# I need help with this whole problem really

label Mathematics
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The point P(1,3) lies on the graph f(x)=x^2+x+1. Consider the point Q(x,f(x)) on the graph f, and let mpq be the slope of the secant line through the points P and Q.

a) find the equation for mpq

b) find limit as x approaches 1 for mpq. What does this limit mean in the context of this problem?

c) Find the equations of the tangent line and the normal line through the point P(1,3)

Sep 13th, 2015

According to given question

A)equation for mPQ=x^2+x+1-1/x-3

mPQ=x(x+1)/x-3

B) Limit x_1 x(x+1)/x-3

C) tangent line equation

y-1=2x-1

Sep 13th, 2015

Thank you so much for your help! My first question is on part a, wouldn't the 1 and the 3 be flip flopped? (under the impression that we are using the (y2-y1)/(x2-x1) equation), because I keep ending up with (x+2) Secondly, about the question at the end of part b, what is that even asking? And thirdly, on part c, what is the "normal line equation"? Thank you again for all your help!

Sep 13th, 2015

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Sep 13th, 2015
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Sep 13th, 2015
Nov 22nd, 2017
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