1. Find the volume of the solid described by the inequality Vz? + y2 <2< 2.
Find the extreme values of 'f' on the region described by the
inequality.
22. f (x, y) = 2x2 + 3y2 – 40 – 5, x2 + y2 < 16
A solid is bounded above by a portion of the hemisphere z= 2 – – 72 . And below by the cone z = 2 + y2 , with a < 0 and y < 0. Part a: Express the volume of the solid as a triple integral involving 2, y and z. Part b: Express the volume of the solid as a triple integral in cylindrical coordinates. Parte: Express the volume of the solid as a triple integral in...
(1 point) Find the volume of the region enclosed by z = 1 – y2 and z = y2 – 1 for 0 < x < 39. V =
Let D be the solid spherical "cap" given by x2 + y2 + z2 < 16 and 2 > 1. Set up, but do not evaluate, a triple integral representing the volume of D in cylindrical coordinates.
Find the volume of the solid enclosed by the paraboloid z = 5x2 + 5y 2 and the planes x = 0, y = 3, y = x, z = 1225 3 Evaluate the double integral. SS 9. y2 - xdA, D = {lar,y) |0<y< 4,0 <r<y} 24 Evaluate the double integral. I, 4xy dA, D is the triangular region with vertices (0,0), (1, 2), and (0,
Solve the inequality 22 +2 - 2 22 - 5.0 + 6 <0
Given z = 2 y2 – 3xy , find the slope of the surface at (1,1,-1) in the direction of ū =< 2,3>
5b) Find the volume of the solid under the surface f(x, y) = 2et'ty and above the semi-circle x + y = 9, y < 0.
Compute the volume SSSx 1 dV where X is the solid defined by x2 + y2 < 4,0 Sz<10., A) 20 B) 407 C) 201 D) 801 ОА ОС OD OB Question 20 What is the absolute value of the Jacobian of : x = uv, y = u2 + v2 at the input point (u, v) = (2, 3)?
Let Yı, Y2, ...,Yn be an iid sample from a population distribution described by the pdf fy(y|0) = (@+ 1) yº, o<y<1 for 0> - -1. (a) Find the MOM estimator of 0. (b) Find the maximum likelihood estimator (MLE) of 0. (c) Find the MLE of the population mean E(Y) = 0 +1 0 + 2 You do not need to prove that the above is true. Just find its MLE.