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For a function B=z i − 3x j + 2z k prove the Stokes’ theorem over the circle x2+y2=1 acting as a base of the upside-down paraboloid z = 1 − x2 − y2, z ≥ 0.Hint: convert this function... more

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Calculus 3

04/19/19

Calculus 3 - Newton Raphson Method

Hi there. Please help me solve this problem. I don't even know where to start. Thanks much.Use the Newton-Raphson Method to show that xn+1 = 2xn3 + xn2 + 10 numerator (3xn2 +... more

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Calculus 3

10/07/18

Matrices question. PLSSSSS HELP.

4. Let n≥2, let A and B b en×n matrices and let On be the n×n matrix with every entry 0.(b) Suppose that A2 = On. Show that In − A is invertible, and that (In − A)-1 = In + A.(c) Suppose that Am =... more

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Calculus 3

09/05/18

Suppose U = <2,3,4> Then:

<4,5,3> makes a (right, obtuse, or acute) with u. <5,-1,2> makes a (right, obtuse, or acute) with u. <-8,0,4> makes a (right, obtuse, or acute) with u. <3,2,-3> makes a... more

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Calculus 3

09/04/18

Let V = <1, 3, 3>. Find a unit vector for this.

I have 1/sqrt(10), 3/(sqrt(10)), 3/sqrt(10). I cannot understand why this is not the answer. It is pointing in the same direction.

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Calculus 3

09/04/18

C-(-4,2,4). Find the distance between the point (x,y,z) and C.

I had tried the points (0,0,0)-(-4,2,4) and then use the distance formula, but that has not worked. Then I tried (1,1,1), but that also did not work. I am lost. Any help is needed.

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Calculus 3

08/31/18

Find the length of ->OR.

(We are talking about vectors. R = (4, 5, 5). Then it has, ||->OR|| = _____. I'm not sure how you find OR if you do not have what O is. Thank you. (Arrows are supposed to be on... more

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Calculus 3

08/30/18

Needing to find the X(t) and Y(t) in the equation. This involves Calculus and the hint was Recall the parametric representation of the unit circle as (cost,sin

While a planet P rotates in a circle about its sun, a moon M rotates in a circle about the planet, and both motions are counterclockwise in the same plane. Let's call the distance between M and P... more

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Calculus 3

08/29/18

Find the equation of a sphere if one of it's diameters has endpoints (-10,0,-6) and (4, 14, 8).

I have written: (x+3)2+(y-7)2+(z-1)2-sqrt(588)/2 = 0. But it is marked incorrect.

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Calculus 3

08/29/18

Find an equation of the largest sphere with center (5, 3, 6) and is contained in the first octant. Be sure your formula is monic.

I had put the equation as: (x-5)^2+(y-3)^2+(z+6)^2 However it was viewed as incorrect. Also they had that it equaled zero. equation input = zero.

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Calculus 3

08/19/18

Find the equation of the sphere centered at (−1,10,2) ( − 1 , 10 , 2 ) with radius 4.

Find the equation of the sphere centered at (−1,10,2) ( − 1 , 10 , 2 ) with radius 4. ___________________ = 0 Give an equation which describes the intersection of this sphere with the plane... more

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Calculus 3

08/16/18

Double integral - calculating area

Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2. The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect.... help!

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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

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Calculus 3

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)

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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... more

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Calculus 3

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... more

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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... more

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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

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Calculus 3

Calculate the double integral ∫∫ xy^2/ x^2+1 dA where the region of integration R= {(x,y)| 0 ≤ x ≤1, -3 ≤ y ≤ 3}

Calculate the double integral ∫∫ xy^2/ x^2+1 dA where the region of integration R= {(x,y)| 0 ≤ x ≤1, -3 ≤ y ≤ 3}

Evaluate the following integral by converting to polar coordinate system: ∫∫(√4-x^2-y^2)dA, where R={(x,y)| x^2+y^2 ≤ 4, x ≥ 0|}

Evaluate the following integral by converting to polar coordinate system: ∫∫ye^x dA, where the region R is in the first quadrant enclosed by a circle of radius 5 and centered at origin

Evaluate the following iterated integral by converting to polar coordinate system: ∫∫(sin(x^2+y^2) dydx. The bounds are: y=(√9-x^2), y=0, x=3,x=-3

Evaluate the following iterated integral in cartesian variables ∫ ∫ xy(√x^2+y^2) dydx. The bounds are y=1, y=0, x=1, x=0

Use the change of variable formula evaluate the double integral ∫ ∫R 1/ (√1-x^2-y^2) dA where the region R is the part of the cartesian plane above the xaxis between the circles x^2+y^2=1 & x^2+y^2=4

Stokes' Theorem and Cylindrical Coordinates