800
Answer Key
15 . a. −7
y = −7 9
x + 14 3
9 b.
17 . a. 12 b. y =12 x +14 19 . a. −2 b. y =−2 x −10 21 . 5 23 . 13 25 . 1 4 27 . − 1 4 29 . −3 31 . a. (i) 5.100000,
(ii) 5.010000, (vi) 5.000001, (vii) 4.900000, (viii) 4.990000, (ix) 4.999000, (x) 4.999900, (xi) 4.999990, (x) 4.999999 b. m tan =5 c. y =5 x +3 33 . a. (i) 4.8771, (ii) 4.9875 (iii) 4.9988, (iv) 4.9999, (v) 4.9999, (vi) 4.9999 b. m tan =5 c. y =5 x +10 35 . a. 1 3 ; b. (i)0.3 – m/s, (ii)0.3 – m/s, (iii)0.3 – m/s, (iv)0.3 – m/s; c. 0.3 – = 1 3 m/s 37 . a. 2 ⎛ ⎝ h 2 +6 h +12 ⎞ ⎠ ; b. (i)25.22 m/s, (ii)24.12 m/s, (iii) 24.01 m/s, (iv)24 m/s; c. 24 m/s 39 . a. 1.25; b. 0.5 41 . lim x →0 − x 1/3 −0 x −0 = lim x →0 − 1 x 2/3 =∞ 43 . lim x →1 − 1−1 x −1=0≠1= lim x →1 + (iii) 5.001000, (iv) 5.000100, (v) 5.000010, x −1 x −1 45 . a. (i) 61.7244 ft/s, (ii) 61.0725 ft/s (iii) 61.0072 ft/s (iv) 61.0007 ft/s b. At 4 seconds the race car is traveling at a rate/velocity of 61 ft/s. 47 . a. The vehicle represented by f ( t ), because it has traveled 2 feet, whereas g ( t ) has traveled 1 foot. b. The velocity of f ( t ) is constant at 1 ft/s, while the velocity of g ( t ) is approximately 2 ft/s. c. The vehicle represented by g ( t ), with a velocity of approximately 4 ft/s. d. Both have traveled 4 feet in 4 seconds. 49 . a.
b. a ≈ − 1.361, 2.694 51 . a. N ( x ) = x
30 b. ∼3.3 gallons. When the vehicle travels 100 miles, it has used 3.3 gallons of gas. c. 1
30 . The rate of
gas consumption in gallons per mile that the vehicle is achieving after having traveled 100 miles. 53 . a.
This OpenStax book is available for free at http://cnx.org/content/col11964/1.12
Made with FlippingBook - professional solution for displaying marketing and sales documents online