Calculus

Find the relationship describing the volume (V) of a cube as a function of the length of the diagona

Find the relationship describing the volume (V) of a cube as a function of the length of the diagona

Find the relationship describing the volume (V) of a cube as a function of the length of the diagonal going through the cube (d).  You MUST show your work in finding this relationship (either by writing it out on paper, or typing it up in Maple)

Bigdadyteel   286   N/A

Bigdadyteel

Choose a function (other than linear or quadratic) and create the following 2 plots in Maple: a)a p

Choose a function (other than linear or quadratic) and create the following 2 plots in Maple: a)a p

Choose a function (other than linear or quadratic) and create the following 2 plots in Maple:
a)   a plot showing your function, as well as your function stretched by some factor and also shifted vertically.
b)   a plot showing your function,

Faisal93   207   N/A

Faisal93

Solve the second-order differential equation

Solve the second-order differential equation

y'' + 4y = sin(2x)

Thanks

HOTmike   214   N/A

HOTmike

A 2.00-lb weight hangs motionless from a spring and is seen to stretch the spring 8.00 in. from

A 2.00-lb weight hangs motionless from a spring and is seen to stretch the spring 8.00 in. from

A 2.00-lb weight hangs motionless from a spring and is seen to stretch the spring 8.00 in. from its free length.  It is pulled down an additional 1.00 in. and released.  Write the equation of motion of the weight, taking zero at the origina

HOTmike   227   N/A

HOTmike

Solve the second-order differential equation

Solve the second-order differential equation

The equation is

y'' - 4y = x^3 + x

HOTmike   269   N/A

HOTmike

Three sides of a trapezoid are 10 cm each. Find the length of the fourth side such that the area of

Three sides of a trapezoid are 10 cm each. Find the length of the fourth side such that the area of

Three sides of a trapezoid are 10 cm each. Find the length of the fourth side such that the area of the trapezoid is largest.

lunaregnum   215   1 Reply

habiba

A piece of ice stays in the shape of a sphere as it melts. The volume of the ice is decreasing at

A piece of ice stays in the shape of a sphere as it melts. The volume of the ice is decreasing at

A piece of ice stays in the shape of a sphere as it melts. The volume of the ice is decreasing at a constant rate of 3π/2 cubic feet per hour. What is the rate of change of the surface area of the piece of ice when the radius is 10 feet?

cloveb   218   1 Reply

bolbol

Suppose a state’s income tax code states that tax liability is 12% on the first $20,000 of taxable ...

Suppose a state’s income tax code states that tax liability is 12% on the first $20,000 of taxable ...

Suppose a state’s income tax code states that tax liability is 12% on the first $20,000 of taxable earnings and 16% on the remainder.  By hand, find constants a and b for the tax function
 
such that i)    and  ii) 

Faisal93   280   1 Reply

cloveb

Find the area enclosed by the graph of the polar equation r = 6 cos .

Find the area enclosed by the graph of the polar equation r = 6 cos .

Find the area enclosed by the graph of the polar equation r = 6 cos .
 
  What will be an ideal response?

stellarelli   130   2 Replies

stellarelli

Find the area enclosed by the graph of the polar equation r = 4 + 2sin .

Find the area enclosed by the graph of the polar equation r = 4 + 2sin .

Find the area enclosed by the graph of the polar equation r = 4 + 2sin .
 
  What will be an ideal response?

Omarlate   103   1 Reply

amelicox35

Find the area bounded by one loop of the polar equation r = 4 cos 2.

Find the area bounded by one loop of the polar equation r = 4 cos 2.

Find the area bounded by one loop of the polar equation r = 4 cos 2.
 
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bkm1   102   1 Reply

shaebugg

Write an equation in both rectangular and polar form for the line with slope -1 through (3, -1 ). ...

Write an equation in both rectangular and polar form for the line with slope -1 through (3, -1 ). ...

