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 .

Find the unit tangent vector of the given curve.r(t) = 3t8i – 12t8j + 4t8k

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

Test the vector field F to determine if it is conservative.F = i + j – k