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Integrate the function f(x) = 1/(4x-1)

t Using the fact that d/dx ( ln g(x)) = g'(x)/g(x), we can see that the integral of this function will be an ln function. From observing f(x) we see that if the answer was ln(4x-1) then f(x) would need to...

Answered by Sachin V. • Maths tutor

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In a tennis club, there are twice as many male members as female members. 1/3 of the males wear hats when they play. 1/4 of the females wear hats when they play. 66 members wear hats. How many members does the club have?

Let m be the number of males. Let f be the number of females.
(1/3)m + (1/4)f = 66 (1)
m = 2f (2)
(1/3) * 2f + (1/...

Answered by Neil S. • Maths tutor

3399 Views

The sum of the first and third term of a geometric sequence is 72. The sum to infinity of this sequence is 360, find the possible values of the common ratio, r.

We are dealing with a geometric sequence here, we will therefore focus on the geometric sequence formulas that are given in the math HL formula booklet. The first part of the information we are given stat...

Answered by Armand G. • Maths tutor

2946 Views

Solve the simultaneous equations: 2x + y = 18, x - y = 6

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrang...

Answered by Megan H. • Maths tutor

3658 Views

What is phagocytosis and what steps are involved?

Phagocytosis is the name given to the process where phagocytes (a type of white blood cell found in blood) will ingest invading pathogens or large partic...

Answered by Sanjana A. • Biology tutor

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