Find the simplified difference quotient. f(x) = 2x+3 The simplified difference quotient is Find the Average Rate of Change of the following function over the interval [1, 7] (That is, from t = 1 tot = 7.) Answer in either integer or fraction form. (No decimals.) f(x) = 13x + 36x + 100 The average rate of change is A car's position in feet t seconds after it starts moving is given by s(t) = 9t/t. The average rate of change in position with respect to time is called average velocity. i) Find the car's average velocity over the first 9 seconds. DO NOT INCLUDE UNITS WITH YOUR ANSWER. ii) Find the car's average velocity from t = 16 to t = 25 seconds. DO NOT INCLUDE UNITS WITH YOU ANSWER. iii) What units would your answers from parts i and ii be in? A. feet OB. feet per second per second C. seconds D. feet per second E. seconds per foot per foot OF. seconds per foot Given f(x) = 9x - 3x + 20 A) Find f(x + h) and SIMPLIFY. f(x + h) = B) Find f(x + h) - f(x) and SIMPLIFY. f(x+ h) - f(x) = f(x + h) -f(x) h C) Find f(x+h)- f(x) h D) Find lim h0 lim h0 and SIMPLIFY. = f(x+h)-f(x) h E) Evaluate f'(1) f(x+h)- f(x) h and SIMPLIFY. This is f'(x). = f'(1) =