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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

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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

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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

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There are 13 counters in a bag. 4 counters are red, the rest are blue. Alice takes 2 counters without replacing them. What is the probability that both counters are the same colour?

To begin question, we must establish how blue counters there are at the start. This is a simple subtraction calculation.13-4=9There are 4 red counters and 9 blue counters, which totals to 13 counters. Nex...

Answered by Austin E. • Maths tutor

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