# Mathematics

Developmental Math Discover Developmental Math homework help here Applied Calculus & Finite Math Examine Applied Calculus & Finite Math homework help here Technical Mathematics Learn more about Technical Mathematics homework help here Advanced Math Find Advanced Math homework help here Calculus Locate Calculus homework help here

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

Write an equation in both rectangular and polar form for the horizontal line through (2, 5 )
[Calculus]
(3)

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

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

Given a = 2i + 3j, b = 3i + 5j, and c = 8i + 11j express c in the form ra + sb where r and s are scalars
[Calculus]
(3)

Given a = 5i + 9j and b =12i - 10j, determine whether or not a and b are perpendicular
[Calculus]
(3)

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 )
[Calculus]
(3)

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 )
[Calculus]
(3)

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
[Calculus]
(3)

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
[Calculus]
(3)

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
[Calculus]
(3)

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

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

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
[Calculus]
(3)

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
[Calculus]
(3)

A particle moves in space. Its position vector at time t is r(t) [] ti ε j sin t ε k cos t. Find the velocity and acceleration vectors at time t [] 0
[Calculus]
(3)

A particle moves in space. Its path is parametrized by the vector-valued function r(t) [] 2i cos t ε 2j sin t ε tk. Find the velocity and acceleration vectors
[Calculus]
(3)

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)
[Calculus]
(3)