Find the missing piece 1. Find the equation of the tangent line to y =r at r = 1.Solution. To get the equation of the line, we needthe point P(ro, y0) and the slope m. We are onlygiven ro = 2. However, the y-coordinate of ro iseasy to find by substituting ro = 2 into y = r. Thisgives us yo = . Hence, P has the coordinatesNow, we look for the slope:y = r?lim -Y0= limPFinally, the equation of the tangent line with slopeand passing through Pmis 2. Find the slope-intercept form of thetangent line to f(z) = VE at z = 4.%3DVEBasic CalculusLesson 4 Page 4Solution. Again, we find the y-coordinate of ro = 4: yo =Hence, P hascoordinates (4, 2). Now, we look for the slope of the tangent line. Notice thatwe have to rationalize the numerator to evaluate the limit../(z)-/(ro)= limm= limlimlimFinally, with point Pland slope mthe equation of the tangent line isPage 6 10

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Description: Find the missing piece 1. Find the equation of the tangent line to y =r at r = 1.Solution. To get the equation of the line, we needthe point P(ro, y0) and the slope m. We are onlygiven ro = 2. However, the y-coordinate of ro iseasy to find by substit

General equation of line in slope intercept form is y=mx+c Where 'm' is slope and 'c' is y…

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Calculus

1. Find the equation of the tangent line to y = r at z = 1. Solution. To get the equation of the line, we need the point P(ro, y0) and the slope m. We are only given ro = 2. However, the y-coordinate of ro is easy to find by substituting ro 2 into y r. This gives us yo =. Hence, P has the coordinates Now, we look for the slope: y =r lim y-Yo = lim 220 I- ro P Finally, the equation of the tangent line with slope and passing through P is

1. Find the equation of the tangent line to y = r at z = 1. Solution. To get the equation of the line, we need the point P(ro, y0) and the slope m. We are only given ro = 2. However, the y-coordinate of ro is easy to find by substituting ro 2 into y r. This gives us yo =. Hence, P has the coordinates Now, we look for the slope: y =r lim y-Yo = lim 220 I- ro P Finally, the equation of the tangent line with slope and passing through P is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Find the missing piece

1. Find the equation of the tangent line to y =r at r = 1.
Solution. To get the equation of the line, we need
the point P(ro, y0) and the slope m. We are only
given ro = 2. However, the y-coordinate of ro is
easy to find by substituting ro = 2 into y = r. This
gives us yo = . Hence, P has the coordinates
Now, we look for the slope:
y = r?
lim -Y0
= lim
P
Finally, the equation of the tangent line with slope
and passing through P
m
is

2. Find the slope-intercept form of the
tangent line to f(z) = VE at z = 4.
%3D
VE
Basic Calculus
Lesson 4 Page 4
Solution. Again, we find the y-coordinate of ro = 4: yo =
Hence, P has
coordinates (4, 2). Now, we look for the slope of the tangent line. Notice that
we have to rationalize the numerator to evaluate the limit..
/(z)-/(ro)
= lim
m= lim
lim
lim
Finally, with point P
land slope m
the equation of the tangent line is
Page 6 10

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