44 Answered Questions for the topic Multivariable Calculus
04/13/17
Find a linear function whose graph is the plane that intersects the xy-plane along the line y= x+7 and contains the point (-4,-4,-21).
Find a linear function whose graph is the plane that intersects the xy-plane along the line y= x+7 and contains the point (-4,-4,-21).
Multivariable Calculus
03/03/17
Find the maximum value of f(x,y) = x^2y^7 for x,y ≥ 0 on the unit circle
Find the maximum value of f(x,y) = x2y7 for x,y ≥ 0 on the unit circle
12/28/16
Finding critical points and limits.
Let f(x,y) = 1/(x2 - y)
(a) Determine the critical points of f.(b) Does the limit of the function f at the point (0, 0) exist? Justify your answer
use cylindrical coordinates to evaluate the triple integral that gives the mass the solid
use cylindrical coordinates to evaluate the triple integral that gives the mass the solid lying under the cone z=10-√(x2+y2), and above the xy-plane, if the density p is given by p(x,y,z)=x2+y2+z2....
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11/07/16
The parabolas y=x^2, y=x^2+1, y=(x-2)^2, y=(x-2)^2+1
The parabolas y=x^2, y=x^2+1, y=(x-2)^2, y=(x-2)^2+1 Intersectto form a curvilinear quadrilateral R. The change of variable u=y-x^2, v=y-(x-2)^2 map R onto a square in the uv-plane. Use the...
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10/23/16
Finding Domain and Range of a Multivariable Function
for the following function find the domain D and range T and show that for every c ∈ T there exists x,y such that f(x,y) = c. Sketch the Domain.
The following is my own answer but I am unsure if...
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09/14/16
equation of plane
find equation of a plane that contains the line x=3t y=2+t z=-2t and parallel to the intersection of planes 2x-y=0 and y+z=-1
i dont know what to cross im so confused please help
Multivariable Calculus Calculus 3
08/26/16
find equation of line through the point (1,-1,1) perpendicular to the line 3x=2y=z and parallel to plane x+y-z=0
i have no idea solving the problem :((
Multivariable Calculus Calculus 3
08/25/16
equation of plane that contains point (2,0,3) and line x=-1+t, y=t, z=-4+2t
I tried solving it and I got -x-5y+3z=7 but it seems wrong. Any help please?
Multivariable Calculus
12/01/15
which of the following is divisible by all of the integers from 1 to 10 inclusive? A)23*34 B)34* 45 C) 45*56 D) 56*67 E)67*78
This is a hard question whaich found in UKMT question test online
11/15/15
Evaluate the following integral using any Vector Calculus method
Evaluate the following integral using any Vector Calculus methodThe integral with bounds C; [(4+eyz)i+(xzeyz+2yz)j+(6z2+xyeyz+y2)k] dot dr, where C is the part of a curve on x5+y3z=25 from (1,2,3)...
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Multivariable Calculus
08/13/15
The vector from the point (1,2, -3) to the centre of the sphere x2+y2+z2-kx+3y-lz = 1 is given by < 3, h, -2 > . Then the value of hkl is?
The vector from the point (1,2, -3) to the centre of the sphere x2+y2+z2-kx+3y-lz=1 is given by < 3, h, -2 > . Then the value of hkl is?
Area of a parallelogram using 4 points
I need some help using vectors to find the area of this parallelogram. I use three points to create two vectors with the same initial points and use a 2x2 determinant to compute the cross...
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04/27/15
Suppose S_1={u_1,u_2} and S_2={v_1,v_2} are each independent sets of vectors in an n-dimensional vector space V.
Let us assume that every vector in S_2 is a linear combination of vectors in S_1.Question: Does that mean that S_1 and S_2 are bases for the same subspace of V?I know that the answer to this...
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Multivariable Calculus Calculus 3
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...
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Multivariable Calculus Double Integral
10/16/14
Can The Following Double Integral Be Evaluated or Can It Only Be Approximated Numerically
∫∫ √(4v2 + 4u2 + 1) dvdu, with limits of integration 0≤v≤1 & 0≤u≤2
*Note: the entire expression is supposed to be under the square root symbol
I have tried every integration technique I...
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Multivariable Calculus Differentials
03/04/14
Using differentials to estimate change
A person's BMI is given by I(W,H) = W/H^2, where W is the person's weight in kilograms and H is height in meters. Suppose I am 1.65 meters tall and weigh 54.5 kilograms. After a month, I become...
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