Calc

Use spherical coordinates.
Evaluate
Triple integral SSSE
where E lies between the spheres
x^2 + y^2 + z^2 = 25
and
x^2 + y^2 + z^2 = 49
in the first octant.

  1. 👍
  2. 👎
  3. 👁
  1. the two spheres are r=5 and r=7

    recall that the volume element is

    dv = r^2 sinθ dr dθ dØ

    this is easy to check your answer, since you can just directly subtract the inner volume from the outer one.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus integrals

    Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) integral x^5/x^6-5 dx, u = x6 − 5 I got the answer 1/6ln(x^6-5)+C but it was

  2. Calculus

    Please help! ASAP 1. If the integral from 1 to 6 of f of x, dx equals negative 10 and the integral from 3 to 6 of f of x, dx equals negative 8, then what is the value of integral from 1 to 3 of f of x, dx? A. 2 B. -2 C. -18 D. 12

  3. calculus

    1.Evaluate the integral. (Use C for the constant of integration.) integral ln(sqrtx)dx 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y =

  4. Calculus

    Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3

  1. geometry

    Circle O is defined by the equation x2 + (y - 2)2 = 25. Plot the center of Circle O and type in the coordinates of one point with integral values that lies on Circle O.

  2. Calc III

    Express the volume of the solid that the cylinder r = 4cos(theta) cuts out of the sphere of radius 4 centered at the origin with a triple integral in cylindrical coordinates. I have already found the intervals, but I cannot solve

  3. Calculus 3: Spherical Coordinates

    Use spherical coordinates to calculate the triple integral of f(x, y, z)=y over the region x^2+y^2+z^2≤8, x, y, z ≤ 0.

  4. math

    Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6

  1. Calculus

    1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3 - 6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3 - 6x)dx).(Your answer must include the

  2. Calculus

    Evaluate the triple integral ∫∫∫_E (x)dV where E is the solid bounded by the paraboloid x=10y^2+10z^2 and x=10

  3. Calc

    Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j +

  4. Physics-Gauss' Law, hard

    Thank you Damon for answering my first questions fast and accurately. Do you or anybody else know how to do these harder Gauss' Law Problems? 1. A solid metal sphere of radius R has charge +2Q. A hollow spherical shell of radius

You can view more similar questions or ask a new question.