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Monday:
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x-period:
- Read: no new reading
- Do:
- pp. 150 - 151 # 1, 4, 6, 11, 26, 117, 118
- Evaluate each of the following limits:
(a) limx→ 1(x2 - x)/(x2 - 1)
(b) limx→ 1 (ln x)/(x - 1)
(c) limx→ ∞ ex/x2
(d) limx→ π/2 (tan x + x)/sin x
- Due: Friday, November 19
- Solutions to assignment 25
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Friday:
- Read: pp. 154 - 160, 201
- Do:
- pp. 161 - 162 # 1, 2, 7, 19
- Find the critical points of the following functions:
(a) f(x) = 5x2 + 4x
(b) g(x) = x3 + x2 + x
(c) f(z) = (z + 1)/(z2 + z + 1)
- Due: Monday, November 22
- MEMOS are due today.
- Solutions to assignment 26
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Monday:
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x-period:
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Friday:
- Read: pp. 131 - 134
- Do: pp. 133 - 136 # 2, 6, 13, 17, 20, 23, 33a, 33b
- Due: Monday, November 15
- MEMOS are due today.
- Solutions to assignment 23
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Monday:
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x-period:
- Read: pp. 114 - 117
- Do:
pp. 118 - 119 # 5, 11, 12, 15, 17, 21, 22, 34, 35, 38
- Due: Friday, November 5
- Solutions to assignment 19
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Friday:
- Read: pp. 120 - 123
- Do: pp. 123 - 124 # 2, 7, 12, 13, 19, 21, 26, 28, 34
- Due: Monday, November 8
- MEMOS are due today.
- Solutions to assignment 20
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Monday:
- Read: pp. 72 - 76
- Do: pp. 76 - 77 # 1 - 6, 15, 16, 18
- Find the SECOND derivatives of the following functions:
(a) f(x) = 5x2 + 1
(b) g(x) = 2x
- Due: x-period
- Solutions to assignment 15
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x-period:
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Friday:
- Read: No New Reading
- Do: p. 108 # 26, 29, 32, 34, 35, 37, 38, 40, 47
- Due: Monday, November 1
- MEMOS are due today.
- Solutions to assignment 17
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Monday:
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x-period:
- Read: pp. 93 - 94, 98
- Do:
- pp. 98 - 99 #1, 9
- Find the derivative functions of the following:
(a) f(x) = πeπ
(b) g(x) = x3 + 2x
(c) h(x) = πx2 + 1
- Due: Friday, October 22
- Solutions to assignment 13
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Friday:
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Monday:
- Read: pp. 20, 44 - 49
- Do:
- p. 51 #13 & 15 only parts (a) through (c)
- p. 90 #7
- Find the following limits:
(a) limx→5 (2x2+3x-4)
(b) limh→0 ((3+h)2-9)/h
- Given that
limx→a f(x) = -3, limx→a g(x) = 0,
and limx→a h(x) = 8, find the following limits:
(c) limx→a ((g(x) + h(x))
(d) limx→a (f(x))2
(e) limx→a 2f(x)/(h(x) - f(x))
- Due: x-period
- Solutions to assignment 9
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x-period:
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Friday:
- Read: pp. 51 - 57
- Do: pp. 58 -6 0 #1, 2, 3, 7, 11, 14, 20, 23, 32
- Due: Monday, October 18
- MEMOS are due today.
- Solutions to assignment 11
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Monday:
- Read: Supplemental Reading pdf.
- Do:
- pp. 17 - 18 #18, 19, 20, 45
- For each of the following functions, say whether the function is even, odd, or neither
(a) sin(x)
(b) cos(x)
(c) tan(x)
- Give the exact values (no decimals) for each of the following:
(d) cos(-π/3)
(e) sin(π/6)
(f) cos(2004π/3)
(g) cos2(1002π/3) - sin2(1002π/3) (notice anything about the answers to (f) and (g)?))
- Draw each of the following angles in standard position:
(h) 7π/3 rad
(i) 2 rad
- Due: x-period
- Solutions to assignment 6
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x-period:
- Do:
- Evaluate the following:
(1) arctan(1)
(2) arcsin(Ö(3)/2)
(3) tan(cos-1(0.5))
(4) tan-1(tan(4π/3))
(5) arcsin(sin(5π/4))
- Graph each of the following:
(6) f(t) = sec(t/2)
(7) g(t) = csc(t - π)
(8) h(t) = 5 cos-1(3t)
- Let θ be an acute angle (less than π/2 rad). Find tan θ if θ = sin-1x (note that
x is a variable)
- Due: Friday, October 8
- Solutions to assignment 7
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Friday:
- Do:
- Prove that each of the following are true:
(a) (sin x + cos x)2 = 1 + sin(2x)
(b) sec y - cos y = tan(y)sin(y)
(c) 1/(1 - sin θ) + 1/(1 + sin θ) = 2 sec2θ
(d) cot t/(cot t + 1) = 1/(1 + tan t)
(e) sin φ/(1 - cos φ) = csc φ + cot φ
- Find all values of x in [0, 2π] satisfying each of the following:
(f) 2 sin2x = 1
(g) sin x = tan x
(h) 2 cos x + sin(2x) = 0
- Due: Monday, October 11
- MEMOS are due today.
- Solutions to assignment 8
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