Write the equation for the plane.The plane through the points P(-1, 7, -36) , Q(2, 6, -17) and R(1, -7, 30). 

Find the unit tangent vector of the given curve.r(t) = 3t2i – 12t2j + 4t2k

Find the requested partial derivative of the given function. f(x, y) = x ln (y – x) Find

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (7 ln(9t))i + (8t3)j

Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA projectile is fired at a speed of 1040 m/sec at an angle of 39°. How long will it take to get 26 km downrange? Round your answer to the nearest whole number.

Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

Solve the problem.Write an iterated triple integral in the order for the volume of the tetrahedron cut from the first octant by the plane .

Evaluate the line integral along the curve C.ds, C is the curve r(t) = (4 sin t)i + (4 cos t)j + 12tk, 2 ≤ t ≤ 4

Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

Write the equation for the plane.The plane through the points P(-1, 7, -36) , Q(2, 6, -17) and R(1, -7, 30).