Cambridge Prelim MX1 Textbook Marathon/Q&A (3 Viewers)

[dlau]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Could someone please help me with q19 part a and b

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[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Could someone please help me with q19 part a and b

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Do you happen to have the answer? Just want to compare my answer with the question

 

[Drongoski]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Do you happen to have the answer? Just want to compare my answer with the question

You have the book!

 

[dlau]

Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Do you happen to have the answer? Just want to compare my answer with the question

Hey NOPE, it's a show question so there's no solutions. How did you draw the diagram? The answer is basically what you had to show. No worked solutions unfortunately.

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

You have the book!

Im at work at the moment, I left the book at home.

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Could someone please help me with q19 part a and b

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I had a crack at that question tonight, happy to receive any feedback from any forumites.

I thought of a basic example like a dice at the vertical distances , with the angles to the horizontal and vertical.

Knowing that each length of a cube in this case is 'x', i then converted the AB component to a vertical length (using sine). I also did the same thing for vertex, P. Because it is a 3D shape, I converted the diagonal distance, to a vertical component as well. (using cos)

Here is my diagram:



(My pencil marks show the respective vertical components)

 

[dlau]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

I had a crack at that question tonight, happy to receive any feedback from any forumites.

I thought of a basic example like a dice at the vertical distances , with the angles to the horizontal and vertical.

Knowing that each length of a cube in this case is 'x', i then converted the AB component to a vertical length (using sine). I also did the same thing for vertex, P. Because it is a 3D shape, I converted the diagonal distance, to a vertical component as well. (using cos)

Here is my diagram:



(My pencil marks show the respective vertical components)

Could u please show working for converting AB into vertical components. I'm not sure how u did that.

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Here is my working out for vertical component AB.

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Its been a while since I have dealt with forces down an inclined plane . (Physics was not my forte)

But you could relate to that if it helps you out, here is an image of an object down an inclined plane. (and the angles involved)

 

[dlau]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

How come vertical heigh equals opposite length + adjacent length


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[dlau]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Is that part related to the physics diagram?


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[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

How come vertical heigh equals opposite length + adjacent length


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Like I said before its a 3D shape so , how I did it was I looked at in 2 parts. I think of AB covering the lower portion of the height, and vertex P covering the upper portion of the height. (What I have done is I have highlighted the purple in this region in the upper half, the red as the lower half). By adding the 2 vertical components we are able to obtain the vertical height mentioned.

 

[dlau]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Oh right. I get it now thanks!


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[Phantexceed]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Hey did you do every single question in the textbook? Or just the harder ones?

 

[appleibeats]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread



Not sure how to approach part a).

 

[appleibeats]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread



Need help with part a).

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

View attachment 33095

Not sure how to approach part a).

The Polynomial P(x) is divided by (x-1)(x+2). Find the remainder, given that P(1)=2 and P(-2)=5. [Hint: The remainder may have degree 1.]

The above division process is then usually expressed as an identity:

P(x)=A(x).Q(x)+R(x)

P(x) is the original polynomial
A(x) is the divisor
Q(x) is the quotient
R(x) is the remainder

Here is my working out

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

View attachment 33096

Need help with part a).

Q18 A EX 4D

 

[appleibeats]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

the answer in the textbook says 1/2 not -5/2

 

[davidgoes4wce]

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

I reckon that answer might be wrong (textbook), happy to be proved wrong though.