You will create two calculus questions base on the criteria stated for each, along with the full solutions to each of the equations. You will be grade on the question, accurate and clear solution, and overall communication and presentation. Your solutions must be submitted in neat, chronological order, with titles clearly indicating the question and aspect of the question being answered. Include a title page. Type of the Function / Characteristics Method used to solve Define the function to be f (x) as either: 0 Determine the First Principles of f (x). o a reciprocal ofa quadratic function 0R / 3 . a reciprocal ofa square root function 0 Verify by solving for f '(x) using derivative rules. The denominator must have at least 2 terms. /1 /2 Question 2 A continuous piecewise position function, s(t), 0 State the domain. / 1 where t is time in minutes and s is in meters. 0 Determine WI). The piecewise function contains 0 an exponential function AND / 3 o a polynomial function (degree 3 or greater, with 3 or more terms) 0 Solve for I where the object is at rest. a The position function must have / 3 a maximum value 5(1), 2 S s(t) s 5. 0 Include a graph of s(t) and v(t) (use technology) / 3 /1