I need help with this whole problem really

Mathematics
Tutor: None Selected Time limit: 1 Day

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

Thank you for the opportunity to help you with your question!

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

=-1 Answer

C) tangent line equation

y-1=2x-1

Answer



Please let me know if you need any clarification. I'm always happy to answer your questions.
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
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