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October 19, 2025, 08:19:30 pm
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Author Topic: Stark's Method Qs  (Read 4148 times)  Share 

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MrsStark

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Stark's Method Qs
« on: January 29, 2015, 05:26:09 pm »
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hey ! so this is probs easy but I it don't get it atm

x/(a-b) + 2x/(a+b) = 1/ (a^2 - b^2)

If you can help me, thanks so much!
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MrsStark

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Re: Stark's Method Qs
« Reply #1 on: January 29, 2015, 05:27:32 pm »
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solve for x
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brightsky

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Re: Stark's Method Qs
« Reply #2 on: January 29, 2015, 05:29:19 pm »
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Compare the two fractions, and you will see that .
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MrsStark

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Re: Stark's Method Qs
« Reply #3 on: January 29, 2015, 05:49:07 pm »
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Quote from: brightsky on January 29, 2015, 05:29:19 pm


Compare the two fractions, and you will see that .

Thank you :)
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MrsStark

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Re: Stark's Method Qs
« Reply #4 on: February 01, 2015, 12:08:44 pm »
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solve for x:
p^2(1-x) - 2pqx= q^2(1+x)

solve for x:

(p-qx)/t + p = (qx-t)/p
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Hutchoo

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Re: Stark's Method Qs
« Reply #5 on: February 01, 2015, 01:03:48 pm »
+1
Quote from: MrsStark on February 01, 2015, 12:08:44 pm
solve for x:
p^2(1-x) - 2pqx= q^2(1+x)

solve for x:

(p-qx)/t + p = (qx-t)/p

I tend to find these questions annoying because they're so easy to screw up! It's just a bunch of messy algebra. I suggest you try the first one yourself, but I will do the second one for you.

Solve for x:



Now expand:


Multiply both sides by :


Collate like terms:


Simplify and solve:



Hopefully I didn't make any silly algebra mistakes.
« Last Edit: February 01, 2015, 01:05:35 pm by Hutchoo »
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MrsStark

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Re: Stark's Method Qs
« Reply #6 on: February 01, 2015, 09:36:48 pm »
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Quote from: Hutchoo on February 01, 2015, 01:03:48 pm
I tend to find these questions annoying because they're so easy to screw up! It's just a bunch of messy algebra. I suggest you try the first one yourself, but I will do the second one for you.

Solve for x:



Now expand:


Multiply both sides by :


Collate like terms:


Simplify and solve:



Hopefully I didn't make any silly algebra mistakes.

Yeah I hate these qs too lol its simple but easy to mess up I know !!
Yup, I tried the first one again and I got it yay!
 Thanks for helping! and no I don't think you made any mistakes :)

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Hutchoo

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Re: Stark's Method Qs
« Reply #7 on: February 01, 2015, 10:22:57 pm »
+1
Glad I could help!
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MrsStark

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Re: Stark's Method Qs
« Reply #8 on: March 10, 2015, 10:03:43 pm »
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Revising for my functions sac and stumbled on this question!

The cost of a taxi trip in a particular city is $4 up to and including 2km. After 2km the passenger pays an additional $2 per km. find the function f which describes this method of payment and sketch the graph of y= f(x), where x is the number of km travelled ( use a continuous model)

okay so you don't have to draw the graph for me but I have trouble with worded questions and don't get how the function is derived
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keltingmeith

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Re: Stark's Method Qs
« Reply #9 on: March 10, 2015, 10:13:45 pm »
+1
Quote from: MrsStark on March 10, 2015, 10:03:43 pm
Revising for my functions sac and stumbled on this question!

The cost of a taxi trip in a particular city is $4 up to and including 2km. After 2km the passenger pays an additional $2 per km. find the function f which describes this method of payment and sketch the graph of y= f(x), where x is the number of km travelled ( use a continuous model)

okay so you don't have to draw the graph for me but I have trouble with worded questions and don't get how the function is derived

Let x=number of kilometres travelled, then f(x) describes how much the person owes per kilometre.

For the first 2km, f(x)=4 (hopefully easy to see). After that, f(x) will raise $2 per kilometre, so it will be f(x)=2x+4 - BUT, we must remember to take off the 2 kilometres already travelled, giving us f(x)=2(x-2)+4=2x-4+4=2x

So, we get:

f(x)=4, 0<=x<2
f(x)=2x, x>=2

You should write this as a proper hybrid function.
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MrsStark

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Re: Stark's Method Qs
« Reply #10 on: March 15, 2015, 07:02:18 pm »
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How do you find the inverse of a 3 x 3 matrix using the cas? it doesn't really show it in my textbook..
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keltingmeith

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Re: Stark's Method Qs
« Reply #11 on: March 15, 2015, 07:08:53 pm »
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Quote from: MrsStark on March 15, 2015, 07:02:18 pm
How do you find the inverse of a 3 x 3 matrix using the cas? it doesn't really show it in my textbook..

Just put it to the power of -1.
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MrsStark

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Re: Stark's Method Qs
« Reply #12 on: March 15, 2015, 07:13:09 pm »
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Quote from: EulerFan101 on March 15, 2015, 07:08:53 pm
Just put it to the power of -1.

 yeah I have been but I get a strange answer :s according to the back of the book answers its wrong.. don't know whats up with that..
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keltingmeith

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Re: Stark's Method Qs
« Reply #13 on: March 15, 2015, 07:17:26 pm »
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Put the matrix here, I'll tell you what the inverse should be and we'll compare to the book. Book could be wrong.
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MrsStark

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Re: Stark's Method Qs
« Reply #14 on: March 15, 2015, 07:28:41 pm »
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Quote from: EulerFan101 on March 15, 2015, 07:17:26 pm
Put the matrix here, I'll tell you what the inverse should be and we'll compare to the book. Book could be wrong.

figured it out, my book is secondhand and its been written on and rubbed with rubber and  I just misread a number -.- oh dear. I got the answer its all good, thank you for wanting to help :)
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