BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.6, Problem 49E
To determine

The meaning of T'(10) and also the value of T'(10) .

Expert Solution

Explanation of Solution

Given information:

T(t) be the temperature in (°F) in Baltimore t hours after midnight.

The table shows values of functions recorded every two hours

    t02468101214
    T6865636365768591

Calculations:

Here T'(10) shows the slope of the tangent of the curve made by the function or rate of change of temperate with respect to time (in hours).

The slope of the tangent is given the formula,

  f'(x)=limh0f(x+h)f(x)h

  T'(10)=T(10)T(8)108=76652=112=5.5

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