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Maths
A Level

Calculate (7-i*sqrt(6))*(13+i*sqrt(6))

We expand the parentheses to get to the equation: 713-13isqrt(6)+7isqrt(6)-iisqrt(36) which after some further calculations equals to: 91-6isqrt(6)+sqrt(36) [We got...

Answered by Maths tutor
2896 Views

Why is the derivative of ln(x) equal to 1/x.

This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given be...

CV
Answered by Christopher V. Maths tutor
7482 Views

The curve y = 2x^3 -ax^2 +8x+2 passes through the point B where x = 4. Given that B is a stationary point of the curve, find the value of the constant a.

y=2x3 - ax2 + 8x +2. If we are told that B is the stationary point of the curve, then it is at that point where the gradient of the curve is equal to 0. In order to find the gradient...

FM
Answered by Frazer M. Maths tutor
4088 Views

A-level: solve 8cos^2(x)+6sin(x)-6=3 for 0<x<2(pi)

8(1-sin^2(x))+6sin(x)-6=38(1-sin^2(x))+6sin(x)-9=08sin^2(x)-6sin(x)+1=0(2sin(x)-1)(4sin(x)-1)=02sin(x)-1=0 4sin(x)-1=02sin(x)=1 4sin(x)=1sin(x)=1/2 sin(x)=1/4x=(pi)/6 , 5(pi)/6 , 0.253 , 2.89

KM
Answered by Katie M. Maths tutor
5372 Views

Solve the equation 7^(x+1) = 3^(x+2)

1st we will log both sides of the equation7(x+1) = 3(x+2) becomes log7(x+1) = log3(x+2)NEXT we will use the power law which is loga (x)k=k...

AE
Answered by Anwulika E. Maths tutor
5312 Views

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