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

Kayla usually does well in school but recently received a C on a paper. She says that this is because her teacher does not like her and is punishing her for disagreeing with the teacher in class. Kayla is making_____ about the cause of her low paper grade.

List and briefly describe the Big Five factors of personality. In your description, make sure you give an example of what the trait means in real life, such as “people who are high on X do Y.”