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Find the first derivative of the line equation y=x^3 + 4

dy/dx = 3x^2

Answered by Harry F. • Maths tutor

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What is meant by the independent and dependent variables? Please give one example of each.

Independent variable: the one that you change.

Dependent variable: the one that you measure.

For example, a scientist wants to find out whether a diet including oats makes a horse run fast...

Answered by Lauren P. • Biology tutor

19030 Views

When a force is applied to a spring, the spring extends by 12cm. The spring has a spring constant of 25 N/m. Calculate the force applied to the string in N.

The equation needed in this scenario is: Force Applied (F) = Spring Constant (k) x Extension (x). This will most likely be given to the student on the data sheet for most exam boards. Firstly, you must co...

Answered by Matthew G. • Physics tutor

12838 Views

Integrate x((x^2)+2) dx

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X² = X³ then X x 2 is simply 2X. So we are left with X³ + 2X. Both ...

Answered by Benjamin H. • Maths tutor

3169 Views

There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?

First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February is the 8th day of the month, so in total betwee...

Answered by Roman D. • Maths tutor

6631 Views