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Integrate(1+x)/((1-x^2)(2x+1)) with respect to x.

To simplify the fraction first notice (1-x 2 ) = (1-x)(1+x) so the common factor of (1+x) in the numerator and denominator can be cancelled. (1+x)/((1-x^2)(2x+1)) = 1/((1-x)(2x+1)), then we need to split thi...
RH
Answered by Ravinder H. • Maths tutor
4389 Views

What is 7 to the power of 8? (

Rearrange to (7 4 ) 2 = ((7 2 ) 2 ) 2 7 2 = 49(7 2 ) 2 = 49 2 = (50-1) 2 = 50 2 - 2x50 + 1 = 24017 8 = (7 4 ) 2 =((7 2 ) 2 ) 2 = 2401 2 = (2000 + 400 + 1) 2 = 5,764,801
MH
Answered by Michael H. • Maths tutor
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The numbers a, b, c and d satisfy the following equations: a + b + 3c + 4d = k; 5a = 3b = 2c = d. What is the smallest value for k for which a, b, c and d are all positive integers

5a = 3b = 2c = d. d must be a multiple of 5, 3 and 2, therefore the smallest possible value for d is 30. This sets a = 6, b = 10 and c = 152) a + b + 3c + 4d = 6 + 10 + 3x15 + 4x30 = 181 k = 181
MH
Answered by Michael H. • Maths tutor
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A class of pupils were asked about how they travelled to school on a particular day. 1/6 of the pupils were driven to school in a car. 2/5 of the pupils took the bus. The rest of the pupils walked to school. Calculate the fraction of pupils who walk

The total amount of student would be represented by 1 or 100%. The pupils are split into three categories meaning the total must add up to 1. Therefore to find the remaining pupils who walked to school we si...
JZ
Answered by Jane Z. • Maths tutor
7125 Views

Write 120 as a product of its prime factor

What are Prime Numbers? Prime numbers by definition are numbers that cannot be divided by any other number but itself and 1. For e.g. 2 is a prime as it can only be divided by 2 and 1 and nothing else. One t...
KP
Answered by Kai P. • Maths tutor
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