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Integrate sec^2(x)tan(X)dx

This can be done with integration by substitution. If we let u=tanx then du/dx=sec^2(X). If we substitute U into the integrand we get it being u(sec^2(X))dx. rearranging the du/dx equation to make dx the ...

AZ
Answered by Amin Z. Maths tutor
24263 Views

Solve x^2=3(x-1)^2

To start with, we want to put this into quadratic form, where we have ax^2+bx+c=0. We notice that there are terms on both sides of the equation. So we can expand the right hand side and then bring all th...

JU
Answered by Joshua U. Maths tutor
3231 Views

How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4

Firstly, recall the indice rules which are applicable to the question, for example in this question we can use the rules:(x^a)^b = x^abx^-1 = 1/xx^1/2 = square root xSecondly, apply these rules to break d...

CH
Answered by Cameron H. Maths tutor
3296 Views

Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.

Using the elimination method to remove the variable x, we need both equations to have the same values of x. To do this we find the lowest common multiple of the x values: the lowest common multiple of 3 a...

CH
Answered by Christy H. Maths tutor
8987 Views

How do you form the imperfect past tense and what is the difference between the preterite and the imperfect tense?

The imperfect past tense is formed with the endings:AR verbs Yo - abatú - abasel/ella - aba nosotros - abamos vosotros - abais ellos/ellas - aban ER and IR verbs yo - ía tú - ías el/ella - ía nosotros - í...

LC
Answered by Lucy C. Maths tutor
3237 Views

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