Question 1 & 3

important to your solution. 1. If the position of an object is given by s(t)=4sin(3t)-10t+7. Determine where, if anywhere, the object is not moving in the interval [0,4] 2. Find the equation of the line tangent to the graph of f(x)=3x2-11 at x =2. 3. Derive the following function. f(x)=(x2-3)(4x5+3+3-5)(1/2) 4. Given the following equation f(x)=3x4+2x-2x3+x2+5 and that a= 2 a) Evaluation f(a) b) Graph the function f(x) and the tangent line at x=a 5 A ball is dropped is dropped from a height of 72 feet. Its height above ground (in feet) seconds later is given by the equation s(t)= - 1812+72. a) What is the instantaneous velocity of the ball when it hits the ground? Note v(t)-s'(t) b) What is the average velocity during its fall