x + 2 For the function y = at (3, 1), find the following. (Give exact answers. Do not round x + 8 (a) the slope of the tangent line 0.4545 Enter an exact value instead of a rounded value. (b) the instantaneous rate of change of the function 0.4545 Enter an exact value instead of a rounded value.

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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For the function \( y = \frac{x^2 + 2}{x + 8} \) at \((3, 1)\), find the following. (Give exact answers. Do not round.)

(a) The slope of the tangent line  
Input: 0.4545 ❌  
Feedback: Enter an exact value instead of a rounded value.

(b) The instantaneous rate of change of the function  
Input: 0.4545 ❌  
Feedback: Enter an exact value instead of a rounded value.
Transcribed Image Text:For the function \( y = \frac{x^2 + 2}{x + 8} \) at \((3, 1)\), find the following. (Give exact answers. Do not round.) (a) The slope of the tangent line Input: 0.4545 ❌ Feedback: Enter an exact value instead of a rounded value. (b) The instantaneous rate of change of the function Input: 0.4545 ❌ Feedback: Enter an exact value instead of a rounded value.
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