http://imgur.com/jiyFYCi
http://imgur.com/jiyFYCi
The integral with bounds C (xyzi+y4j+(2y+z8)k) dot dr, where C is the intersection of the unit cube and the plane z=x/10+y/20+1/30; Specific which method you used.
Evaluate the following integral using any Vector Calculus method The integral with bounds C; [(4+eyz)i+(xzeyz+2yz)j+(6z2+xyeyz+y2)k] dot dr, where C is the part of...
Find the absolute maxima and minima of the function on the given domain. Given: T(x,y) = (x^2)+xy+(y^2)-12x+2 on the rectangular plate 0≤x≤9, -5≤y≤0 Thanks!
I am taking an online math class and there was a question I got wrong but I believe I was correct on it. Open the link to see the question. Its on Calculus 3. http://s8.postimg.org/93wm0sxpx/untled...
The following is a homework problem I have: http://i.imgur.com/eE0GuP9.png I'm not really sure how to go about this. What is the logic/steps I have to use to get to the final answer...
A wrench 0.5 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of ?0,1,4? at the end of the wrench. Find the magnitude of the force in...
Find the scalar and vector projection of the vector b=<1,0,−1> onto the vector a=<−4,2,4>. Scalar projection (i.e., component): Vector projection < , , >
Find a vector orthogonal to both ?5,5,0? and to ?0,5,−1? of the form <1, , >
When finding delta, use the absolute value of x-2 is less than 2 so that delta=min{2,__} This is what I've done so far: f(x)=1/x L=1/2 a=2 Find...
Convert the integral ∫(-1 < x < 1) ∫(0 < y< sqrt(1-x2) ∫(( -sqrt(1-x2-y2) < z < 0) z2(x2+y2+z2)^(1/2) dzdydx into...
Find the domain, the range, and describe the level curves for the function f(x,y) = 1 - e^(-4x2 -9y2) I figure out that the domain is all real numbers The...
A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute. When...
Consider the transformation x=vcos(2piu), y=vsin(2piu) a)Describe the image S under T of the unit square R={(u,v,)|0<u<1,0<v<1} b)Find the area of S
Consider a simple, smooth (so that it has a well-defined tangent vector at every point), closed planar curve of total length L. Prove that the total integral of curvature with respect to arclength...
Determining whether the Function is harmonic ? f(x,y) = 1/(x2+y2) - What I learned from class was that if fxx + fyy = 0 then the function is...
r(t)=< e5t cos(12t), e5tsin(12t), e5t > 1. Show that (5cos12t - 12sin12t)2 + (5sin12t + 12cos12t)2 = 132 2. Find the equation of the surface the curve...
r(t) = < e5tcos(12t), e5tsin(12t), e5t > 1. Find the unit binomial vector B(t) 2. Find the curvature k(t) 3. Find the torsion 4...
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is...
A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the...