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How do I solve the equation "2cos(x) = sin(2x), for 0 ≤ x ≤ 3π"?

The key to solving this equation is realizing that sin(2x) can be written in terms of sin(x) and cos(x) using a double-angle formula . (With trigonometric problems similar to this one, you should always chec...
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Answered by Sanveer R. • Maths tutor
34759 Views

A girl saves money over 200 weeks. She saves 5p in Week 1, 7p in Week 2, 9p in Week 3, and so on until Week 200. Her weekly savings form an arithmetic sequence. Find the amount she saves in Week 200. Calculate total savings over the 200 week period.

In part (a) the majority obtained 403 and some wrote their answer as £4.03, there was the usual crop of arithmetic errors with 2 ×199 = 298 or 498 being quite common. In part (b) the sum formula was usually ...
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Answered by Selena S. • Maths tutor
9117 Views

Work out the value of 4a + 2b when a = 4 and b = 3.

first substitute all the values you know into the formula (use brackets to make your work clear) 4(4) + 2(3) we know that 2 numbers next to eachother means multiply so expand it 4 x (4) + 2 x (3) using BODMA...
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Answered by Tom F. • Maths tutor
11478 Views

What is the method used for differentiation?

There are a range of methods commonly used for differentation, but my favoured method is as follows:E.g. Differentiate 3x^21) Separate into three separate parts - the Coefficient (the number at the front, in...
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Answered by Evelyn H. • Maths tutor
5893 Views

What is differentiation and why is it useful?

Although differentiation is often taught in an abstract way, it's applications are virtually limitless. It's primary purpose is to determine the gradient of a line at a given point on a curve. Unlike with th...
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Answered by Evelyn H. • Maths tutor
5095 Views