Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA projectile is fired at a speed of 1160 m/sec at an angle of 36°. How long will it take to get 29 km downrange? Round your answer to the nearest whole number.

Match the following with their descriptions: 

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).