1) Given function ()=42+3

1a) Use limit definition lim()() to find (1) = slope of the tangent line of () at =1.

1b) Use limit definition lim0(+)() to find (1)= slope of the tangent line of () at =1.

1c) Are the slopes calculated from a and b the same? Use it to find the equation of the tangent line at a = 1.

2) A rock is dropped from a height of 100 ft. Its height above ground at time t sec. later is given by

()=162+100,02.5.

a) Use limit definition of instantaneous velocity lim0(+)() to find (2).

b) Use limit definition of instantaneous velocity lim()() to find (2).

c) What is the unit of (2)? Interpret the physical meaning of (2).

1) Given function f (x) = 4x2 + 3 la) Use limit definition lim (x)-f(a) x-a x-a to find f' (1) = slope of the tangent line of f (x) at a = 1. 1b) Use limit definition lim Lath)-@ to find f'(1) = slope of the tangent line of f (x) at a = 1. h-0 1c) Are the slopes calculated from a and b the same? Use it to find the equation of the tangent line at a = 1. 2) A rock is dropped from a height of 100 ft. Its height above ground at time t sec. later is given by s(t) = -16t2 + 100, 0