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In the arthmetic sequence, the first term is 3 and the fourth term is 12. Find the common difference (d) and the sum of the first 10 terms.

a. Finding dun = u1 + (n-1)du4 = u1 + (4-1)d12 = 3 + 3dd = 3
b. Sum of first 10 termssn = n/2(2u1 + (n-1)d)s10 = 5(6 + 9d)...

RA
Answered by Ruchi A. Maths tutor
1512 Views

Find the stationary point(s) on the curve 2xsin(x)

Derivative of 2xsin(x): 2sin(x)+2xcos(x)Set derivative equal to zero: 2sin(x)+2xcos(x)=0Solve: only valid when x=0Therefore the only stationary point is (0,0) ie the origin.

SO
Answered by Seyi O. Maths tutor
3128 Views

How would you convert a recurring decimal to a fraction?

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with ou...

ML
Answered by Matthew L. Maths tutor
5850 Views

How do I find the co-ordinates and nature of the stationary points on a curve?

The stationary points on a curve are the exact point of a maximum, minimum or point of inflection. They can be defined as points where the gradient, dy/dx = 0. You can show this by drawing a tangent to th...

ML
Answered by Matthew L. Maths tutor
6182 Views

Let f(x)= 5x-10 and h(x)= -5/x. A) Find fh(x). B) Find hf(x)

A) Find fh(x) This question is asking you to find the result when the function h(x) is sent through f(x). It is also not giving any numbers so the answer should be in terms of x. To answer this you should...

IS
Answered by Isobelle S. Maths tutor
6202 Views

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