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.

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

Josh’s parents tell him “good job” for everything, even when he gets a poor grade on an assignment or doesn’t place in track meets. Josh is now in college and is receiving critical feedback on his assignments from his professors. According to research, Josh will probably

Find the triple scalar product (u x v) ∙ w of the given vectors.u = -5i – 3j + 4k; v = 5i – 3j + 6k; w = 10i – 6j – 5k

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

True or False:If  the and , the appropriate decision is to REJECT the null hypothesis.

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

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

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