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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.2, Problem 44E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Response to adrenalin Experimental evidence suggests that the response y of the body to the concentration x of injected adrenalin is given by

y = x a + b x where a and b are experimental constants.

(a) Is this function continuous for all x?

(b) On the basis of your conclusion in part (a) and the fact that in the context of the application x ≥   0  and  y ≥   0 , must a and b both be positive, both be negative, or have opposite signs?

(a)

To determine

Whether the function, y=xa+bx, is continuous for all values of x, where x is the concentration of injected adrenalin if the experimental evidence shows that the response of the body to the concentration of drugs injected in the body

Explanation

Given Information:

The function, y=xa+bx, where a and b are experimental constants.

Explanation:

Consider the provided function,

y=xa+bx

Since, the function is a rational function, thus, the function will be continuous at all points except the points where the value of the denominator is zero.

Thus, the point of discontinuity is found by equating the denominator to zero

(b)

To determine

The value of a and b, for the concentration of x in the blood to be positive and the answer to part (a) holds true the experimental evidence shows that the response of the body to the concentration of drugs injected in the body.

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Chapter 9.2,
Problem 43E
Chapter 9.2,
Problem 45E
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