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Prove algebraically that the square of any odd number is always also an odd number.

Firstly, an algebraic expression of an odd number should be identified, such as 2n+1 or 2n-1. Doing this would also indicate the knowledge that 2n is always an even number, which will be important further on...
MH
Answered by Matthew H. • Maths tutor
26373 Views

If x=-2,1,2 and the y intercept is y=-8 for y=ax^3+bx^2+cx+d, what is a, b, c and d

a=-2, b=2, c=8, d=-8We know d=-8 from the y interception setting x=0 and y=-8For a, b and c we must construct 3 simultaneous equations from the given information x=-2, 1 and 21.) -8a+4b-2c=82.) a+b+c=83.) 8a...
JS
Answered by Joseph S. • Maths tutor
3890 Views

Will they expect me to know everything about my subject?

No. In terms of preparation, my best advice is read widely and be passionate. You can't fake passion and that combined with ability is what they look for. They are testing how you think rather than your know...
RW
2147 Views

How do I find the dot product of two 3-dimensional vectors

Example; Let vector v = (2,5,2) and vector u = (1,-2,3),then u · v = [(2 x 1) + (5 x -2) + (2 x 3)] = [2 -10 + 6] = -2 As the workings hopefully make clear in the line above, the general formula for the scal...
TV
Answered by Theo V. • Maths tutor
1673 Views

What is the best way to learn vocabulary?

My advice is to learn in both directions, for translation especially it is vital to have an active vocabulary rather than simply a passive one. Do whatever helps you, post its, reading, using the words in se...
RW
Answered by Robin W. • German tutor
1269 Views