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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
2702 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
6439 Views

There are 40 counters in a bag. 13 are red, 20% are green and the rest are yellow. What proportion of counters are yellow?

20% green counters - means 1/5 of all counters are green. 1/5 of 40 = 40/5 = 8 counters are greenthe number of counters that are green + the number of counters that are red = 8 + 13 = 21the number of coun...

Answered by Maths tutor
3081 Views

Solve x^(2) + 7x + 6 = 0.

1) Factorise x2 + 7x +6 Numbers that multiply to make +6: 6 and 1, -6 and -1, 3 and 2, -3 and -2...

RH
Answered by Rebecca H. Maths tutor
2734 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
3885 Views

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