MAT 101 - Calculus I - Assignment 2

Please start on the Exercises from Sections 1.6 to 2.4 right away. Your first midterm on Sep 14 will be up to Sec 2.4.

Assignment 2

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Part A

The following exercises from Stewart's Essential Calculus are to be solved for presentation and discussion in the tutorials:

• [Section 1.6] 1, 3, 13, 26, 41, 47
• [Section 2.1] 3, 7, 10, 16, 26, 31, 47
• [Section 2.2] 1, 3, 6, 9, 21, 33, 43
• [Section 2.3] 10, 18, 21, 22, 33, 57, 63
• [Section 2.4] 6 to 10, 25, 27, 43, 48, 54
• [Section 2.5] 4, 23, 47, 55, 65, 66
• [Section 2.6] 8, 16, 19, 32
• [Section 2.7] 2, 9, 13, 24
• [Section 2.8] 7, 21
• [Section 3.1] 13, 23, 24
• [Section 3.2] 22, 32, 35, 66
• [Section 3.3] 7, 29, 39, 58
• [Section 3.4] 9, 20

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Part B

Submit written solutions to the following to your tutor by September 23:

• [Section 1.6] 19, 23, 49
• [Section 2.1] 28, 48
• [Section 2.2] 4, 23, 39
• [Section 2.3] 23, 40, 67
• [Section 2.4] 16, 30, 51
• [Section 2.5] 49, 57, 69
• [Section 2.6] 11, 17, 44
• [Section 2.7] 11, 28, 38
• [Section 2.8] 13, 24
• [Section 3.1] 25, 31
• [Section 3.2] 23, 38, 78
• [Section 3.3] 23, 62, 68
• [Section 3.4] 17

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Extra Credit

Submit the following to Prof Habib by September 16: Consider the cubic function $f(x)=x^3+ax^2+bx+c$. Calculate $\lim\limits_{x\to\pm\infty}\frac{f(x)}{x^3}$and use this to show that there is a real number $c$ such that $f(c)=0$.

Edit on Sep 16: Last date of submission of Extra Credit problem is changed to Friday, Sep  20. Submission must be to Prof Habib. Also note that there are two uses of $c$ in the problem which is an oversight. Change the second $c$ to $d$.