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Solve 3x^2 + 6x – 2 = 0 Give your solutions correct to 2 decimal places.

3x 2 + 6x - 2 = 0 When we have a polynomial with powers of x up to 2 (a quadratic equation) we can apply the quadratic formula : -b ± root(b 2 -4ac)/2a where your equation is in the form ax 2 + bx + c 0 so a...
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Answered by Maya S. • Maths tutor
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Given y = x^3 + 4x + 1, find the value of dy/dx when x=3

To differentiate this equation, you must bring the power of each x term down to the front and reduce the power of x by 1, with constants disappearing: dy/dx = 3 x 3-1 + (4 1)*x 1-1 = 3x 2 + 4 To find the val...
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Answered by Florence H. • Maths tutor
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(a) show that 3/10 + 2/15 = 13/30 (b) show that 2 5/8 ÷ 1 1/6 = 2 1/4

(a) In order to add or subtract any fractions, they must first have a common denominator. For this example, I will take this to be 30. Looking at 3/10: in order to change the denomintor to 30, we must multip...
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Answered by Florence H. • Maths tutor
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How do one tailed and two tailed hypothesis tests differ

A one tailed test is when you are testing specifically for an increase or decrease- eg whether the probability of a person buying a product has INCREASED after a marketing change A two tailed test is when yo...
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Answered by Katie G. • Maths tutor
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Find the maximum point of the curve from its given equation: [...]

Firstly you would have to differentiate the equation to find the expression that describes the rate of change of the parameters relative to each other using the standard differentiation method. This involves...
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Answered by Merry S. • Maths tutor
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