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math456
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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.
 2 years ago
 2 years ago
math456 Group Title
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.
 2 years ago
 2 years ago

This Question is Closed

math456 Group TitleBest ResponseYou've already chosen the best response.1
dw:1347078037836:dw
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Have you graphed the function yet?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
yea as the time increases the volume decreases!
 2 years ago

Hero Group TitleBest 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
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
y did u picked the time 20?
 2 years ago

Hero Group TitleBest 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?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay so i thought we hv to pick the closest point to 15
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
so is the slope 27.8?
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
I will assume you have calculated it correctly
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay so how do i find the other part of this question?
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Find the slope of Point PR
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Okay, now find the average of both both slopes
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
how? by subtracting them?
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
then dividing by 2
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
That's not what I got
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
like: 27.8(22.2)/2
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
No, not like that
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
great so this the slope of the tangent line at P!
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
It's an "estimate"
 2 years ago

math456 Group TitleBest 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?
 2 years ago

math456 Group TitleBest 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)
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
I would use rise over run to find the slope.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
u mean delta y/delta x?
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
hmm in this case how can I find my delta y/x values?
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
By using points on the tangent line. You have to find them for yourself.
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Actually, use the tangent line approxmation formula
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Well, that depends on how far along you are.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
like i can pick (15,250) ; (14.09, 249.99)
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
dw:1347079571561:dw
 2 years ago

Hero Group TitleBest 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
 2 years ago

Hero Group TitleBest 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
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
dw:1347079627933:dw something like this
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Yeah, something like that. But use graph paper.
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Use the good kind with the smaller squares.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay and after doing it lets say my values are 14.009 and 249.001
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
i just divide them out?
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
alright well thanks for your help. I appreciate it..
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Should I repeat the steps again?
 2 years ago

math456 Group TitleBest 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.!
 2 years ago

Hero Group TitleBest 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.
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
When I say draw tangent line, I mean a straight line using a ruler
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay, gotch ya..
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
dw:1347081039622:dw so this is how it looks like on my graph paper
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
dw:1347081239380:dw a lil more like this!
 2 years ago

Hero Group TitleBest 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.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
yea i am finding the values now. and i hope i found the precise one!
 2 years ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
You already know what it should be close to.
 2 years ago
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