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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

WEISS’S LAW According to Weiss’s law of excitation of tissue, the strength S of an electric current is related to the time t the current takes to excite tissue by the formula

S ( t ) = a t + b (t > 0)

where a and b are positive constants.

  1. a. Evaluate lim t 0 + S ( t ) and interpret your result.
  2. b. Evaluate lim t S ( t ) and interpret your result.

(Note: The limit in pan (b) is called the threshold strength of the current. Why?)

(a)

To determine
The value of right limit for the given function and interpret the result.

Explanation

Given information:

The relation between the strength of an electric current and time to excite the tissue is given by,

S(t)=at+b(t>0)

Where,

  • aandb are positive constants.
  • S is the strength of an electric current.
  • t is the time.

Calculation:

The given function is S(t)=at+b .

Apply the right hand limit on both sides of the above function for t tends to 0

(b)

To determine
The value of the limit for the given function and interpret the result.

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