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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the area bounded by the parabolas x^2-2y=0 and x^2+2y-8-0
11.7
a.
b. 4.7
9.7
62. A bacteria culture has an initial population of 500. After 4 hours the population has grown to 1000
Assuming the culture grows at a rate proportional to the size of the population, determine the size of the
population after 12 hours.
a. 2000
b. 4000
C.
d. 10.7
C. 6000
d. 8000
63. A cylindrical container has dimensions of 5-ft radius and12-ft height and is full of water. Find the work done
in pumping the water to the top of the tank.
a. 353286 lb-ft
b.
C.
352863 lb-ft
C.
358632 lb-ft
d. 356328 lb-ft
d.
64. The P 1,000,000 face value ABC bond has a coupon rate of 6%, with interest paid annually, and matures in 5
years. If the bond is priced to yield 8%, what is the bond's value today (cash price)?
a. P 920 thousand
b.
P 940 thousand
P 960 thousand
P 980 thousand
65. A quadrilateral whose diagonals are 4.5m and 2.78m and makes an acute angle equals to 59.74". Find the
area bounded by the quadrilateral.
a. 5.68 sqm
b. 3.52 sqm
C 5.40 sqm
d. 4.52 sqm
66. An automobile approaches a barrier at a speed of 20 m/s along a level road. The driver locks the brakes at a
distance of 50 m from the barrier. What minimum coefficient of kinetic friction is required to stop the
automobile before it hits the barrier?
a. 0.4
b. 0.5
C.
0.6
d. 0.7
67. A cookie has been made in a room with an ambient temperature of 100°F. If it was cooked in an oven of
350°F.After just 1 minute the cookie has been raised to 180°F. What will be its expected temperature if the
cookies are cooked within 2.5 minutes?
a. 255°F
b. 266°F
C
277°F
Transcribed Image Text:Find the area bounded by the parabolas x^2-2y=0 and x^2+2y-8-0 11.7 a. b. 4.7 9.7 62. A bacteria culture has an initial population of 500. After 4 hours the population has grown to 1000 Assuming the culture grows at a rate proportional to the size of the population, determine the size of the population after 12 hours. a. 2000 b. 4000 C. d. 10.7 C. 6000 d. 8000 63. A cylindrical container has dimensions of 5-ft radius and12-ft height and is full of water. Find the work done in pumping the water to the top of the tank. a. 353286 lb-ft b. C. 352863 lb-ft C. 358632 lb-ft d. 356328 lb-ft d. 64. The P 1,000,000 face value ABC bond has a coupon rate of 6%, with interest paid annually, and matures in 5 years. If the bond is priced to yield 8%, what is the bond's value today (cash price)? a. P 920 thousand b. P 940 thousand P 960 thousand P 980 thousand 65. A quadrilateral whose diagonals are 4.5m and 2.78m and makes an acute angle equals to 59.74". Find the area bounded by the quadrilateral. a. 5.68 sqm b. 3.52 sqm C 5.40 sqm d. 4.52 sqm 66. An automobile approaches a barrier at a speed of 20 m/s along a level road. The driver locks the brakes at a distance of 50 m from the barrier. What minimum coefficient of kinetic friction is required to stop the automobile before it hits the barrier? a. 0.4 b. 0.5 C. 0.6 d. 0.7 67. A cookie has been made in a room with an ambient temperature of 100°F. If it was cooked in an oven of 350°F.After just 1 minute the cookie has been raised to 180°F. What will be its expected temperature if the cookies are cooked within 2.5 minutes? a. 255°F b. 266°F C 277°F
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