194 Answered Questions for the topic Calculus 3

02/04/16

Evaluate the finite series below.

∑_(i=1)^4¦(i−1)!/t^2

02/04/16

terms and sequences

List the first 6 terms of the sequence below.   (−1)^(n−1)/2n
Calculus 3

02/03/16

If I vector u=<5,-3,6> and v=<3,-2,5> what is the cosine of the angle between u and v? and what is the sine of the angle between them?

If I vector u=<5,-3,6> and v=<3,-2,5> what is the cosine of the angle between u and v? and what is the sine of the angle between them?
Calculus 3

02/03/16

I have vectors u=<1,6,-2> and v<2,-3,1> how do find the distance between the terminal points of these vectors?

I have vectors u=<1,6,-2> and v<2,-3,1> how do find the distance between the terminal points of these vectors?
Calculus 3 Math Calculus Calculus 2

01/31/16

Find the volume of the solid generated???

Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis.       y=2x y=16 4√x
Calculus 3

01/22/16

callculus3

Use two rectangles of equal width to estimate the area between the graph of f(x) = x + cos(πx) and the x-axis on the interval [2, 6]. Evaluate the function at the mid-point of each rectangle to... more
Calculus 3 Math

01/18/16

If village A is 72 miles east and 30 miles south of village B, what is the straight line distance, measured in miles, between the villages (omit units)?

If village A is 72 miles east and 30 miles south of village B, what is the straight line distance, measured in miles, between the villages (omit units)?
Calculus 3 Math

01/18/16

Write down an (in)equality which describes the solid ball of radius 2 centered at (-7, -3, 1). It should have a form like (x+15)2+(y-20)2+(z-12)2-100>0,

Write down an (in)equality which describes the solid ball of radius 2 centered at (-7, -3, 1). It should have a form like (x+15)2+(y−20)2+(z−12)2−100>0, where you use one of the following... more
Calculus 3 Math

01/18/16

Find an equation of the sphere that passes through the origin and whose center is (1,10,-5).

Find an equation of the sphere that passes through the origin and whose center is (1, 10, -5). Note that you must put everything on the left hand side of the equation and that we desire the... more
Calculus 3 Math

01/18/16

What is the distance from the point (11, -6, -7) to the xz-plane?

What is the distance from the point (11, -6, -7) to the xz-plane?
Calculus 3 Math

01/16/16

Find the center and radius of the sphere for this equation x2+12x+y2-18y+z2+16z=-132

Find the center and radius of the sphere for this equationx2+12x+y2−18y+z2+16z=−132
Calculus 3 Math

01/16/16

Find an equation of the largest sphere with center (14, 8, 5) that is contained completely in the first octant.

Find an equation of the largest sphere with center (14, 8, 5) that is contained completely in the first octant.
Calculus 3 Math

01/16/16

Find the equation of a sphere if one of its diameters has endpoints: (-6, 4, 0) and (0, 0, 6).

Find the equation of a sphere if one of its diameters has endpoints: (-6, 4, 0) and (0, 0, 6).
Calculus 3 Math

01/16/16

Find an equation of the sphere that passes through the origin and whose center is (1, 10, -5).

Find an equation of the sphere that passes through the origin and whose center is (1, 10, -5).
Calculus 3 Math

01/16/16

Find an equation of the sphere with center (-6, -3, 4) and radius 9.

Find an equation of the sphere with center (-6, -3, 4) and radius 9.
Calculus 3 Math

01/14/16

Find the distance from the point (1, 4, 6) to the z-axis.

please show work

12/13/15

calculus function

You can perform calculus on functions with several variables. For example, you now know how to find limits of functions with a single variable and are able to extend the knowledge to functions of... more

12/13/15

units a product can produce?

Assume that a company's Cobb-Douglass Function (both L and C are in thousands) is given below. If the company spends $20,000 on labor and $9,000 on capital expenditure, how many units of its... more
Calculus 3 Tangent Plane

12/10/15

Find the equations of the tangent plane and normal line at the point (-2, 1, -3) to the ellipsoid x2 /4 + y2 + x 2 /9 = 3.

Find the equations of the tangent plane and normal line at the point (-2, 1, -3) to the ellipsoid x2 /4 + y2 + x 2 /9 = 3.
Calculus 3

12/05/15

Find the z coordinate of the center of mass of that part of the unit sphere in the first (+++) octant. Assume the density p(x,y,z)=y

Hello! I really need help on this problem. Any help would be greatly appreciated! Thank you!   Find the z coordinate of the center of mass of that part of the unit sphere in the first (+++)... more
Calculus 3 Intergrated Math

12/04/15

Integrate f(x,y,z)=z*sqrt(x^2+y^2) over the cylinder x^2+y^2=4 for (1 < or = to z < or = to 5)

I am really stuck on this question. Any help will be greatly appreciated!   Integrate f(x,y,z)=z*sqrt(x^2+y^2) over the cylinder x^2+y^2=4 for (1 < or = to z < or = to 5)
Calculus 3

12/04/15

Find the mass of a sphere of radius 4 centered at the origin if its density is p(x,y,z)=x^2+y^2

Please help! Thank you :)   Find the mass of a sphere of radius 4 centered at the origin if its density is p(x,y,z)=x^2+y^2
Calculus 3 Integration

12/04/15

Integrate f(x,y,z)=x over the region bounded above by z=4-x^2-y^2 and below by z=x^2+3y^2

Im really stuck on this one. If anyone could tell me how to do this and the answer that would be great!   Integrate f(x,y,z)=x over the region bounded above by z=4-x^2-y^2 and below by z=x^2+3y^2

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)... more
Calculus 3 Math

11/04/15

I dont understand where the sin cos+sin sin went to get sin^2 (highlighted) http://imgur.com/jiyFYCi

http://imgur.com/jiyFYCi

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