i will rate. thanks. [20 pts) Let Q be the solid region Q={ (1,Y,Z): 2Vx2 +...
Hi, I need help solving number 13. Please show all the steps, thank you. :) Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
i need help with all the questions. i will rate. thank you Given that pix.y.z) is the density function at point (x.y.z), the triple integral given by: SSS (x,y,z) AV represents... the volume of the solid region Q. the mass of the solid region Q. the center of mass of the solid region Q. the moment of inertia of the solid region Q. Let R be the region: {(x,y): x2 + y2 59} Then If raa rdA= оо 6TT O...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)
1) a.(20 pts) Set up the integral corresponding to the volume of the solid bounded above by the sphere x2+y2 + z2 16 and below by the cone z2 -3x2 + 3y2 and x 2 0 and y 20. You may want to graph the region. b. (30 pts) Now find the mass of the solid in part a if the density of the solid is proportional to the distance that the z-coordinate is from the origin. Look at pg...
[4] Let Q be the solid region in space below the plane z = 4, outside the cylinder x2 + y2 = 1, and above the paraboloid z = x2 + y2 (see figure). 1 Express the integral =dV as an iterated integral in Ida x² + y² +2² cylindrical coordinates. Do not evaluate the integral.
I don’t understand where I messed up on these Question 6, (20 pts.) Let f(z)-,-1 < pts.) Let f(z)-,-1 <ぴ2, zero elsewhere, be 2, zero a) Find the cdf of x. 3 Y b) Find the moment generating function of x 3-t y+니 c) Let Y 4-X2. Find the pdf of Y Find py = E(Y).
(7 pts.) Let f(x, y, z) = "y and let R be the region {(x, y, z) |2 < x < 4,0 Sy < 3,15 zse}. 2 Evaluate | $180,0,.2) av. R
Please show all steps! Thank you. 5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at each point P(x, y, z) in Q is given by: 8 (x, y, z) 2(z +1) kg find the total mass of Q m3' 5. Let Q be the solid bounded by the plane 1: x + y + z 1 and the coordinate planes. If the density at...
2. Let R be the region R = {(X,Y)|X2 + y2 < 2} and let (X,Y) be a pair of random variables that is distributed uniformly on this region. That is fx,y(x, y) is constant in this region and 0 elsewhere. State the sample space and find the probability that the random variable x2 + y2 is less than 1, P[X2 +Y? < 1].