Answer:
In the picture
Step-by-step explanation:
I hope that it's a clear solution.
The graph shows the relationship between James’s resting heart rate and the number of hours he exercises per day. For every hour
of exercise, James’s resting heart rate decreases by about (1,5,15,20) beats per minute. His resting heart rate is about (50.5, 70, 77.5,82.5) beats per minute when he exercises 4 1/2 hours a day.
2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Exponential Rule [Root Rewrite]:
- Exponential Rule [Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Implicit Differentiation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
Point (1, 4)
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- [Implicit Differentiation] Basic Power Rule:
- [Implicit Differentiation] Simplify Exponents:
- [Implicit Differentiation] Rewrite [Exponential Rule - Rewrite]:
- [Implicit Differentiation] Isolate <em>y</em> terms:
- [Implicit Differentiation] Isolate
:
- [Implicit Differentiation] Simplify:
<u>Step 3: Evaluate</u>
- Substitute in point [Derivative]:
- Exponents:
- Division:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e