Homework assignments for Math 111: Calculus I, Section C

Chapter 1:

• Sec 5, p 62: 1, 2, 4, 17, 18, 25, 26.
• Sec 6, p 74: 1, 2, 3, 4, 5, 6, 10, 13, 14, 17, 20, 23, 24, 26, 27, 32, 35, 36, 37, 39, 40, 50, 51, 59, 60 (Note for 60: The formula displayed in the exercise is a bit misleading. On the left side, Q(t) means "evaluate the function Q at t", while on the right side Q₀ is a constant multiplied by what is inside the parens.)

Chapter 2:

• Sec 1, p 91: 1, 4abc, 6, 7, 8.
• Sec 2, p 102: 1, 2, 3, 4, 7, 8, 13, 14, 15, 16, 24, 25, 26, 29, 30, 35, 38.
• Sec 3, p 111: 2, 4, 9, 10, 12, 17, 23, 26, 30 (Hint: Write in powers of x^1/2.), 40, 41, 43, 44, 45, 56, 57. Challenge: 60.
• Sec 4, p 122: 1, 3, 6, 13, 16. Challenge: 36.
• Sec 5, p 133: 4, 6, 8, 16, 17, 18, 40. Challenge: 62c.
• Sec 6, p 146: 2, 4, 7, 8, 18, 23, 26, 29, 34, 38, 42, 54.
• Sec 7, p 155: 1, 2, 5ab, 6ab, 8, 12ab, 15, 18, 27, 28.
• Sec 8 and 9, p 163: 3, 6, 28; and p 173: 3, 4, 6, 8, 9, 11 (Here is a blank that you can print out for sketching your answers to 6, 8, 9 and 11.), 24, 27, 28, 36, 44. Challenge: 45, 47.

Chapter 3:

• Sec 1, p 191: 7, 8, 13, 16, 18, 19, 22, 24, 25, 29, 30, 32, 40, 45, 47, 50 (Hint: Let a denote the x-value of the point at which one of these tangents meets the graph, and write the equation of the tangent line in terms of a. Then use the fact that (2,-3) is on this tangent to find a.), 53, 57.
• Sec 2, p 197: 2, 3, 8, 12, 14, 24, 28, 31, 34, 39.
• Sec 3, p 208: 2, 10, 12, 14, 19, 27, 28, 34. (The units on 25 are not clear; use the pure numbers given as if they made sense)
• Sec 4, p 216: 2, 6, 8 (Note: c is a constant, and u is the independent variable.), 12, 15, 17, 22, 30, 33, 45c, 47.
• Sec 5, p 224: 2, 8, 9, 12, 15 (m is a constant), 18, 20, 25, 30, 31, 32, 36 (k is a constant), 48a, 51, 55, 57, 67, 68, 70ab.
• Sec 6, p 233: 3, 6, 9, 13, 16, 26, 29, 38, 43, 44, 50, 53. (Hint for 38: Find the equation of the line tangent to the curve at the point at which the x-value is the constant a.)
• Sec 7, p 240: 2, 3, 6, 13, 16, 17, 24, 31, 34, 38, 48 (don't forget the units), 50ac, 55.
• Sec 8, p 249: 1, 4, 5, 10, 12, 19, 21, 27, 32, 35, 38, 41, 47 (answer in terms of x and y).
• Sec 10, p 260: 2, 9, 11, 14, 16, 19, 23, 26, 29, 32, 34.
• Sec 11, p 267: 5, 6, 17, 18, 23, 26, 29, 32, 35, 41, 42, 48a and a new part b: "Find x/sin x when x is the radian measure of an angle of 20 degrees. Why does this verify Hecht's statement?", 49.

Chapter 4:

• Sec 1, p 285: 1, 2, 3, 6, 8, 17, 18, 19, 20, 21, 34, 39, 46, 52, 56, 60, 63, 64, 68b, 79, 80 -- Warning about a difference in terminology between me and the text.
• Sec 2, p 295: 2, 6, 7, 13, 14, 16, 18, 23, 29, 35, 36. In the last two exercises, assume that the given functions are differentiable.
• Sec 3, p 304: 2, 3, 6, 7, 12, 16, 17, 28 (not necessarily a smooth curve), 36, 41, 45, 50, 60. Challenge: 63, 75. (Warning: This assignment will take a long time.)
• Sec 5, p 323: 7, 12, 22, 37, 41, 60. (Warning: This assignment will take a long time.)
• Sec 7, p 336: 2, 6, 7, 10, 14, 16, 17, 23, 29, 35 (Hint: Take as the independent variable the depth of the cup.) 40, 58, 61. Challenge: 28, 51.
• Sec 9, p349: 3, 4, 6, 11, 16 , 31, 38, 39. Hint for 38: First find the x-value a where the tangent line to y = sin x goes through the origin.
• Sec 10, p 358: 2, 3, 5, 8, 11, 12, 17, 20, 23, 29, 32, 41, 46, 49, 53, 62, 65, 74, 76.

Chapter 5:

• Sec 1 and 2, p 378: 2, 4, 15; and p 390: 2, 5, 9, 18, 19, 23, 34, 37, 47, 48, 49, 52.
• Sec 3, p 402: 3, 7, 10, 21, 25, 26, 28, 31, 35, 37, 40, 59, 66. Challenge: 68.
• Sec 4, p 411: 4, 8, 11, 14, 26, 28, 30, 31, 35, 39, 47, 48, 54a, 55, 61.
• Sec 5, p 420: 3, 4, 8, 11, 12, 18, 21, 22, 27, 33, 36, 44, 46, 52, 59, 64, 68.

Chapter 6:

• Sec 1, p 442: 2, 3, 5, 8, 9, 13, 40, 44, 49.
• Sec 5, p 467: 3, 4, 8, 9, 18, 22.