Write an equation in both rectangular and polar form for the line with slope -1 through (3, -1 ).
 
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Breionna   87   1 Reply

DRIGGS14

Write an equation in both rectangular and polar form for the horizontal line through (2, 5 ). ...

Write an equation in both rectangular and polar form for the horizontal line through (2, 5 ). ...

Write an equation in both rectangular and polar form for the horizontal line through (2, 5 ).
 
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ididntstudy   102   1 Reply

hetomlinson06

Write an equation in both rectangular and polar form for the vertical line through (-3, 0 ). What ...

Write an equation in both rectangular and polar form for the vertical line through (-3, 0 ). What ...

Write an equation in both rectangular and polar form for the vertical line through (-3, 0 ).
 
  What will be an ideal response?

jco177   94   1 Reply

vazadir

For what values of c are the vectors 3ci - 2j and 4i + cj perpendicular?

For what values of c are the vectors 3ci - 2j and 4i + cj perpendicular?

For what values of c are the vectors 3ci - 2j and 4i + cj perpendicular?
 
  What will be an ideal response?

mazdacx5   68   1 Reply

Vecksa

Find a vector that has the same direction as 6i - 3j and is (a) four times its length; (b) one third ...

Find a vector that has the same direction as 6i - 3j and is (a) four times its length; (b) one third ...

Find a vector that has the same direction as 6i - 3j and is (a) four times its length; (b) one third its length.
 
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haileyrasmussen   95   1 Reply

Flamebrain920

Given a = 2i + 3j, b = 3i + 5j, and c = 8i + 11j express c in the form ra + sb where r and s are ...

Given a = 2i + 3j, b = 3i + 5j, and c = 8i + 11j express c in the form ra + sb where r and s are ...

Given a = 2i + 3j, b = 3i + 5j, and c = 8i + 11j express c in the form ra + sb where r and s are scalars.
 
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kay20213   85   2 Replies

kay20213

Given a = 5i + 9j and b =12i - 10j, determine whether or not a and b are perpendicular. What will ...

Given a = 5i + 9j and b =12i - 10j, determine whether or not a and b are perpendicular. What will ...

Given a = 5i + 9j and b =12i - 10j, determine whether or not a and b are perpendicular.
 
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retard23   70   1 Reply

timmyisbae

Given a = and b = , determine whether or not a and b are perpendicular.

Given a = and b = , determine whether or not a and b are perpendicular.

Given a =  and b = , determine whether or not a and b are perpendicular.
 
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darrellsia   74   1 Reply

Flamebrain920

Describe the graph of the equation y = 5 using plain, clear language.

Describe the graph of the equation y = 5 using plain, clear language.

Describe the graph of the equation y = 5 using plain, clear language.
 
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haileyrasmussen   102   1 Reply

afifazuki

Do the points P(0, -5, 1 ), Q(1, 10, 4 ), and R(6, 8, -1 ) lie in a straight line? What will be ...

Do the points P(0, -5, 1 ), Q(1, 10, 4 ), and R(6, 8, -1 ) lie in a straight line? What will be ...

Do the points P(0, -5, 1 ), Q(1, 10, 4 ), and R(6, 8, -1 ) lie in a straight line?
 
  What will be an ideal response?

Breionna   82   1 Reply

holaholapiepie

Find (to the nearest degree) each angle of the triangle with vertices A(1, 2, 3 ), B(4, 1, 3 ), and ...

Find (to the nearest degree) each angle of the triangle with vertices A(1, 2, 3 ), B(4, 1, 3 ), and ...

Find (to the nearest degree) each angle of the triangle with vertices A(1, 2, 3 ), B(4, 1, 3 ), and C(1,2, 6 ).
 
  What will be an ideal response?

GOOD2Know17   117   1 Reply

Kaydince

Find (to the nearest degree) each angle of the triangle with vertices A(1, 1, 1 ), B(0, 0, 3 ), and ...

