1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined on the interval [1,4]. f(x) dx . Round your answer to 2 decimal places.
1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined on the interval [1,4]. f(x) dx . Round your answer to 2 decimal places.
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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![1) Consider the function \( f(x) = 5x^2 - 4x + 7 \) defined on the interval \([1,4]\).
Find a number \( c \) in the domain such that
\[
f(c) = \frac{1}{3} \int_{1}^{4} f(x) \, dx
\]
Round your answer to **2 decimal places**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02c8dc93-8b6f-4993-a985-0ce320a356a6%2F439e326f-4e46-44d3-a05a-2b39ca39f55f%2F75ka9ou_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Consider the function \( f(x) = 5x^2 - 4x + 7 \) defined on the interval \([1,4]\).
Find a number \( c \) in the domain such that
\[
f(c) = \frac{1}{3} \int_{1}^{4} f(x) \, dx
\]
Round your answer to **2 decimal places**.
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