Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0, 0). Fill in the blanks in parts (a) and (b). (a) How many tangent lines to the graph of y = x -7 x+ 49 pass through the origin (0, 0)? (Please input a number, not the word for the number.) The number of tangent lines that pass through (0, 0) is (b) List the slope-intercept form for the equation(s) of the tangent line(s) to the graph of y =x -7 x+49 that pass through (0, 0). Please put a comma between multiple equations, if needed. If there are no tangent lines that pass through (0, 0). then enter NONE. The equation(s) of the tangent lines that pass through (0, 0) is/are.

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...
Question
Find the equations of all tangent lines to the graph of y = x - 7 x+ 49 that pass through the origin (0, 0).
Fill in the blanks in parts (a) and (b).
(a) How many tangent lines to the graph of y =x -7 x+49 pass through the origin (0, 0)? (Please input a number, not the word for the number.)
The number of tangent lines that pass through (0, 0) is
(b) List the slope-intercept form for the equation(s) of the tangent line(s) to the graph of y =x -7 x+49 that pass through (0, 0). Please put a comma between multiple equations, if needed. If there are no tangent lines that pass through (0, 0),
then enter NONE.
The equation(s) of the tangent lines that pass through (0, 0) is/are
Transcribed Image Text:Find the equations of all tangent lines to the graph of y = x - 7 x+ 49 that pass through the origin (0, 0). Fill in the blanks in parts (a) and (b). (a) How many tangent lines to the graph of y =x -7 x+49 pass through the origin (0, 0)? (Please input a number, not the word for the number.) The number of tangent lines that pass through (0, 0) is (b) List the slope-intercept form for the equation(s) of the tangent line(s) to the graph of y =x -7 x+49 that pass through (0, 0). Please put a comma between multiple equations, if needed. If there are no tangent lines that pass through (0, 0), then enter NONE. The equation(s) of the tangent lines that pass through (0, 0) is/are
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