Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

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

Evaluate the line integral along the curve C.ds, C is the curve r(t) = (6 sin 2t)i + (6 cos 2t)j + 5tk, 2 ≤ t ≤ 4

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

Consider the following balance sheet for Midtown Bank (Reserve Requirement = 10 percent) Asset                                                                                                    Liability Reserve: 9 million (required)                                                              Deposit: 90 million Loan: 50 million                         Securities: 30 million Other Assets: 11 million                                                                     Bank Capital: 10 million Suppose there is an unexpected deposit outflow of 9 million, what type of crisis do you think the bank is facing? and why? Explain your answer. Please make sure your answer includes a detailed discussion on the changes the assets or liabilities in the balance sheet of the bank. (4+4+8=16 points).                                

Find the triple scalar product (u x v) ∙ w of the given vectors.u = -5i – 3j + 4k; v = 5i – 3j + 8k; w = 9i – 5j – 4k

Match the following with their descriptions: 

List and briefly describe James Marcia’s four identity statuses. Then, choose one and give an example of a person in that status that shows that you understand what it would look like in real life (it doesn’t have to be an example of a real person, like I used Lady Gaga in class, I mean tell me about what a person in that status would be like or what they do).

According to Erikson, during adolescence one must establish _____ before they can develop intimacy.

Otis is loud, seeks attention, and he can sometimes be mean. He says, “This is me; take it or leave it. I’m not able to change.” According to Carol Dweck, Otis