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What is 700 million in standard form?

The number 700 million can be written out in its longer form of 700,000,000.We know that a number in standard form is written in the form of a x 10ⁿ, where a is a number greater than or equal t...

Answered by Carter B. • Maths tutor

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Find the equation of a straight line given two of its points (1,3) and (-2,5). Write your answer in the form y = mx + c.

There are two main steps required to find the equation of a straight line: Finding the gradient of the line AND the slope intercept

Answered by Stanislaw C. • Maths tutor

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Solve ∫(x+2)/(2x^2+1)^3 dx

Since (x+2)/(2x²+1)³ can't be easily simplified into a more straightforward integral, we have to rely on some more advanced integration methods. Before trying things like substitutio...

Answered by Jack M. • Maths tutor

5774 Views

A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x² -8x +12 ( differentiating- early a level skill). Solving x² -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values bac...

Answered by Joseph C. • Maths tutor

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In a class of 28 students, the average height of the 12 boys is 1.58 metres. The average height of the class is 1.52 metres. What is the average of the girls?

If we take x to be the total heights of the all the boys (1.58 * 12) be x and y to be the total height of all the students (1.52 * 28) then we may define the total heights of the girls, z, as y – x. If we...

Answered by Micah B. • Maths tutor

9868 Views