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How do you find the turning point of a parabola using its equation? using its equation?

First, you have to differentiate the equation to find the first derivative. Once you do this, you then set the derivative to equal zero and find the corresponding x value. This number is the x-value of the c...
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Answered by Ifeoluwa Y. • Maths tutor
3937 Views

Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

To satisfy the condition of substracting two fractions with unlike denominators, a common denominator needs to be found. By recognizing x^2 - 9 = (x-3)(x+3), we can rewrite the question as 4x/(x-3)(x+3) - [2...
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Answered by Ye C. • Maths tutor
6773 Views

Show that r^2(r + 1)^2 - r^2(r - 1)^2 ≡ 4r^3.

Start with the left hand side (LHS) of the equation. r^2(r + 1)^2 - r^2(r - 1)^2Take the equivalent terms from the separate parts of the LHS outside of set of brackets.r^2[(r + 1)^2 - (r - 1)^2]Expand the in...
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Answered by Andrew D. • Maths tutor
7846 Views

Two particles, A and B, are moving directly towards each other on a straight line with speeds of 6 m/s and 8 m/s respectively. The mass of A is 3 kg, and the mass of B is 2 kg. They collide to form a single particle of speed "v" m/s. Find v.

The student should apply their knowledge of conservation of momentum. Also, I would always encourage the student to draw a diagram for all mechanics questions as it helps visualise the problem.total change i...
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Answered by Kieran H. • Maths tutor
4933 Views

Show that the line with equation ax + by + c = 0 has gradient -a/b and cuts the y axis at -c/b?

This question involves inspecting the answers that have been provided to us. We have been given a constant gradient, and a point at which the line given by the equation cuts the y axis. This, therefore, mean...
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Answered by Dominic E. • Maths tutor
9611 Views