Questions LLC
Login
or
Sign Up
Ask a New Question
Multivariable Calculus
Page 2
Questions (112)
Use a triple integral to find the volume of the given solid.
The tetrahedron enclosed by the coordinate planes and the plane 8x +
1 answer
asked by
Anon
625 views
Evaluate the following integral using three different orders of integration.
*triple integral E (xz − y3) dV, where E = (x, y,
1 answer
asked by
Anon
601 views
Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ.
D is the
2 answers
asked by
Anon
577 views
Find the volume of the given solid.
Enclosed by the paraboloid z = 6x2 + 2y2 and the planes x = 0, y = 4, y = x, z = 0
1 answer
asked by
HELP
927 views
Using Stokes' theorem evaluate ∫c F.dl where F = yi^+ xz^3 j^-z y^3 k^ and C is the circle x^2+ y^2 = 4; z = -3.
1 answer
asked by
gourav bhardwaj
661 views
Using Green's theorum evaluate the integral [ integration from c x^2ydx-xy^2dy] where c is the closed curve along the circle.
1 answer
asked by
gourav
407 views
Determine the directional derivative of phi =xy^z in the direction i^-2j^+2k^ at the point (3, 1, -1)
1 answer
asked by
gourav
371 views
Let the temperature T in a body be independent of z so that it is given by a scalar function:
T = 9x^2 + 4y^2 . Identify the
2 answers
asked by
Prof. Zhuoyu Long
662 views
Let the temperature T in a body be independent of z so that it is given by a scalar function:
T = 9x^2 + 4y^2 . Identify the
1 answer
asked by
Zhuoyu Long
476 views
3. If f(x, y)=5 − 4x3 + 8y2, find a unit vector ~u for which the directional derivative
D~uf(1, 1) is zero. im not sure how to
2 answers
asked by
rebecca
580 views
Let
F(x, y, z) = z tan−1(y^2)i + z^3 ln(x^2 + 10)j + zk. Find the flux of F across S, the part of the paraboloid x^2 + y^2 + z
1 answer
asked by
R
385 views
Let the production function be 𝑓(𝑥1, 𝑥2) = 𝑥1(𝑥1 + (𝑥2)^1/2). Find the technical rate of substitution of input
3 answers
asked anonymously
32 views
Let the production function be 𝑓(𝑥1, 𝑥2) = 𝑥1(𝑥1 + sort𝑥2). Find the technical rate of substitution of input 1
5 answers
asked anonymously
40 views
Describe the level surfaces of
g(x; y; z) = x2 - 2y2 + z2
1 answer
asked by
cheuk
306 views
If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an
1 answer
asked by
Becky
441 views
find and sketch the natural domain of f(x,y)= √(x+y^2 )/(x^2+y^2 )
1 answer
asked by
alya
275 views
Consider the function f(x,y)=xy+xz+yz+4 at the point P=(2,-1,1)
Find the unit vector in direction of maximum increase of f in the
5 answers
asked by
Lucy
344 views
Find and classify all local minima, local maxima, and saddle points of the function f(x,y)= -3yx^2-3xy^2+36xy
I really need help
1 answer
asked by
Lucy
396 views
Consider the function f(x,y)=xy+xz+yz+4 at point p=(2,-1,1)
a)find the unit vector in direction of p. b) find the directional
3 answers
asked by
Lucy
1,122 views
Given the function f(x,y)=y/(x^2+y^2), give and identify the level curves for k=1, k=1/2, and k=1/4, and draw a contour map
2 answers
asked by
Anonymous
479 views
Find the local max and local min and saddle points of f(x, y) = x^4 + y^4 - 4xy +1
1 answer
asked by
Big Deal
418 views
Find the average value of the squared distance between the origin and points in the solid paraboloid D={ (x,y,z): 0 ≤ z ≤ 4
1 answer
asked by
Melissa
438 views
Compute the average value of following fuction over the region R?
f(x,y)= sinxsiny R= { (x,y): 0 ≤ x ≤pi, 0 ≤ y ≤pi}
1 answer
asked by
Z32
348 views
The temperature at any point in the plane is given by function f(x,y) = 100/(x^(2)+y^(2)+1). Find a direction at the point (3,2)
1 answer
asked by
Dani
886 views
"Find the gradient f(x,y)= x^(2)*y + 7xy^(3) at (1,2)."
