Please help!!

1. (6 Points) If a rock is thrown upward on Mercury with a velocity of 12 m/s, its height in meters t seconds later is given by y = 2515 3.71:2. 3.) Find the average velocity for the time period beginning when t = 4 and lasting 0.1 seconds. b) Find the average velocity for the time period beginning when t = 4 and lasting 0.01 seconds. 0) Find the average velocity for the time period beginning when t = 4 and lasting 0.001 seconds. d) Using your work above estimate the instantaneous velocity when t = 4. 2. (6 Points) Sketch the tangent line at the point P on the graph below and then circle the equation below that best describes the equation of the tangent line at the point P. Write a sentence describing your reasoning for your choice above. 1' y=3m+5 y=3m6 y=3z:+6 y=3:L'6 2 14 48 3. (5 Points) Evaluate lirn w z_>_6 a: + 6 algebraically. 4. (1 Point Each) For the function f whose graph is given, estimate the value of each quantity, if it exists. Write DNE if it does not exist. - Not a) lim f(x) = b) f ( - 3 ) = I- -3 c) lim f(x) = d) lim f(x) I-+0+ e) lim f() = - 1-+0 f) lim f (ac) g) lim f(x) = h) f (2 ) 5. (5 Points) Evaluate lim Vx - 5 x-+25 x - 25 algebraically