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a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.

a) First deduce that problem can be solved by inspection. Then use the fact that the derivative of tan3x equals 3sec^2(3x) and adjust for the constant. (Note this fact should be given in a formula booklet...

Answered by Ebrahim R. Maths tutor
2802 Views

Can you explain when we flip the inequality direction when solving inequalities.

We solve inequalities exactly like normal equations except for Dividing by a Negative Coefficient where we Change the inequality directionE.gx+2>4 is ... x>2 (ask second ...

Answered by Matthew M. Maths tutor
1962 Views

3/8 is equivalent to ?/24. Find the missing number.

Firstly, we work out what the fraction has been multiplied by. Since the bottom of the fraction is 24, we want to see how many 8's fit into 24. The answer is 3, since 8 multiplied by 3 is 24.Since the bot...

Answered by isabella B. Maths tutor
14303 Views

Mixed rugby team of 20, 5 are female. 15 play at a time. i.) What is the percentage chance of a female playing. ii.)A minimum of three females must now be on the pitch. What is the percentage chance of 4 females playing?

i.) 5/20 * 15/20 *100 = 18.755%ii.) Since 3 have to be on the team, essentially the problem is percentage chance of one female getting onto a team of 12, therefore 2/17 * 12/17 * 100 = 8.30%

Answered by Alfie C. Maths tutor
1923 Views

f(x) = (2x+3)/(x-4). Work out f^-1 (x)

f-1(x) = inverseSet f-1(x) as y = (2x+3)/(x-4)y(x-4) = 2x+3yx-4y = 2x+3yx-2x = 3+4yx(y-2) = 3+4yx = (3+4y)/(y-2)f-1(x) = (3+4x)/(x-2)

Answered by Gurlina H. Maths tutor
4547 Views

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