Let A(x) | f(t)dt where f is the function given by the graph below. 4 -1 1 2 3 6 -1 -2 -3 -4+ i. A(4) = %3D ii. A'(4) =

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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**Transcription for Educational Website:**

Let \( A(x) = \int_{0}^{x} f(t) \, dt \) where \( f \) is the function given by the graph below.

[Graph Description: The graph is a piecewise linear function plotted on a coordinate plane. The x-axis ranges from 0 to 7, and the y-axis ranges from -4 to 4. The function starts at point (0,0), increases linearly to (4, 2), then decreases linearly to (6, -3), and remains constant thereafter.]

**Questions:**

i. \( A(4) = \) [Provide answer here]

ii. \( A'(4) = \) [Provide answer here]
Transcribed Image Text:**Transcription for Educational Website:** Let \( A(x) = \int_{0}^{x} f(t) \, dt \) where \( f \) is the function given by the graph below. [Graph Description: The graph is a piecewise linear function plotted on a coordinate plane. The x-axis ranges from 0 to 7, and the y-axis ranges from -4 to 4. The function starts at point (0,0), increases linearly to (4, 2), then decreases linearly to (6, -3), and remains constant thereafter.] **Questions:** i. \( A(4) = \) [Provide answer here] ii. \( A'(4) = \) [Provide answer here]
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