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How do I solve simultaneous equations by substitution?

You can solve simultaneous equations by either substitution or elimination. Say we have the equations:(1) 8y + 6x = 24 and (2) 2y - x = 6SUBSTITUTION METHODFirst, you need to find x in terms of y (or y in...

Answered by Joshua N. Maths tutor
2418 Views

Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3

This questions involves the use of trigonometric identities, specifically [1] tan(x) = sin(x)/cos(x) and [2] sin2(x) + cos2(x) = 1.
Start by rearranging the given equations to ...

Answered by Jasmin C. Maths tutor
5792 Views

Find the derivative of sin(x)/x^3 with respect to x

First, bring the x to the numerator (top) as x^(-3). Then use the chain rule: State the first times derivative of the second plus state the second times the derivative of the first.State sin(x), then mult...

Answered by Tutor170145 D. Maths tutor
5700 Views

Simplify the following, 125^-2/3

1. The minus sign indicates that the answer is a reciprocal meaning basically 1 over.2. Next, on inspection of the fraction, the 2 on top means that you square the number, times it by itself...

Answered by Cameron B. Maths tutor
2508 Views

Differentiate dy/dx ((2x^3)+(x^2)-(4x)+7)

Differentiate each term in the equation separately then put then put the differentiated equation back together.First we start with (2x3):2 x 3 = 6 and 3-1=2 so we get the differentiated term of...

Answered by Theodora R. Maths tutor
2525 Views

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