Mathematics, 29.10.2020 18:00 sammamamam7905

Please someone help its calculus and i need #2! Its finding instantaneous rate of change!

Answers: 3

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Answers

Answer from: milkshakegrande101

$\displaystyle 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Derivatives

Derivative Notation

Instantons Rate of Change

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x² + x - 1

x = 1

Step 2: Find Change

Substitute in variables [Instantaneous Rate of Change]: $\displaystyle \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1}$ Substitute in function: $\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - [2(1)^2 + 1 - 1]}{x - 1}$ Simplify: $\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - 2}{x - 1}$ Combine like terms: $\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 3}{x - 1}$ Factor: $\displaystyle \lim_{x \to 1} \frac{(x - 1)(2x + 3)}{x - 1}$ Simplify: $\displaystyle \lim_{x \to 1} (2x + 3)$ Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle 2(1) + 3$ Simplify: $\displaystyle 5$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer from: Quest

The answer is that the rate of change is $50 per 1 monthhope this ; )

Answer from: Quest

step-by-step explanation:

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