Palo Alto students celebrated President’s Day with a long weekend! Many students slept-in, binged on Netflix, and even went skiing in Tahoe. To celebrate President’s Day, Mathnasium’s releasing these President’s Day-themed problems for local Palo Alto students. Enjoy these problems to practice your basic calculus skills!
1. To celebrate President’s Day, the City of Palo Alto decides to throw a parade! The function that expresses the displacement of a float is f(x) = x^2 + 3x + 5, where x represents time in seconds. Find the acceleration of the float at 2 seconds. (Hint: acceleration is the second derivative of the displacement function).
2. George Washington and his soldiers are in a boat, rowing across the Delaware River. If the velocity function can be written as v(x)=3x^2 + 2, what is the displacement function? Write your answer as an indefinite integral.
3. To celebrate President’s Day, local Palo Alto resident Ms. Walters has decided to throw a block party for her neighborhood! After visiting her local Palo Alto grocery store, she has calculated the costs of 2 food combinations for the party. 6 racks of ribs and 5 pies will cost $30. 7 racks of ribs and 2 ribs will cost $50. How much does 1 rack of ribs and 1 pie cost?
We hope that you had fun trying out these President’s Day-themed math problems!