Using Green’s Theorem, compute for the given path C. Assume C is closed and positive orientated. F = (9x + 2y)i + (8x – 6y)j; C is the region bounded above by y = -3×2 + 96 and below by in the first quadrant

Identify each given point of the function as a local maximum, local minimum, or saddle point. (-5, -4) [minmaxsaddle1]   (-5, 4) [minmaxsaddle2]   (5, -4) [minmaxsaddle3]   (5, 4) [minmaxsaddle4]  

Which of the following statements about the association between hormones and emotions is TRUE?

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) = (8 ln(3t))i + (4t3)j

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?

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

Short essays: For this exam redo, you will need to answer all six of these questions for full credit. Each question is worth up to 6 points.

Sometimes a person’s self-esteem does not match reality. Describe an example of how a psychological disorder can affect self-esteem (I have mentioned examples from my work as a therapist in class). Make sure to say what disorder or problem the person has and in what way their self-esteem differs from what an outsider would say about them.

Tom knows that he is Catholic, an older brother, and a fan of heavy metal. This describes Tom’s

Alejandro, age 12, notices that his sister is sad after breaking up with her boyfriend. He tells his mom that he feels kind of down when watching his sister mope around the house. He offers to run to the store to get her favorite ice cream. Alejandro is showing