The national debt of a South American country t years from now is predicted to be D(t)D'(8)1=Interpret your answer.The national debt is increasing ✓Find D'(8).D"(8) =Interpret your answer.byThe rate of growth of the national debt is increasing ✓= 70+ 18t billion dollars. Find D'(8).4/3X billion dollars per year after 8 years.byX billion dollars per year each year after 8 years.

Given that the national debt of a South American country t years from now is predicted to be…

Answered: The national debt of a South American…

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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Similar questions

A point is moving along the graph of x3y2 = 200. When the point is at (2, 5), its x-coordinate is changing at the rate of -4 units per minute. How fast is the y-coordinate changing at that moment?
At a certain instant, the radius of a right circular cylinder is 6 inches and is increasing at the rate 0.2 in/sec, while the altitude is 8 inches and is decreasing at the rate 0.4 in/sec. Find the time rate of change of volume.
water leaking onto a floor creates a circular pool with an area that increases at the rate of 3 square inches per minute. What would be the output if the 2nd derivative is negative?
2.) SUPPOSE THAT A TUMOR IN A PERSON'S BODY IS SPHERICAL IN SHAPE. IF WHEN THE RADIUS OF THE TUMOR IS 0.5 cm, THE RADIUS IS INCREASING AT THE RATE OF 0.001 cm per day, WHAT IS THE RATE OF INCREASE Of THE VOLUME OF THE TUMOR AT THAT TIME?
A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the value of the quantity after 1.2 minutes
At a certain instant the radius of a right circular cylinder is 6 inches and is increasing at the rate of 0.2 inch per second, while the altitude is 8 inches and is decreasing at the rate of 0.4 inch per second. Find the time rate of change of the surface area, in square cm per second at that instant.
A.) A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the balloon’s radius decreasing when the radius is 5 inches? B.) A rectangle’s length is growing at 3 inches per second, while its width is shrinking at 5 inches per second. How fast is its area changing when its length is 7 inches and its width is 4 inches? Is the area growing or shrinking?
Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =
If a pesticide released during a dawn (6 am) crop spraying event is present at 55 mg/L in a pond beside the farmer’s field, and the concentration is 41 mg/L at 11 am, 27.5 mg/L at 6 pm, midnight, 14 mg/L at 6 am the next day. What is the rate constant for the degradation of this pesticide? I already asked this question and someone answered it, but they did not show how they got the rate constant. Please show the math so I can understand the process.

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