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

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

Use the probability distribution from number 13 for this problem. Suppose you roll this weighted die twice. The outcomes of a 4 on the first roll and a 6 on the second roll are considered:

Identify each given point of the function as a local maximum, local minimum, or saddle point. (4, 7)   (4, -7)   (-4, 7)   (-4, -7)  

Suppose you are the parent of a small child who is crying and pulling on their ear. Consider the null and alternative hypotheses for this situation:Ho: The child is healthyHa: The child has an ear infectionYou have a decision to make: Take the child to the doctor (you believe the alternative hypothesis) or wait it out (you believe the null hypothesis). If you make a Type II error, what happened?

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

Find the angle between the given vectors. Round to the nearest tenth of a degree.u = i – j, v = 4i + 5j

Evaluate the line integral along the curve C.ds, C is the curve r(t) = (9 sin t)i + (9 cos t)j + 5tk, 2 ≤ t ≤ 4

Provide an appropriate answer.Find when u = 2 and v = 5 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 .