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September 23, 2025, 02:20:58 am
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Author Topic: TyErd's questions  (Read 42310 times)  Share 

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the.watchman

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Re: TyErd's questions
« Reply #30 on: April 24, 2010, 05:13:12 pm »
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Well,



Noting that







So



Here you go!

EDIT: Be careful when limiting solutions, I find it safest to write the ineqn process like above, particularly for ones that are more complicated :)
« Last Edit: April 24, 2010, 05:18:23 pm by the.watchman »
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Blakhitman

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Re: TyErd's questions
« Reply #31 on: April 24, 2010, 05:16:10 pm »
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Yep, except watchman began adding pies unnecessarily. lol
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the.watchman

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Re: TyErd's questions
« Reply #32 on: April 24, 2010, 05:18:50 pm »
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Quote from: Blakhitman on April 24, 2010, 05:16:10 pm
Yep, except watchman began adding pies unnecessarily. lol

Lol, edited ;D
That's what happens when you copy LaTeX code everywhere...
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TyErd

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Re: TyErd's questions
« Reply #33 on: April 24, 2010, 05:36:22 pm »
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thankyou I found where I made my mistake I did 0-2 = 0. LOL stupid me. thanks guys.
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the.watchman

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Re: TyErd's questions
« Reply #34 on: April 24, 2010, 05:37:29 pm »
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Quote from: TyErd on April 24, 2010, 05:36:22 pm
thankyou I found where I made my mistake I did 0-2 = 0. LOL stupid me. thanks guys.

No probs, always happy to help :)

(Oh congrats on becoming a VN contributor :D)
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TyErd

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Re: TyErd's questions
« Reply #35 on: April 24, 2010, 05:41:22 pm »
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yayyyyyyyy its funny though because i've mainly been getting help from people not really contributing :)
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TyErd

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Re: TyErd's questions
« Reply #36 on: April 24, 2010, 05:46:53 pm »
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oh another important question about inequalities, when is it that you switch the inequality. Is it when you times or divide by a negative number?
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superflya

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Re: TyErd's questions
« Reply #37 on: April 24, 2010, 05:51:41 pm »
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^ both.
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TyErd

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Re: TyErd's questions
« Reply #38 on: April 24, 2010, 05:54:33 pm »
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ok thnx
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TyErd

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Re: TyErd's questions
« Reply #39 on: April 24, 2010, 06:01:50 pm »
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do I substitute 2x into x of g(x) and then proceed to solve for x or do I multiple g(x) by 2 and then find x?
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Damo17

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Re: TyErd's questions
« Reply #40 on: April 24, 2010, 06:21:44 pm »
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Quote from: TyErd on April 24, 2010, 06:01:50 pm


do I substitute 2x into x of g(x) and then proceed to solve for x or do I multiple g(x) by 2 and then find x?

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TyErd

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Re: TyErd's questions
« Reply #41 on: April 24, 2010, 07:06:24 pm »
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okay a worded question. A capsule is formed from a cone, a cylinder and a hemisphere. The height of the capsule is 60cm. The radius of the cylinder is r cm and the height of the cone is r cm.

Find the volume of the capsule in terms of r which I calculated to be

State the maximal domain of the function.
« Last Edit: April 24, 2010, 07:25:41 pm by TyErd »
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brightsky

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Re: TyErd's questions
« Reply #42 on: April 24, 2010, 07:15:23 pm »
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The restriction is the height of the capsule, or else (theoretically). So , where cm  is the height of the cone. Hence . The lowest can get is 0 cm, hence .

Not too sure on this one though...
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TyErd

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Re: TyErd's questions
« Reply #43 on: April 24, 2010, 07:27:06 pm »
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why do you have to know the lowest h can get?
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the.watchman

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Re: TyErd's questions
« Reply #44 on: April 24, 2010, 07:48:51 pm »
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The maximal domain is (0,30) (I think your volume equation looks odd, but I haven't checked it)

This is because of two reasons:

1. COMMON SENSE: The volume cannot be equal to zero and must be positive, so by looking at the intercepts of the graph, you SHOULD get (0,30)

2. The limiting information is that the height of the whole capsule is 60cm. This means that you have your eqn

So note that, as r increases, h decreases and vice versa
The two extremes of r are when r=0, or when h=0 <=> r=30
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