Thank you!
1 answer
asked by
Anonymous
356 views
"Find the gradient of the given function: z = xe^(y). Assume the variables are restricted to a domain on which the function is
1 answer
asked by
Anonymous
454 views
Verify Euler’s theorem for the function f(x,y)=30(x^0.5)(y^1.5)-2(x^3)(y^(-1))
1 answer
asked by
Anonymous
332 views
Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
1 answer
asked by
john
278 views
Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
1 answer
asked by
john
341 views
Classify all critical points of the function f(x,y)=x^2-y^2+4x-2y+1.
I know I have to take the partial derivative and set them
2 answers
asked by
Britt
552 views
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
x=2y^2 y=1 x=0
2 answers
asked by
Loree
1,269 views
2. Let R be the region in the first quadrant bounded by the graphs of (x^2/9)+(y^2/81)=1 and 3x+y=9 .
a. Set up but do not
1 answer
asked by
Taeyeon
1,134 views
use a double integral to find the volume of the solid
z= 4-x^2 - y^2 y= -2x + 2
2 answers
asked by
Anonymous
1,068 views
Consider the solid that lies above the square (in the xy-plane) R=[0,2]*[0,2],
and below the elliptic paraboloid
1 answer
asked by
Salman
1,058 views
The mass of the solid inside the sphere: x^2+y^2+z^2=1, above the xy plane and below the cone z=SqRT(x^2 + y^2. It's mass
1 answer
asked by
Justin
919 views
A potential energy function for a two-dimensional force is of the form U = 3 x2y - 6 x. Find the force that acts at the point
2 answers
asked by
Jessi
793 views
find the average value of the function
f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
2 answers
asked by
mabel
795 views
Find the directional derivative of the function f(x,y,z) =z^2 -xy^2
at the point P(2,1,3) in the direction of the vector v=< -1,
2 answers
asked by
C
788 views
Find the surface area of the portion of the paraboloid z = 4 - 𝑥^2 -𝑦^2 that lies above the xy- plane?
2 answers
asked by
C
777 views
Find the point on the surface z = 2x2+xy+3y2 where the tangent plane is parallel to
the plane 8x-8y-z=5.
1 answer
asked by
RAJ
665 views
find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane
2 answers
asked by
AIRA
606 views
find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R
f(x,y)= 4-2x-y;
2 answers
asked by
sol
611 views
Find the area of the region that lies inside both curves.
r = (3)^(1/2) cos (theta), r = sin (theta)
1 answer
asked by
Mercedes
605 views
Find the point on the graph of z = 3x^2 − y^2 at which vector n = ⟨12, 4, −1⟩ is normal to the tangent plane.
So far I've
2 answers
asked by
EKM
562 views
Find the domain, the range, and describe the level curves for the function f( x, y) = 1 + e^( -x^2 -y^2)
2 answers
asked by
Anonymous
572 views
Find the volume of the solid region which lies inside the sphere x^2 + y^2 + z^2 = 2 and outside the cone z^2 = x^2 + y^2 Set up
2 answers
asked by
Chad
576 views
Determine whether the function f(x,y) = e^x siny is harmonic.
2 answers
asked by
Anonymous
531 views
Hi there I am having some troubles trying to do my calculus homework and I really need help trying to do this problem from my
2 answers
asked by
shylo
563 views
Evaluate the integral by changing to spherical coordinates.
The outer boundaries are from 0 to 1. The middle one goes from
2 answers
asked by
Mackenzie
538 views
Evaluate the integral ∫∫∫2xzdV bounded by Q. Where Q is the region enclosed by the planes
x + y + z = 4, y = 3x, x = 0, and
2 answers
asked by
Brandon
505 views
Pages
1
2
3
Parent Categories (3)
Algebra
Calculus
Mathematics