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Maths
A Level

show that tan(x)/sec2(x) = (1/2)sin(2x)

tan(x)/sec2(x) Sec(x) = 1/cos(x), therefore 1/sec(x) = cos(x). also tan(x) = sin(x)/cos(x).using substitution, tan(x)/sec2(x) = (sin(x)/cos(x)) * cos2(x) = sin(x)cos(x). s...

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Answered by Olaitan O. Maths tutor
4498 Views

Differentiate 5x^2 + 11x + 5 with respect to x

The simple rule of thumb applied to differentiation can be used in this example - 'Multiply each term by its power then reduce the power by one'. Doing this 5x^2 becomes 25x^(2-1)=10x. Repeating for 1...

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Answered by Sam L. Maths tutor
3579 Views

How do I know if I am using the right particular integral when solving a differential equation

Particular integrals will generally be derived in two different ways, depending on the type of the differential equation that you are solving. For example if it was a linear first order ODE, then you woul...

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Answered by Vaikkun V. Maths tutor
9989 Views

Use the substitution u=4x-1 to find the exact value of 1/4<int<1/2 ((5-2x)(4x-1)^1/3)dx

We are required to solve this integral using integration by substitution, in which we assign a variable to equal a certain region of the integrated function in this case, 4x-1. The purpose of this is to r...

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Answered by Taylor R. Maths tutor
6081 Views

If given two parametric equations for a curve, how would you work out an equation for the gradient?

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