ASSIGNMENT 18 for SECTION 001
Part A is to be completed online before 7:00 a.m. on April 1. Part B and Part C, which require full solutions,
are to be handed in at the beginning of class on the same date.
Part A [10 marks]
This part of the assignment focuses on fundamental skills and computations. It can be found online, labelled
A18, at webwork.elearning.ubc.ca — sign in using the MATH110 001 2010W button.
Part B [5 marks]
This part of the assignment is drawn directly from the course texts. It focuses on mathematical exposition;
you will be graded primarily on the clarity and elegance of your solutions.
From the Calculus: Early Transcendentals text, complete questions 28 and 54 from section 4.4.
Part C [15 marks]
This part of the assignment consists of more challenging questions. You are expected to provide full solutions
with complete arguments and justifications.
1. Find the equation of the line with maximum slope tangent to the curve y = 1 + 2x − x3 .
2. Assess the efficiency of a typical conical paper cup (of the sort dispensed near water coolers). Can they
be better designed?
3. Describe, in the form of (i ) a comic strip, (ii ) free verse, or (iii ) something edible, your feelings about
calculus.