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May 29th, 2012, 12:38 AM   #1
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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 07:52 AM.
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May 29th, 2012, 12:39 PM   #2
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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:

$\displaystyle m_{\tan}=\lim_{h\to0}m(h)=14$
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Last edited by skipjack; August 22nd, 2018 at 07:36 AM.
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May 29th, 2012, 03:13 PM   #3
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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.
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May 29th, 2012, 03:20 PM   #4
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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.
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May 29th, 2012, 04:11 PM   #5
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Re: 4 questions really need help with.

Yes.
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May 29th, 2012, 04:40 PM   #6
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Re: 4 questions really need help with.

Thank you, sir.

Last edited by skipjack; August 22nd, 2018 at 07:54 AM.
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August 21st, 2018, 08:11 PM   #7
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I can't see the pictures. I need help on 3 and 4.

Last edited by skipjack; August 22nd, 2018 at 07:39 AM.
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August 21st, 2018, 08:26 PM   #8
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Try this:

Quote:
Originally Posted by MarkFL View Post
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 greg1313

Last edited by skipjack; August 22nd, 2018 at 07:38 AM.
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August 22nd, 2018, 08:22 AM   #9
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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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