Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³ + cos x + 1 cos x + 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement**

Let \( f''(x) = 6x - \sin x \).

Given: 
\[ f'(0) = 1, \, f(0) = 2 \]

Find \( f(x) \).

**Options**

1. \( x^3 - \cos x + 3 \)
2. \( x^3 + \sin x + 2 \)
3. \( x^3 - \sin x + 2 \)
4. \( x^3 + \cos x + 1 \)

**Objective**

Choose the correct function \( f(x) \) that satisfies the given conditions.
Transcribed Image Text:**Problem Statement** Let \( f''(x) = 6x - \sin x \). Given: \[ f'(0) = 1, \, f(0) = 2 \] Find \( f(x) \). **Options** 1. \( x^3 - \cos x + 3 \) 2. \( x^3 + \sin x + 2 \) 3. \( x^3 - \sin x + 2 \) 4. \( x^3 + \cos x + 1 \) **Objective** Choose the correct function \( f(x) \) that satisfies the given conditions.
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