1. Find
, where s is
,
.
2. Find
, and
, lying inside
and underneath
3. Find ,
where
in cylinder, and between y=0 and y=1 in the first octant.
1. Find , where s is , . 2. Find , and , lying inside and underneath 3. Find , where in ...
Find the image of the set S under the following
transformations.
1) S= {(u,v)
R2 | 0
u
3, 0
u
2 }, x=2u+3v and y=u-v
2) S= [0,1] x [0,1], x=v and y=u(1+v2)
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(z2 + y*) dV where D is the region inside the cone z- V z2 +アbelow the plane z = 3, and inside the first ai 1- octant z 2 0,y 2 0,z2 0
(z2 + y*) dV where D is the region inside the cone z- V z2 +アbelow the plane z = 3, and inside the first ai 1- octant z 2 0,y 2 0,z2 0
Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π
Evaluate 1 dS where s is the surface z = 3 inside the cylinder x2 + y2-1. B.π C. 3/2 D. 2T E. 3π
Evaluate the flux F across the positively oriented surface
S
where
and S is the boundary of
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3. Let ,..., be
independent random sample from N(),
where is unknown.
(i) Find a sufficient statistic of .
(ii) Find the MLE of .
(iii) Find a pivotal quantity and use it to construct a
100(1–)% confidence
interval for .
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consider the variation of constants formula where P(t)= a) show that solves the initial value problem x'+p(t)=(t) x()= when p and q are continuous functions of t on an interval I and tg p(s)ds We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image tg p(s)ds
Could you do number 4 please. Thanks
1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Use polar coordinates to find the volume of the given solid. Inside the sphere and outside the cylinder = 25 We were unable to transcribe this image = 25
a. Find the center of mass for lamina defined by the interior of
the polar curve r=sin(3) with a density
that varies according to p(r,theta)=1/r
b. Find the volume of the cylinder inside the sphere
For part a I got a mass of 2 but not sure about the x bar and y
bar calculations.
For part b Im stuck on the z bounds for the integral when doing
the problem with the cylindrical coordinate method.
We were unable to...
Calculate ,
where C is the curve below :
and the area inside C is A (unknown).
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F* (22.3 + 2.ru2-20,)ịt (20/3 + 2.r2 ч + 2.r)j