May 29th, 2012, 12:38 AM  #1 
Member Joined: Apr 2012 Posts: 78 Thanks: 3  4 questions really need help with.
1. The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, 3) through the point (2, 2) is = 2. For the points A(1, 5, 7) and B(3, 0, 1) vector AC has coordinates = 3. The following table summarizes the calculation of the slope of a series of secants of the function $y = f(x)$ Write an expression that can be used to generalize the calculation of this average rate of change. untitled131231.JPG 4. For the table given in question above, what is the slope of the tangent approximated by these secants? Last edited by skipjack; August 22nd, 2018 at 07:52 AM. 
May 29th, 2012, 12:39 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs  Re: 4 questions really need help with.
1. The given line has slope 3, so use the perpendicular slope and the given point in the pointslope formula to determine the scalar equation of the requested line. 2. Did you mean to find the coordinates of vector AB? 3. If we let: $\displaystyle Q=P+h$ then we have: $\displaystyle m(h)=\frac{f(P+h)f(P)}{h}$ 4. From the table, it appears we have: $\displaystyle m_{\tan}=\lim_{h\to0}m(h)=14$ Last edited by skipjack; August 22nd, 2018 at 07:36 AM. 
May 29th, 2012, 03:13 PM  #3 
Member Joined: Apr 2012 Posts: 78 Thanks: 3  Re: 4 questions really need help with.
2. I guess it's supposed to say AB. It's probably a typo on the paper. Sorry.
Last edited by skipjack; August 22nd, 2018 at 07:37 AM. 
May 29th, 2012, 03:20 PM  #4 
Member Joined: Apr 2012 Posts: 78 Thanks: 3  Re: 4 questions really need help with.
Wouldn't #2 be (2, 5, 8) ?
Last edited by skipjack; August 22nd, 2018 at 07:53 AM. 
May 29th, 2012, 04:11 PM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs  Re: 4 questions really need help with.
Yes.

May 29th, 2012, 04:40 PM  #6 
Member Joined: Apr 2012 Posts: 78 Thanks: 3  Re: 4 questions really need help with.
Thank you, sir.
Last edited by skipjack; August 22nd, 2018 at 07:54 AM. 
August 21st, 2018, 08:11 PM  #7 
Newbie Joined: Aug 2018 From: Canada Posts: 2 Thanks: 0 
I can't see the pictures. I need help on 3 and 4.
Last edited by skipjack; August 22nd, 2018 at 07:39 AM. 
August 21st, 2018, 08:26 PM  #8  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs 
Try this: Quote:
Last edited by skipjack; August 22nd, 2018 at 07:38 AM.  

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