Consider the following function. f"(0) = sin(0) + cos(0) Find f' if f'(0) = 2. f'(0) = %3D Find f if f'(0) = 2 and f(0) = 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 Description

Consider the following function:

\[ f''(\theta) = \sin(\theta) + \cos(\theta) \]

### Task 1

Find \( f' \) if \( f'(0) = 2 \).

\[ f'(\theta) = \underline{\hspace{50px}} \]

### Task 2

Find \( f \) if \( f'(0) = 2 \) and \( f(0) = 3 \).

\[ f(\theta) = \underline{\hspace{50px}} \]
Transcribed Image Text:### Problem Description Consider the following function: \[ f''(\theta) = \sin(\theta) + \cos(\theta) \] ### Task 1 Find \( f' \) if \( f'(0) = 2 \). \[ f'(\theta) = \underline{\hspace{50px}} \] ### Task 2 Find \( f \) if \( f'(0) = 2 \) and \( f(0) = 3 \). \[ f(\theta) = \underline{\hspace{50px}} \]
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