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Differentiate "sin(2x)"

Sinx differentiates to give cosx. We then multiply this by the differential of "2x." Which equals 2. Our answer therefore is "2cos(2x)."
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Answered by Ciaran B. • Maths tutor
10401 Views

dy/dx = 10exp(2x) - 4; when x = 0, y = 6. Find the value of y when x = 2.

First, we must evaluate what is given in the question. As it can be seen, the expression indicates that the problem consists of a first-order differential equation. We are also given the values of x and thei...
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Answered by Girts L. • Maths tutor
2713 Views

Find the area between the curves y = x^2 and y = 4x - x^2.

First, we need to draw a diagram , to understand the question more clearly. y = x^2 is a common curve, but to sketch y = 4x - x^2, we should factorise it, to find where it inersects the x-axis. 4x - x^2 = x(...
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Answered by Lamisah M. • Maths tutor
9550 Views

How do you approach a simultaneous equations problem?

There should be at least as many simultaneous equations as there are unknown variables - or else you cannot get a numerical answer! Start by trying to eliminate one of the variables. You can multiply the equ...
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Answered by Annie H. • Maths tutor
3704 Views

ABCD is a square of side 10 cm. Each side of the square is a tangent to the circle. Work out the total area of the shaded regions in terms of . Give your answer in its simplest form.

Here it's best to start this question off by drawing a diagram. Draw a square with each side having a length of 10cm and a circle which touches each side of the square only once (as eacn side of the square i...
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Answered by Benedicty M. • Maths tutor
17514 Views