4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t years after 2018. a. At what rate was the GDP changing with respect to time in 2028? b. At what percentage rate was the GDP changing with respect to time in 2028?

Calculus: Early Transcendentals
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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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4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t years
after 2018.
a. At what rate was the GDP changing with respect to time in 2028?
b. At what percentage rate was the GDP changing with respect to time in 2028?
5- Solve the system using the Gauss-Jordan elimination method:
a- 3x, + x2 - 2x3 = 2
X1-2x+ x3=3
2x1 - x2 - 3x3 = 3
b- 2x1 -x2 + 3x4 = 9
4x1 - 2x2 - 5x3= -10
3x1 + 5x, + 2r3 -3x4= 0
Transcribed Image Text:4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t years after 2018. a. At what rate was the GDP changing with respect to time in 2028? b. At what percentage rate was the GDP changing with respect to time in 2028? 5- Solve the system using the Gauss-Jordan elimination method: a- 3x, + x2 - 2x3 = 2 X1-2x+ x3=3 2x1 - x2 - 3x3 = 3 b- 2x1 -x2 + 3x4 = 9 4x1 - 2x2 - 5x3= -10 3x1 + 5x, + 2r3 -3x4= 0
1- Find the limits:
V-1
lim
a.
2x
b. lim
x- 0 3(x-2)2
2r3
с. lim
x-2 3(x-2)2
x+1
d. lim
X-3 (3-x)2
2- An efficiency study of the moming shift at a certain factory indicates that an average worker who arrives
on the job at 8:00 A.M. will have produced
Q(1) = -r + 61² + 241
units i hours later.
a. Compute the worker's rate of production at 11:00 A.M.
b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ?
3- A manufacturer determines that when x thousand units of a particular commodity are produced, the profit
generated will be
P(x) = -400x + 6,800x - 12,000
dollars. At what rate is profit changing with respect to the level of production x when 9,000 units are
produced?
Transcribed Image Text:1- Find the limits: V-1 lim a. 2x b. lim x- 0 3(x-2)2 2r3 с. lim x-2 3(x-2)2 x+1 d. lim X-3 (3-x)2 2- An efficiency study of the moming shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have produced Q(1) = -r + 61² + 241 units i hours later. a. Compute the worker's rate of production at 11:00 A.M. b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ? 3- A manufacturer determines that when x thousand units of a particular commodity are produced, the profit generated will be P(x) = -400x + 6,800x - 12,000 dollars. At what rate is profit changing with respect to the level of production x when 9,000 units are produced?
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