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Cambridge Prelim MX1 Textbook Marathon/Q&A (1 Viewer)

Paradoxica

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

I know. It's just then we shouldn't say it's the value of the derivative there, since the derivative would technically be undefined there.
In that case, just say the angle of the tangent wrt the x-axis.
 

InteGrand

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

In that case, just say the angle of the tangent wrt the x-axis.
What do you mean? We can't mention the 'tangent' in our definition of 'tangent', since that'd be a bit of a circular definition.
 

Paradoxica

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

What do you mean? We can't mention the 'tangent' in our definition of 'tangent', since that'd be a bit of a circular definition.
I was referring to the gradient of the vertical tangent.
 

davidgoes4wce

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



Circle Geometry, explain why in part (c) the triangle is a right angled triangle? (from Cambridge EX 4A Q15 (c))
 

InteGrand

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



Circle Geometry, explain why in part (c) the triangle is a right angled triangle? (from Cambridge EX 4A Q15 (c))
This is due to the HSC Circle Geometry theorem "line from centre of circle to midpoint of chord is perpendicular to chord". This can be easily proved by proving that those triangles are congruent (use SSS, due to equal radii, common sides, and bisection assumption), corresponding angles in congruent triangles are equal, and then adjacent angles in a straight line are supplementary.
 

drsabz101

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

Is chapter 7H rates of change worth doing? Is it in the hsc
 

axwe7

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

But it is Yr12 topic.
 

drsabz101

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

I suck at rates and need help with this q.8 ex 7g
 

drsabz101

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

q.8.PNG
 

AfroNerd

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

Use mathematical induction to prove that for all positive integers n:

a) image1.png

a) image.png
 

drsabz101

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

What are the steps involved in solving this (using the chain rule)

107.PNG
 

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