Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 ≤ 64

Find the angle between the given vectors. Round to the nearest tenth of a degree.u = i – j, v = 3i + 5j

Write the equation for the plane.The plane through the points P(-1, 7, -44) , Q(2, -3, 20) and R(1, -1, 4). 

Find the angle between the given vectors. Round to the nearest tenth of a degree.u = i – j, v = 5i + 6j

Find the length of the curve with the given vector equation.r(t) = 3ti + j + k; 2≤ t ≤ 7

Find the length of the curve with the given vector equation.r(t) = 3ti + j + k; -9≤ t ≤ -6

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.A 250-lb sign is hanging from the end of a hinged boom, supported by a cable inclined at 39° with the horizontal. Find the tension in the cable and the compression in the boom rounded to the nearest pound.

Find the potential function f for the field F.F(x,y,z) = 9i + -ezj – yezk

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