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?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98aca413-88cd-434e-9a38-7f8c865d74f3%2Fa2d75fa7-3e08-4744-9c30-f84348dddeb3%2F42wigg_processed.jpeg&w=3840&q=75)
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98aca413-88cd-434e-9a38-7f8c865d74f3%2Fa2d75fa7-3e08-4744-9c30-f84348dddeb3%2Fhg4l11_processed.jpeg&w=3840&q=75)
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