x-y plane, as shown below on the left. The charge is distributed uniformly across the rod. dQ +0 +Q Now let's analytically determine the magnitude and direction of the electric field E at the center of the circle using polar coordinates and the charge element dQ shown in the image on the right. write down an expression for the electric field dE at...
solve for (c) ~ (g) especially tricky integration is need to be solved solve for (d) ~(g) (c) is solved 2. Using polar coordinates: (a) Show that the equation of the circle sketched is r 2a cos 0. Hint: Use the right triangle OPGQ (b) By integration, find the area of the distk P(r, e) 2a r < 2a cos θ Find the centroid of the area of the first quadrant (c) half disk. (d) Find the moments of inertia...
Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or spherical coordinates over each solid shown & described below. i.e., Fill in the six limits of integration and the blank at the end. There is nothing to evaluate. (a) The solid is between the top hemisphere of the ball of radius 2 centered at the origin and the inside of the upper half cone z = Vx2 + y2. r?+ y2 + = 4...