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Differentiate y=3x^2+2x+4 and find the stationary points, decide if it is a local maximum or minimum.

First Differentiate the equation to getdy/dx=6x+2Equal this to 0 to find the stationary pointdy/dx=0=6x+2 => 6x=-2=> x=-2/6=> x=-1/3
differentiate again to find the whether it is a maximum o...

Answered by Jemma G. • Maths tutor

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What is 4536000 in words and what is that number to 3 significant figures?

In words: four million five hundred and thirty six thousand 3 S.F : 4540000

Answered by Billy W. • Maths tutor

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Solve to find x: 32x + 43 = -8x - 17

In order to find 'x', one must be able to isolate x on one side of the equation. This would be achieved firstly by adding +8x to both side of the equation:The left hand side would thus look like this: 40x...

Answered by Francis B. • Maths tutor

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Katie buys: 3 pens costing £2.20 each, 1 rubber costing £1.60 and 2 pencils. She pays with a £10 note and a £2 coin. She gets 20p change. What was the price of each pencil?

You can put this question into the form of an equation in order to solve it.Step 1: The total cost of the items is (10+2)-0.20= £11.80. Step 2: putting it in equation form: let x be the price of 1 pencil,...

Answered by Juliette W. • Maths tutor

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F(X)= 4/(x-3) g(x)= (x+2)/x solve fg(a)= 1

4/(x-3)*(x+2)/x= 4x+8/ x²-3x
sub in a for x4a+8/a²-3athen equate to 1: 4a+8/a²-3a=1Times the bottom half of the equation up4a+8=a²-3aThe move the 4a+8 acr...

Answered by Esther J. • Maths tutor

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