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Differentiate x^3+ x^2+2=y

This equals to dy/dx= 1/3 x²+1/3 x¹This is because we divide by the power and then minus one from the powerSo it becomes x^3-1/3 which can be simplified to 1/3 x²

Answered by Vera I. • Maths tutor

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Calculate the diameter of a circle with area 80cm^2 to two significant figures.

First you need to remember the equation area of a circle = πr² with r being the radius. Therefore as we are given the area of the cicle we need to rearrange the equation to give us the radius. ...

Answered by Matthew S. • Maths tutor

3746 Views

Solve the following equation. 7x^2 = 13x +2

First gather all x terms on left hand side,7x²-13x-2=0.
Since 7 is a prime number we can begin factorisation,(7x+/-?)(x+/-?)=0.
We know there must be a +/-2 and +/-1 in place of the q...

Answered by Lewis S. • Maths tutor

3023 Views

The equation of line L1 is y=3x-5. The equation of line L2 is 2y-6x+5=0. Show that these two lines are parallel.

To answer this question, you should make use of the general equation of a straight line: y=mx+c.For two lines to be parallel, they must have the same gradient (i.e. the same coefficient of x- which in the...

Answered by Gurvinder J. • Maths tutor

5061 Views

What is the difference between the mode, median and mean?

All three are types of averages that we can calculate.1, 1, 4, 6, 8, 12, 17
We can calculate the mode by looking at which number is the most frequently occurring number, for example, with the above d...

Answered by Jemma Y. • Maths tutor

3047 Views