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math456
 3 years 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.
math456
 3 years 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.

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Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Have you graphed the function yet?

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Okay, 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

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

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

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

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

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Find the slope of Point PR

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

math456
 3 years ago
Best ResponseYou've already chosen the best response.1how? by subtracting them?

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

math456
 3 years ago
Best ResponseYou've already chosen the best response.1lastly how do i use a graph of the function to estimate the slope of the tangent line at P?

math456
 3 years ago
Best 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)

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

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1I 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.

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

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

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

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

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

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Graph 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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Then you will have two points on the tangent line. Use those two points to find the slope

math456
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1347079627933:dw something like this

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Use the good kind with the smaller squares.

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

math456
 3 years ago
Best ResponseYou've already chosen the best response.1i just divide them out?

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

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Should I repeat the steps again?

math456
 3 years ago
Best ResponseYou've already chosen the best response.1no its fine thank you once i come up with the accurate values i will ask u again.!

Hero
 3 years ago
Best ResponseYou've already chosen the best response.11. 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.

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1If 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.

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Well, 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.

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

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Well, 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.

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

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