Pre-AP+Calculus+even+answers

toc =Even answers=

p. 30
50. A(x) = (2x + 6.5)(2x + 4) – 26 52. x = 0.82 inches 54. x = 11.7 feet 58. f(t) = –16t 2 + 150t +10 and the graph is an upside down parabola graphed in a [0, 10] by [0, 400] window. 60. t = 2.7 and t = 6.6 seconds

p. 45
84. a. b. and c.

Parabola Sheet
[|U1 parabolas solutions.pdf]

Transformations Sheet
[|Transformations Sheet]

IW #8
[|U1 IW#8 solutions.pdf]

p. 89
22. 0 < x < 180 24. The complete graph is a parabola, but we are only interested in the values where x > 0- i.e. half the parabola. 26. L = 625/W 28. xy = 6000 30. 133 feet 32. Choose a window that shows this line in quadrant 1 and 2 (y-intercept of 600). e.g. [-12 000, 12 000] by [0, 1500] 34. $8000 at 7% and $4000 at 8.5% 36. Choose a window that shows this line in quadrant 1 only. e.g. [0, 10 000] by [0, 500 000] 38. R = 50x

Symmetry Sheet
1. y-axis, x-axis, origin 2. y-axis 3. origin 4. x-axis 5. origin 6. y-axis 7. odd 8. neither 9. even 10. even

p. 151
50. V(x) = (x^2 +0.5(30 – x)x)(100 – x) with a domain of 0 < x ≤ 30 52. First quadrant portion

p. 244
28. T = 17/x +53/(x+43) 30. graph on a [0, 25] by [0, 10] window, for example 38. S = 2πr^2 +710/r 40. r = 3.84 cm, h = 7.67 cm, S = 277.55 cm^2

p. 255
44. Drive so that x = 14.98 miles (which will be when T is 1.73 hours). 46. Graph on a [0, 60] by [0, 3] window.

p. 268
50. After 1 year, 81,920 rabbits; after 5 years, a whopping 2.31 x 10^19 rabbits!!! 52. 8.97 months

p. 277
32. $7731.84 34. $7865.22 36. $7878.06

p. 308
46. Graph on [–20, 20] and [–10, 30]. Domain is all reals except 0. 48.Max of 2.38 when r = 1.73

p. 323
70. 7540 rad/min

U4 IW #1
Scanned solutions p. 385/68. If x is taken from 0 to 20, it could represent a period of time, say 20 seconds. Then, the motion of the object at the end of the spring oscillates up and down with a decreasing distance from equilibrium until eventually it returns to rest (due to friction).

U4 IW #3
Scanned solutions

p. 407
4. cos(theta) 10. csc(x) 14. cos(theta) – sin(theta) 20. The graphs appear to be identical.

U4 IW #6
p. 417/14. Expand the LHS with the difference identity for cosine... Scanned solutions

U4 IW #9
[|Scanned solutions]

U4 IW #10
[|Scanned solutions]

U4 IW #13
[|Scanned solutions]

Archived even answers from previous units