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P is directly proportional to Q. When Q = 6, P = 15. Work out the value of P when Q = 3.5

If P is directly proportional to Q then that means if Q increases P will also increase. If Q decreases P will also decrease. Two values that are directly proportional to each other are related to each other ...
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Answered by Zsolt T. • Maths tutor
42707 Views

Examine the sequence 1 + 1/3 + (1/3)^2 + … + (1/3)^n Under what condition does it converge? What does it converge to?

This is a sequence in the form 1 + c + c 2 + … c n 1 + c + c 2 + … c n * (1 - c) = 1 – c n+1 So we can rewrite the sequence as 1 – c n+1 / 1 - c Which is the same as 1 / 1 – c – c n+1 / 1 - c Since 0 <= c...
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Answered by Hanaan Y. • Maths tutor
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Consider a differential equation where dx/dt = -axt. Find an equation for x(t).

Starting from dx/dt = -axt. We treat dx and dt as infinitessimal factors of x and t, therefore fundemental mathematical operations still apply. Rearranging the equation to group x, dx and t, dt. 1/x dx = -at...
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Answered by Cal L. • Maths tutor
5191 Views

How do you expand brackets? eg. (2x+3)(3x+4)

Use the FOIL method for: (2x+3)(3x+4) F irst e.g. multiply first two numbers (2x and 3x) O utside e.g. 2x and 4 I nside e.g. 3 and 3x L ast e.g. 3 and 4
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Answered by Naba C. • Maths tutor
6171 Views

How do you differentiate a function comprised of two functions multiplied together?

The product rule is useful when you’re dealing with a function comprised of two functions multiplied together. Generally, if you have a function of the form y = f(x)g(x), then the derivative of the function ...
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Answered by Elliot G. • Maths tutor
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