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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 20,000...
FG
Answered by Fergus G. • Maths tutor
4962 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.
TI
Answered by Thomas I. • Maths tutor
4537 Views

Write down the vector equation of the line l through the point (1,-1,2) and parallel to the vector 2i + 4k

Firstly, you need to see what is being asked to do. You need to find a vector equation of a line.Remember that the vector equation of a line is represented as r = a + λb.r is any point on the line, a is a sp...
CM
Answered by Clare M. • Maths tutor
4645 Views

Integrate lnx

This requires your knowledge of integration by parts. The trick here is that lnx can also be written as lnx*1 (as any term multiplied by 1 is itself). We set u=lnx and dv/dx equal to 1. Hence from this we ca...
AO
Answered by Anthony O. • Maths tutor
3989 Views

Using the Quotient rule, Find dy/dx given that y = sec(x)

d[sec(x)]/dx -->d[1/cos(x)] -->( [d[1].cos(x) - d[cos(x)].1] ) / [cos(x)]^2 -->[0.cos(x) - -sin(x).1]/ [cos(x)]^2 -->sin(x)/[cos(x)]^2 -->tan(x)sec(x) <-- Final Answer
RK
Answered by Rakib K. • Maths tutor
4759 Views