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Maths
A Level

Find the exact solutions for 4 − x^2 = |2x − 1|

x=-1

x=-1+60.5

SV
Answered by Shroya V. Maths tutor
5772 Views

What is a confidence interval?

Using the normal distribution, we can estimate a range of values which we expect to contain the mean. For example, if we take a sample of 30 students height, we can estimate the mean height of students in...

AR
Answered by Alexander R. Maths tutor
4202 Views

i) Simplify (2 * sqrt(7))^2 ii) Find the value of ((2 * sqrt(7))^2 + 8)/(3 + sqrt(7)) in the form m + n * sqrt(7) where n and m are integers.

i) (2sqrt(7))2 = 2 sqrt(7)2 = 4 * 7 = 28      (1 mark) ii) First of all substitute the answer from above.    ((2 * sqrt(7))2 + 8) / (3 + sqrt(7)) = (...

AB
Answered by Andrew B. Maths tutor
7342 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x-8) at the point (2, -7).

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

MS
Answered by Manika S. Maths tutor
3631 Views

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.

This is a typical mechanics question in an AS/A-level exam and uses the principles of SUVAT and projection.

  • We can try to calculate the maximum height reached first using the veritical compon...
AF
Answered by Aaron F. Maths tutor
5545 Views

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