Calculus Answers

Write the first four terms of a Maclaurin series for 𝑓(𝑥)= 𝑒𝑥

3. Describe verbally how to solve y=mx+c. What assumptions have you made about the value

of ?

Added NOTE:

For question 3, students should just given a brief description, in writing, of how you would solve  y=mx+c for x.  Don't solve it, just say how you would do it and answer the remainder of the question as well.

Johnny is designing a rectangular poster to contain 48inches squared of printing with a 4-in margin at the top and bottom and a 3-in margin at each side. What overall dimensions will minimize the amount of paper​ used?

Find (i) ∫ 𝑑𝑥 𝑥(ln 𝑥)2

(ii) ∫ 𝑥√𝑥 + 1 𝑑𝑥

(iii) ∫ 𝑥(𝑥 2 + 3) 4𝑑𝑥 1 0

(iv) cos2 𝑥 sin3 𝑥 𝑑𝑥. Try 𝑡 = sin 𝑥 

b. Discuss the possibilities for the number of times the graphs of two different quadratic functions intersect?