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a) If P is the point (15,250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t=5,10,20,25 & 30; a) Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.
 one year ago
 one year ago
a) If P is the point (15,250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t=5,10,20,25 & 30; a) Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.
 one year ago
 one year ago

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HeroBest ResponseYou've already chosen the best response.1
Have you graphed the function yet?
 one year ago

math456Best ResponseYou've already chosen the best response.1
yea as the time increases the volume decreases!
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Okay, so where are you stuck with this? You have two points P = (15,250) and Q = (20, 111). Use the slope formula and find the slope of PQ
 one year ago

math456Best ResponseYou've already chosen the best response.1
y did u picked the time 20?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Because it is the next point P = (15,250) Q = (20,111) R = (25,28) Get it?
 one year ago

math456Best ResponseYou've already chosen the best response.1
okay so i thought we hv to pick the closest point to 15
 one year ago

math456Best ResponseYou've already chosen the best response.1
so is the slope 27.8?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I will assume you have calculated it correctly
 one year ago

math456Best ResponseYou've already chosen the best response.1
okay so how do i find the other part of this question?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Find the slope of Point PR
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Okay, now find the average of both both slopes
 one year ago

math456Best ResponseYou've already chosen the best response.1
how? by subtracting them?
 one year ago

math456Best ResponseYou've already chosen the best response.1
great so this the slope of the tangent line at P!
 one year ago

math456Best ResponseYou've already chosen the best response.1
lastly how do i use a graph of the function to estimate the slope of the tangent line at P?
 one year ago

math456Best ResponseYou've already chosen the best response.1
(This slope represents the rate at which the water is flowing form the tank after 15 mins)
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I would use rise over run to find the slope.
 one year ago

math456Best ResponseYou've already chosen the best response.1
u mean delta y/delta x?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I don't know what kind of answer they expect from you however. Yes, delta y/delta x if you want to say it that way.
 one year ago

math456Best ResponseYou've already chosen the best response.1
hmm in this case how can I find my delta y/x values?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
By using points on the tangent line. You have to find them for yourself.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Actually, use the tangent line approxmation formula
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Well, that depends on how far along you are.
 one year ago

math456Best ResponseYou've already chosen the best response.1
like i can pick (15,250) ; (14.09, 249.99)
 one year ago

HeroBest ResponseYou've already chosen the best response.1
On second thought, you don't need tangent line approximation formula. You just need graph paper, really.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Graph the points on graph paper, draw a smooth curve through them, then take a ruler and draw a tangent line through point P and through the xaxis
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Then you will have two points on the tangent line. Use those two points to find the slope
 one year ago

math456Best ResponseYou've already chosen the best response.1
dw:1347079627933:dw something like this
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Yeah, something like that. But use graph paper.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Use the good kind with the smaller squares.
 one year ago

math456Best ResponseYou've already chosen the best response.1
okay and after doing it lets say my values are 14.009 and 249.001
 one year ago

math456Best ResponseYou've already chosen the best response.1
i just divide them out?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I just told you what to do. Now you have just came up with random values that don't mean anything.
 one year ago

math456Best ResponseYou've already chosen the best response.1
alright well thanks for your help. I appreciate it..
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Should I repeat the steps again?
 one year ago

math456Best ResponseYou've already chosen the best response.1
no its fine thank you once i come up with the accurate values i will ask u again.!
 one year ago

HeroBest ResponseYou've already chosen the best response.1
1. Get some graph paper 2. Plot the points you were given on an xy plane 3. Draw a smooth curve through them 4. Draw a tangent line through point P and the xaxis 5. Take those two points and find the slope of the tangent line.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
When I say draw tangent line, I mean a straight line using a ruler
 one year ago

HeroBest ResponseYou've already chosen the best response.1
If your line goes through the yaxis, you can use that too. Try to set up your xy axes in a way where your points are convenient to calculate.
 one year ago

math456Best ResponseYou've already chosen the best response.1
dw:1347081039622:dw so this is how it looks like on my graph paper
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Well, you can't really draw the line without a curve. That's why you need the other points AND the curve drawn through them first.
 one year ago

math456Best ResponseYou've already chosen the best response.1
dw:1347081239380:dw a lil more like this!
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Well, I'm sure you're getting the hang of it. All you have to do is find a point on the line that goes through one of the intersections on the graph paper and use that point as your second point for a more accurate measure of slope. It's a pretty intuitive thing if you know what you're doing.
 one year ago

math456Best ResponseYou've already chosen the best response.1
yea i am finding the values now. and i hope i found the precise one!
 one year ago

HeroBest ResponseYou've already chosen the best response.1
You already know what it should be close to.
 one year ago
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