Find the area of the region R bounded by the curve r = 6cos 0

Find the area of the region R bounded by the curve r = 6cos 0

for the limits of integration I got x^2 to 4 and 0 to 2.

I got that the volume was 35.1

∫∫∫w (1-z2) dxdydz ; W is the pyramid with the top vertex at (0,0,1) and base vertices at (0,0,0),(1,0,0),(0,1,0),and (1,1,0). How would I set up the bounds of the integral??

given the function f(x,y)=3x2-2xy+4y2 in which direction does the function drop most rapidly at the point p (1,1) and calculate the derivative of the function in that direction

Find the volume of the region inside the sphere x2+y2+z2=1 and outside the cylinder x2+y2=1/4. How would I set this up using the a triple integral?

Find the volume of the solid bounded by x2+2y2=2, z=0, and x+y+2z=2

Find the volume under the graph of f between the planes x=a,x=b,y=c,y=d. f(x,y)=x3+y2+2 ; a=-1,b=1,c=1,d=3.

Find the maximum of f(x,y)=xy on the constraint curve (x+1)2+y2=1.

Find the arc length of the curve c(t)=(t3/2,cos(2t),sin(2t)), 0<=t<=1.

find the point on the plane 20x+15y+12z = 120 that is closest to the sphere x^2+y^2+z^2=1

Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis. y=2x y=16 4√x

Let z=(x2+y2)sin(2x+y). Show that (0,0 is a critical point. Is it a local max or min?

A parcel delivery service requires that the dimensions of a rectangular box be such that the length plus twice the width plus twice the height be no more than 108 inches (L+2W+2H <= 108)...

Find a) the angle between u and v, b) projv u and c) scalv u. Recall that a ? b = |a||b| cos θ. u=-3i+4k v=-4i+j+5k

Find the limit below. limτ(x→3) (x^4−81)/(x−3)

Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below. x=0 y=0 y=-2+2

The Cosine function is a Taylor series. Expand the series to 4 terms and use the result to approximate Cos (2π). How does the approximation compare to the actual result? What would you need to get...

Calculate the area bounded by two curves below for x > 0. y=3xy=x^2

Find the line integral below. ∫_c^ ¦(x−y+2z)ds where C is the circle r(t)=(1, 3 cost, 3 sin t) for 0≤t<2pi.

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