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Given a fixed parabola and a family of parallel lines with given fixed gradient, find the one line that intersects the parabola in one single point

Let the parabola be y=x²and let the family of lines be y=2x+c, in order to study the intersection points we need to consider the second order linear system given by having the two equations ab...

Answered by Francesca T. • Maths tutor

2964 Views

Which of the following was the more important reason why Hitler was appointed Chancellor of Germany in 1933: • the economic weakness of the Weimar Republic • the political weakness of the Weimar Republic? Explain your answer with reference to both points.

After the First World War, Germany had been left in great industrial and economic crisis, which was caused by the physical disasters of the war, as well as the sanctions imposed to the German government b...

Answered by Benjamina D. • History tutor

14753 Views

Find all solution to the equation 3tan(x)=8/sin(x) for 0<=x<=360 degrees

By multipying across and using some trigonometric identities we can turn this in to a much simpler quatratic which can be solved using the quadratic formula. This step can be simplified by using the subst...

Answered by James B. • Maths tutor

5490 Views

You have a list of numbers: 1, 45, 81, 40, 7, 8, 14, 23, 7, 4. Calculate the mode, median, and mean.

Mode is the value that occurs most - which is 7. Median - put numbers in numerical order and find the middle number, which is 11. Mean is the average value so add up all the numbers and divide by the tota...

Answered by Isabelle C. • Maths tutor

3232 Views

How do waterfalls form?

Waterfalls form when a river flows over an area of softer rock after flowing over an area of harder rock. Due to the softer rock being more easily eroded than the harder rock, the soft rock undercuts the ...

Answered by Lucy T. • Geography tutor

4204 Views