194 Answered Questions for the topic Calculus 3
07/07/18
Find an area bounded by a graph
I need help with this task.
cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c
06/27/18
Find the volume of the solid
Find the volume of the solid bounded by the plane z = 5 and the hyperboloid z = SquareRoot(9+x^2+y^2)
Calculus 3
06/25/18
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=5x+y on the ellipse x^2+36y^2=1.
Use Lagrange multipliers to find the maximum and minimum values
Calculus 3
04/20/18
Calculating work done by force field ( multivariable calculus )
Calculate the work done by the force field F(x,y,z)=(xx +z2 )i + (yy + x2 )j + (zz +y2)k when a particle moves under its influence around the edge of the part of the sphere x2 +y2 +z2 =4 that lies...
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03/25/18
Differential Equation Question
How would I write this in matrix form (x' = AX)
x' = x
y' = y
Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v y)? Note: the "v" means the value after...
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Calculus 3
02/15/18
Find Z(subx) and z(suby)
Let exyz = 2. Find zx and zy in 3 ways and check for agreement.
a. use result of a previous exercise (i.e. Assume that F(x,y,z(x,y))=0 implicitly defines z as a differentiable function of x...
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Calculus 3
02/13/18
How do I do this? Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x2 + 4xy + y2 − 34x − 32y + 38
Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.f(x, y) = x2 + 4xy + y2 − 34x − 32y + 38
Calculus 3
02/13/18
How do I do this? For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = 36 x + 6 y + xy
For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.f(x, y) = 36x + 6y + xy
Calculus 3
02/13/18
How do I do this? ------ Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4 ln(x − y)
Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4 ln(x − y)
Calculus 3
02/05/18
i need help answering this question. find an equation of the tangent plane to the hyperboloid given by z^2 - 2x^2 - 2y^2 - 12 = 0 at the point (1,-1,4)
and i would like steps if possible to help explain how you got the answer
12/23/17
Complex Analysis - Analytic Functions
Show that
f(z)=[sin(PI/z)]/(z+2) is nowhere analytic for |z|<a , where a is a some positive number.
Can you help me to solve this problem?
Calculus 3
12/12/17
Use Lagrange Multipliers to solve the problem. Find the distance from the point (1,-1,2) to the plane x+y-z=3.
I do not understand the steps for the Lagrange Multipliers
Calculus 3
11/04/17
Evaluate the double integral D of 3/(4 +y^3) where D= {(x,y) | 0 <x <1, x^(1/2) <y <1}
Evaluate the double integral D of 3/(4 +y^3) where D= {(x,y) | 0 <x <1, x^(1/2) <y <1}
Calculus 3
11/04/17
What is a geometrical interpretation of a harmonic function?
More specifically, what geometrical properties does a function need to have, in order to satisfy the laplace equations? (other than it being 2nd order differentiable)
Calculus 3
11/03/17
Find and sketch the domain of the function
Hi, I need to know if Im right. Function is :
f(x,y)= (ln(2-x))/(1-x2 -y2 ) so x <2 and x2 +y2 <1
Graphing this, I shaded everything less than x=2 and shaded the circle.
11/02/17
Consider the curve C given by the equation
Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and y...
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Calculus 3 Calculus
10/25/17
triple intergral
Evaluatethe triple integral of x^2 where D is the region inside the cylinder x^2+y^2=9 which is bounded below by the plane z=0 and bounded above by the plane 4x+4y+z=19I know the limits of the z...
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10/25/17
Given any Cartesian coordinates, (x,y), there are polar coodinates
Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2).
Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following Cartesian...
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10/10/17
Vector Projection, and Orthogonal Complement
I have projections down good, but I keep getting the orthogonal complement wrong.
QUESTION
a = <0,2,-5> b = <6,8,-3>
compute the projection of a onto b and the vector...
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Calculus 3 Calculus 2
10/09/17
Use substitution x=sin theta to evaluate integrate x^2/(1-x^2)^5/2
Full working out please
Calculus 3
09/26/17
Use the Chain Rule to find dz/dt. z = xy^9 − x^2y, x = t^2 + 1, y = t^2 − 1
just a regular calc 3 question using chain rule. not sure what im doing wrong
Calculus 3
09/18/17
Where L intercepts P
let P be the plane in R3 given by x + 2y + z = 0. Let L be the line through two points (1,0,1) and (0,1,1). Give the coordinates of the point where L intercepts P.
09/11/17
Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1>
Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1>
First vector = <?, ?, ?>
Second vector = <?, ?, ?>
09/11/17
Find the velocity, acceleration, and speed of a particle with position function
Find the velocity, acceleration, and speed of a particle with position function r(t) = <-7tsin(t), -7tcos(t), 4t^2>
v(t) = <?, ?, ?>
a(t) = <?, ?, ?>
|v(t)|= ?
Calculus 3 Calculus
09/11/17
Checking Over a Calculus 3 Problem
A plane Q is defined by the equation 4(x-8)+3(y-7)-5(z+2)=0.
Give the most obvious example a point P lying on the plane Q.
I believe this to be (8,7,-2)
Then the next part asks for the...
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