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Expand and simplify (x-2)(2x-3)(x+1)

2x3 + x2 - 7x - 6

Answered by Marcus J. Maths tutor
3482 Views

Find the inverse function of f(x) = 5 / (x - 4)

To find the inverse of a function you follow 3 steps.Replace f (x) with x and any x variables with y Rearrange this equation into the form y = x variablesReplace the y with f ^-1 (x) and you have your ans...

Answered by Kristen G. Maths tutor
2375 Views

A medical test will be positive for 0.05% of people and negative for everyone else. Suppose a hospital will test 4000 patients each day. Use an appropriate approximation to find the probability that 5 people test positive tomorrow. (5SF)

Note that we have a constant probability, fixed number of tests, independent patients and only two outcomes, so we can write a binomial distribution X~Bin(4000,0.0005) where X is the random variable repre...

Answered by John M. Maths tutor
2358 Views

Solve the simultaneous equations: (3x+2y=3), (x-y=-4)

3x+2y=3 x-y=-4 First, we want to cancel out either x or y so that all we have left is the one we haven't cancelled and a number. To do this we can add or subtract the two equations, possibly multipl...

Answered by Rohan B. Maths tutor
3206 Views

Differentiate 2cos(x)sin(x) with respect to x

To solve this differential, firstly note that 2cos(x)sin(x) = sin(2x) (by the Double-Angle Sine Identity), this makes computing the differential a lot easier. To differentiate sin(2x) we need to use the c...

Answered by Ryan H. Maths tutor
5950 Views

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