Find (to the nearest degree) each angle of the triangle with vertices A(1, 1, 1 ), B(0, 0, 3 ), and ...

Find (to the nearest degree) each angle of the triangle with vertices A(1, 1, 1 ), B(0, 0, 3 ), and C(4, -1, -3 ).
 
  What will be an ideal response?

Lesley0479   107   1 Reply

Acw55

Given the points A(1, 3, -4 ), B(3, 8, 6 ), C(-1, 2, -4 ) and D(-4, 4, -5 ), determine whether or ...

Given the points A(1, 3, -4 ), B(3, 8, 6 ), C(-1, 2, -4 ) and D(-4, 4, -5 ), determine whether or ...

Given the points A(1, 3, -4 ), B(3, 8, 6 ), C(-1, 2, -4 ) and D(-4, 4, -5 ), determine whether or not the points are coplanar. If not, find the volume of the pyramid formed with these points as its vertices.
 
  What will be an i

jeanettedavis84   75   1 Reply

timmyisbae

Given the points A(3, 1, 2 ), B(4, 2, 1 ), C(5, 4, 0 ) and D(7, 6, 6 ), determine whether or not the ...

Given the points A(3, 1, 2 ), B(4, 2, 1 ), C(5, 4, 0 ) and D(7, 6, 6 ), determine whether or not the ...

Given the points A(3, 1, 2 ), B(4, 2, 1 ), C(5, 4, 0 ) and D(7, 6, 6 ), determine whether or not the points are coplanar. If not, find the volume of the pyramid formed with these points as its vertices.
 
  What will be an ideal

malagonvarney   86   2 Replies

malagonvarney

Write an equation of the plane that contains the point P(1, 3, 5 ) and the line L: x = 4t, y = 6 + ...

Write an equation of the plane that contains the point P(1, 3, 5 ) and the line L: x = 4t, y = 6 + ...

Write an equation of the plane that contains the point P(1, 3, 5 ) and the line L: x = 4t, y = 6 + 5t, z = 3 - 2t.
 
  What will be an ideal response?

BJ   73   1 Reply

Dada

Find an equation of the plane through the points P(1, 3, 5 ), Q(2, 4, 6 ), and R(-5, -2, -3 ). ...

Find an equation of the plane through the points P(1, 3, 5 ), Q(2, 4, 6 ), and R(-5, -2, -3 ). ...

Find an equation of the plane through the points P(1, 3, 5 ), Q(2, 4, 6 ), and R(-5, -2, -3 ).
 
  What will be an ideal response?

agilleland   111   1 Reply

Vecksa

Find an equation of the plane with normal vector n = 3i - 2j + k that passes through P(6, 2, -5 ). ...

Find an equation of the plane with normal vector n = 3i - 2j + k that passes through P(6, 2, -5 ). ...

Find an equation of the plane with normal vector n = 3i - 2j + k that passes through P(6, 2, -5 ).
 
  What will be an ideal response?

Tzasqatch   120   1 Reply

Flamebrain920

Find an equation of the plane that passes through the points P(1, 2, 3 ) and Q(-1, 2, -3 ) and is ...

Find an equation of the plane that passes through the points P(1, 2, 3 ) and Q(-1, 2, -3 ) and is ...

Find an equation of the plane that passes through the points P(1, 2, 3 ) and Q(-1, 2, -3 ) and is parallel to line of intersection of the planes x + y + z = 1 and 4x - 2y - z = 5.
 
  What will be an ideal response?

jco177   108   1 Reply

jajikim

Determine whether the line L: x = 5 - 4t, y = 16 + 6t, z = 2 + 5t and the plane 4x + y + 2z = 10 ...

Determine whether the line L: x = 5 - 4t, y = 16 + 6t, z = 2 + 5t and the plane 4x + y + 2z = 10 ...

