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Expand (1+0.5x)^4, simplifying the coefficients.

Step 1. Draw Pascal's triangle to find the coefficients. 1; 1 2 1 ; 1 3 3 1 ; 1 4 6 4 1. As you can see, each row starts and finishes with 1. The numbers in between are worked out by add...

SS
Answered by Srikka S. Maths tutor
4335 Views

What are the different steps involved in Proof by Induction?

The first step is to prove that the result is true for n=1.The second step is to assume that the result is true for n=k where k is any positive integer.The third step is to prove that the results is true ...

ÁF
Answered by Álvaro F. Maths tutor
3439 Views

Find the unknown side A ( trigonometry with one known side and an angle)

  1. First we need to make sure we have a nicely labelled triangle, identifying which sides are the adjacent, opposite and hypotenuse. 2) Once these are labelled we will can work out which trig function ...
TL
Answered by Tobias L. Maths tutor
3248 Views

Find the equation of the tangent to y = 2x^2 + 7 at x = 3.

The first step here is to identify what to do. Differentiating the equation y = 2x^2 + 7 will result in dy/dx = 4x. Given that you know that x = 3, you can substitute x = 3 into 4x which gives you 4(3) = ...

DC
Answered by Danielle C. Maths tutor
3661 Views

(https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2013/Exam-materials/6666_01_que_20160624.pdf) Question 6.(i)

First split up the fraction into partial fractions as this is more easily integrated. It can be seen that the denominator has factors y and (3y+2), therefore we can say the original fraction is equal to p...

TJ
Answered by Tom J. Maths tutor
3700 Views

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