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The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

1 st calculate: 93 000 000 × 2π 2 nd calculate: 365×24 Then divide the two values: 186 000 000π÷8760 = 66705 (5 s.f.)
SJ
Answered by Simbarashe J. • Maths tutor
9418 Views

Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4

Answer = (3,17.5) maximum (4,17.33) minimum First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into orginal eq...
JS
Answered by John S. • Maths tutor
9063 Views

What is the method of doubt?

The method of doubt is a method developed by the philosopher René Descartes (1596 -1650) in his famous essay, Meditations on First Philosophy (1641). Descartes goal was to find a method which allowed him to ...
AA
60496 Views

Integrate (2x)(e^x)dx

Solve via Integration by parts: let u=2x and dv/dx=e x the function that is u and the one that is dv/dx is given by LATHE (easier to explain on whiteboard) make the table: u=2x => du/dx=2; dv/dx = e x =&g...
MR
Answered by Maksadul R. • Maths tutor
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There is a right-angle triangle with hypothenus H = 5 cm and side A = 3 cm. Find the length of the third side B using Pythagoras' Theorem.

Pythagoras' theroem states that on a right-angle triangle, the square of the longest side (hypothenus) is equal to the sum of the squares of the other two sides. Therefore, H 2 = A 2 + B 2 5 2 = 3 2 + B 2 25...
AV
Answered by Ashwin V. • Maths tutor
3648 Views