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How can I get better at Mathematics? I am struggling with confidence and achieving low grades.

This is a really common situation so firstly, don't panic! Everyone can do well in mathematics with proper practice and you are certainly no exception. Here's my advice:Set a regular practice time, try an...

Answered by Michael R. Maths tutor
2728 Views

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...

Answered by Matthew H. Maths tutor
16968 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.)...

Answered by Joseph S. Maths tutor
2826 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 s...

Answered by Theo V. Maths tutor
1010 Views

Sketch the graph of y= (x^2) -2x -3 labelling the turning points and points of intersection

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the orig...

Answered by Lavana C. Maths tutor
5487 Views

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