Question

a rocket of mass 4.49x105 kg is in flight near earths surface. its thrust is directed at an angle of 56.3° above the horizontal and has a magnitude of 7.63 N find the magnitude and direction of the rockets acceleration. Give the direction as an angle above the horizontal.

Answer 1

Let a € R.
Let f, g be any two functions defined at least on an interval centered at a, except maybe at a
Determine the following statements are True or False.
(a) If lim f(a) = 0, then lim f(2)g(2) = 0.
-a
False
(b) If lim f(x) = 5 and lim f(x)g(2) = 10, then lim g(2) = 2.
2›a
-a
(c) IF lim f(a) does not exist, then lim pty does not exist.
2-a
True
True
(d) If lim
2›a f(x)
00, then lim f(2) = 0.
True
(e) If lim f(2) = 0. then lim
2›a
2›a f(x)
00
False
Hint: try to find some examples or sketch some function graphs to support your conclusions.