Solve the differential equation dy/dx = √(x3y) with initial conditions x = 1, y = 2

Solve the differential equation dy/dx = √(x3y) with initial conditions x = 1, y = 2

1) Area bounded by y = 3x-1, the y-axis, and the lines y = 2, y = 5 ∫25 (y+1) / (3) dy = 4.5 units2 2) Area between y = x3-6x2+8x and the x-axis |∫20 (x3-6x2+8x)...

A particle with an initial velocity of -6 has its acceleration defined by a(t) = 2t+1. t is in seconds. find: a) its velocity equation b) the total distance traveled by...

1) Volume created when the area bounded by the x-axis, the y-axis, and the line y = -3x+5 is rotated about: a) the y-axis b) the line y = 6 2) Volume created when the area...

I think I know how to do it, but I am getting a radius of 1, but my solution says the radius is 3

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.

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

I got that the volume was 35.1

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?

∫∫∫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??

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

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 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

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