Hello I need help with the following problems please and thank you.

5x Find the slope of the graph of the function g(x) = x - 2 at (3, 15). Then find an equation for the line tangent to the graph at that point. . . . 5x The slope of the graph of the function g(x) = x - 2 at (3, 15) is (Type an integer or a simplified fraction.) 5x The equation for the line tangent to g(x) = X - 2 at (3, 15) is y =Suppose the speed of a car approaching a stop sign is given by V(t) = (t 3}2, for 0 s t s 3, where t is measured in seconds and V{t) is measured in meters per second. a. Find v'{2). b. Interpret the phvsical meaning of this quantity. '...' LJ' a. v'(2) = V b. Choose the correct answer below. 0 A. v'(2) represents the instantaneous rate of change in the car's position at t= 2. O B. v'{2) represents the average rate of change in the car's position at t= 2. O C. v'{2) represents the instantaneous rate of change in the car's speed at t= 2. O D. v42] represents the average rate of chance in the car's speed at t= 2. dy dy dy Use limits to find and dx if y = 3x . Then evaluate dx X =4 dx X= -8 dy Identify the limit that should be evaluated in order to find dx , using h and not using f in your answer. dy = lim dx h -0 dy Find the function for dx dy E dx dy dy is and is dx X =4 dx x= - 8 (Simplify your answers.)\fA projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t) = - 16t- + 140t. a. For s(t), find the instantaneous velocity function v(t). (Recall that the velocity function v is the derivative of the position function s.) b. Determine the instantaneous velocity of the projectile at t = 2 and t = 3 seconds. a. V(t) = b. At t= 2, the instantaneous velocity is (Type an integer or a simplified fraction.) At t = 3, the instantaneous velocity is (Type an integer or a simplified fraction.)