2. Find all solutions to the following equation on the interval [0, 27]. T COS X = VIT

10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. The image shows the relationship of the airplane to the observer at a later time. a.) Find an equation relating x and y. 5000°t 390 5000 b.) Find the value of x when y is 6,250. Observer c.) How fast is the distance from the observer to the airplane changing at the time when the airplane is dy at the time when dt dx = 390 and y = 6,250? dt 6,250 feet from the observer? That is, what is

show that r = p/1+e cosθ, where p=ke

Because of a storm, ground controllers instruct the pilot of a plane flying at an altitude of 4 miles to make a 90° turn and climb to an altitude of 4.2 miles. The model for the path of the plane during this maneuver is                             r(t) = ⟨10 cos 10πt, 10 sin 10πt, 4 + 4t⟩, 0 ≤ t ≤ 1/ 20                                where t is the time in hours and r is the distance in miles.                              (a) Determine the speed of the plane.                                                              (b) Calculate aT and aN. Why is one of these equal to 0?

6.3-1c) please help with part C-

For nos.2-7 , do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric identities first [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace formulas. (v2) t %3D For no.3. V2t means Find L{f (t)}of the following functions. Note: a, b, e, k and n are constants. 5. f(t)=-3t*e0.5+ +3.8t²e²4*

Please answer both parts A and B thoroughly.