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Maths
A Level

Find the max/min value of the function: f(x) = 5x^2 - 20x + 15

A quadratic function will either have a minimum or a maximum value depending on the shape of the function. A quadratic function with a positive value in front of the x^2 term has a U shape and therefore h...

Answered by Peter H. Maths tutor
4566 Views

How do you integrate the equation x^2 + 4x + 3 dx? (

Integrating the equations: x2 + 4x + 3 dx. To integrate, the method is to look each parts of the equation, e.g. the x2 firstly. We would add 1 to the power to get x3 . The...

Answered by Saba N. Maths tutor
6731 Views

Simplify √32+√18 to a*√2 where a is an integer

So firstly, we need to know what type of answer we are aiming for. The question tells us to put our answer in the format a√2 where a is an integer. As we know from previous work, an integer is a whole...

Answered by Alexander H. Maths tutor
5931 Views

The population of a town is 20000 at the start of the year 2018. A population model predicts this population will grow by 2% each year. (a) Find the estimated population at the start of 2022.

The first piece of information we need to extract from the question is the area of maths we are working in. The populations at the start of each year form a sequence. The first term of the sequence is 20,...

Answered by Fergus G. Maths tutor
3497 Views

Find the coordinates of the maximum stationary point of the y = x^2 +4x curve.

Differentiate equation of the line. This first differential is made to equal zero. Find the value of x and substitute this value into the original equation of the line to find the y value.

Answered by Thomas I. Maths tutor
3480 Views

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