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Find the stationary points of the curve f(x) =x^3 - 6x^2 + 9x + 1

Step One: stationary/turning points are points on the curve where the gradient equals 0 (i.e. a point at which the slope changes from negative to positive, or vice versa). So we ne...

AL
Answered by Angharad L. Maths tutor
10106 Views

Describe three effects of smoking on the alveoli

Answers could include:Thinning of alveoli walls to reduce the size of the alveoli air sacsSacs lose their elasticity leading to a difficulty in expelling carbon dioxide and taking in oxygenDecrease in dif...

TB
Answered by Tash B. Biology tutor
2590 Views

How do I write a strong introduction, and what should it contain?

A strong introduction provides your examiner with a strong first impression. It introduces your writing style, and should establish the direction that your essay will take.

Begin by highlighti...

GD
3644 Views

Solve the following equations. Leave answers in simplest terms a)e^(3x-9)=8. b) ln(2y+5)=2+ln(4-y)

a) Using log rules, a^x=b becomes log(a)b=x. If we take ln of both sides, we get ln(e^(3x-9))=ln8. ln(e) =1, so we just get 3x-9=ln8. Now we can simply manipulate this to get x=(9+ln8)/3=3+(1/3)ln8. Anoth...

BW
Answered by Ben W. Maths tutor
6463 Views

a) show that (cosx)^2=8(sinx)^2-6sinx can be written as (3sinx-1)^2=2 b)Solve (cosx)^2=8(sinx)^2-6sinx

Start with a). Looking at this equation, the trig identity screaming out is cosx^2+sinx^2=1--> cosx^2=1-sinx^2. Substituting this into the LHS of the equation, and with a bit of algebraic rearrangement...

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Answered by Ben W. Maths tutor
23322 Views

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