Determine whether the line L: x = 5 - 4t, y = 16 + 6t, z = 2 + 5t and the plane 4x + y + 2z = 10 intersect or are parallel. If the intersect, find the point of intersection.
 
  What will be an ideal response?

Breionna   83   1 Reply

afifazuki

A particle moves in space. Its position vector at time t is r(t) ti j sin t k cos t. Find the ...

A particle moves in space. Its position vector at time t is r(t) ti j sin t k cos t. Find the ...

A particle moves in space. Its position vector at time t is r(t)  ti  j sin t  k cos t. Find the velocity and acceleration vectors at time t  0.
 
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kay20213   104   1 Reply

Kaydince

A particle moves in space. Its path is parametrized by the vector-valued function r(t) 2i cos t 2j ...

A particle moves in space. Its path is parametrized by the vector-valued function r(t) 2i cos t 2j ...

A particle moves in space. Its path is parametrized by the vector-valued function r(t)  2i cos t  2j sin t  tk. Find the velocity and acceleration vectors.
 
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kay20213   108   1 Reply

lovely_rose_

Find the great circle distance in miles from New York (latitude 40.75 North, longitude 74 West) to ...

Find the great circle distance in miles from New York (latitude 40.75 North, longitude 74 West) to ...

Find the great circle distance in miles from New York (latitude 40.75 North, longitude 74 West) to Atlanta (latitude 33.75 North, longitude 84.4 West).
 
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ididntstudy   102   2 Replies

ididntstudy

Find the volume of the solid bounded below by z = -2 + x + y and above by z = 5, that lies above the ...

Find the volume of the solid bounded below by z = -2 + x + y and above by z = 5, that lies above the ...

Find the volume of the solid bounded below by z = -2 + x + y and above by z = 5, that lies above the plane region inside r = 1.
 
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cillapris   91   1 Reply

jkost7

Find the area bounded by the circle r = 2 using a double integral in polar coordinates. What will ...

Find the area bounded by the circle r = 2 using a double integral in polar coordinates. What will ...

Find the area bounded by the circle r = 2 using a double integral in polar coordinates.
 
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mbhound   132   1 Reply

lizziemjordan

Find the centroid of the plane region bounded by x = 1, x = 3, y = 0, and y = 4. Assume density 1. ...

Find the centroid of the plane region bounded by x = 1, x = 3, y = 0, and y = 4. Assume density 1. ...

Find the centroid of the plane region bounded by x = 1, x = 3, y = 0, and y = 4. Assume density   1.
 
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Breionna   111   1 Reply

andreamorenct

Use a surface integral to find the curved surface area of a right circular cylinder of radius R and ...

Use a surface integral to find the curved surface area of a right circular cylinder of radius R and ...

Use a surface integral to find the curved surface area of a right circular cylinder of radius R and height H.
 
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sarthaknitw   141   1 Reply

KaysonMitchell

Calculate the divergence and curl of the vector field F(x, y, z) = xyzi - 4xzj + 3yzk What will ...

Calculate the divergence and curl of the vector field F(x, y, z) = xyzi - 4xzj + 3yzk What will ...

Calculate the divergence and curl of the vector field F(x, y, z) = xyzi - 4xzj + 3yzk
 
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agilleland   102   1 Reply

shaebugg

Calculate the divergence and curl of the vector field F(x, y, z) = 2xi + 3yj + 4zk What will be ...

Calculate the divergence and curl of the vector field F(x, y, z) = 2xi + 3yj + 4zk What will be ...

Calculate the divergence and curl of the vector field F(x, y, z) = 2xi + 3yj + 4zk
 
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yncr   94   1 Reply

jajikim

Find the derivative of x = 9y3 + 9y - 7 with respect to y

Find the derivative of x = 9y3 + 9y - 7 with respect to y

Find the derivative of  \(x=9y^3+9y-7\)  with respect to \(y\).

karaabunassar   80   1 Reply

bio_man