194 Answered Questions for the topic Calculus 3

Calculus 3

09/19/15

Find the scalar and vector projection of the vector
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 < , , >
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Calculus 3

09/19/15

Find a vector orthogonal to both <5,5,0> and to <0,5,-1> of the form
Find a vector orthogonal to both ?5,5,0? and to ?0,5,−1? of the form <1, , >
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Calculus 3

09/19/15

A wrench 0.5 meters long lies along the positive y-axis, and grips a bolt at the origin.
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... more
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Calculus 3

07/09/15

Converting to Spherical coordinates and Solving the Triple Intergral
  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 an equivalent integral in spherical coordinates... more
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07/07/15

What is The actual speed (along the road) of the red car for the measurement feet per second?
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 police... more
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07/07/15

What is The rate of change of the area enclosed between the circle and the square
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 the radius is 5... more
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07/07/15

Find the rate at which the water level is rising when the water level is 2 cm
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... more
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Calculus 3 Harmonic Functions

06/24/15

Determining whether the Function is harmonic ?
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 harmonic.    My attempt was... more
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Calculus 3

06/23/15

Limits multivariable Problem?????
I am not really sure how to solve this problem...   Evaluate the Limit:   Limit  (x,y,z) ----> (0,0,0)            (x2+y2+z2)/(x2-y2-z2)    
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Calculus 3

06/23/15

Find the domain, the range, and describe the level curves for the function???
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 level curve I believe  is... more
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04/23/15

Calc 3 question? Consider the transformation x=vcos(2piu), y=vsin(2piu)
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
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04/09/15

Using the delta-epsilon method, prove that the limit as x approaches 2 of 1/x is equal to 1/2.
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 delta: absolute value of... more
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03/29/15

Moment of inertia question
The boundary of a thin plate is an ellipse with semiaxes a and b.Let L denote a line in the plane of the plate passing through the center of the ellipse and making an angle k with the axis of... more
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Calculus 3

12/14/14

Find the volume enclosed by the surface (x^2+y^2+z^2)^2 = 2z(x^2+y^2). step by step solution would be much appreciated! :)
Find the volume enclosed by the surface (x^2+y^2+z^2)^2 = 2z(x^2+y^2). step by step solution would be much appreciated! :)
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Calculus 3

11/22/14

Which point on the surface 1/x + 1/y + 1/z = 1 xyz > 0 is closest to the origin?
Please show work so that I can follow along
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10/30/14

f '' (t) +f (t) = tan(2t)
How can i get this?
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Calculus 3 Calculus Geometry

09/06/14

how did we get V= pih^3 ???
it's a very long question so i took a screenshot of it here    http://s4.postimg.org/qyasoc7p9/image.jpg   i checked the marks scheme and i don't understand how do we get V=πh3 from V=1/3πr2h... more
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Calculus 3

08/26/14

integrate (x+3)/(4-x)^5
∫(x+3)/(4-x)5
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Calculus 3 Math Calculus Math Help

07/07/14

prove that three collinear points can determine a plane.
prove that three collinear points can determine a plane.
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