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(b) but ше ONO:2 Point of tangent is P(-13²/1/2) For the slope we need two points. here only one point is given So cannot use algebra to find the slope.

(b) but ше ONO:2 Point of tangent is P(-13²/1/2) For the slope we need two points. here only one point is given So cannot use algebra to find the slope.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 Here again, is the first graphic from the previous page. y = f(x) P(-1) Part a) Use algebra to find the slope of the secant line or explain why you cannot use algebra to find the slope. Part b) Use algebra to find the slope of the tangent line or explain why you cannot use algebra to find the slope. Question 2 Q Below is the second graphic from the previous page along with the defnition of a secant line and the definition of a tangent line. Use the definitions to explain how the green dotted line can be both a secant line and a tangent line. Q(4.8) not tangent tangent y = f(x) Definition of a Secant Line Secant is a Latin word that means to cut. Asecant ind to a curve cuts for intersects) the Definition of a Tangent Line Tangent is a Latin word that means "bo koud curve at P but does not cut through the cur J two points. curve at the point line that touches the
Transcribed Image Text:Question 1 Here again, is the first graphic from the previous page. y = f(x) P(-1) Part a) Use algebra to find the slope of the secant line or explain why you cannot use algebra to find the slope. Part b) Use algebra to find the slope of the tangent line or explain why you cannot use algebra to find the slope. Question 2 Q Below is the second graphic from the previous page along with the defnition of a secant line and the definition of a tangent line. Use the definitions to explain how the green dotted line can be both a secant line and a tangent line. Q(4.8) not tangent tangent y = f(x) Definition of a Secant Line Secant is a Latin word that means to cut. Asecant ind to a curve cuts for intersects) the Definition of a Tangent Line Tangent is a Latin word that means "bo koud curve at P but does not cut through the cur J two points. curve at the point line that touches the
QNO:1 не у) 42 92 P(-1, 1) and (4,8) (6) Slope of Secant line = m = m = 8-1 4-(-1) 46-1 2 5 y₂-yı N₂-X1 = 15 10 = 1.5 Point of tangent is P(-1/2) For the slope we need two points here only one point is given So but we cannot use algebra to find the slape. QNO:2
Transcribed Image Text:QNO:1 не у) 42 92 P(-1, 1) and (4,8) (6) Slope of Secant line = m = m = 8-1 4-(-1) 46-1 2 5 y₂-yı N₂-X1 = 15 10 = 1.5 Point of tangent is P(-1/2) For the slope we need two points here only one point is given So but we cannot use algebra to find the slape. QNO:2
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