My Math Forum 4 questions really need help with.

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 May 28th, 2012, 11:38 PM #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? Thanks from kingoffightr Last edited by skipjack; August 22nd, 2018 at 06:52 AM.
 May 29th, 2012, 11:39 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 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 point-slope 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: $\displaystyle m_{\tan}=\lim_{h\to0}m(h)=14$ Thanks from kingoffightr Last edited by skipjack; August 22nd, 2018 at 06:36 AM.
 May 29th, 2012, 02:13 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 06:37 AM.
 May 29th, 2012, 02:20 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 06:53 AM.
 May 29th, 2012, 03:11 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,204 Thanks: 511 Math Focus: Calculus/ODEs Re: 4 questions really need help with. Yes.
 May 29th, 2012, 03:40 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 06:54 AM.
 August 21st, 2018, 07:11 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 06:39 AM.
August 21st, 2018, 07:26 PM   #8
Senior Member

Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,204
Thanks: 511

Math Focus: Calculus/ODEs
Try this:

Quote:
 Originally Posted by MarkFL 1. The given line has slope -3, so use the perpendicular slope and the given point in the point-slope 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 06:38 AM.

 August 22nd, 2018, 07:22 AM #9 Global Moderator   Joined: Dec 2006 Posts: 19,542 Thanks: 1750 1. Another method would be to obtain the vector equation and deduce the required scalar equation from it. For questions 3 and 4, refer to here.

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