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Maths
A Level

show that f(x)=cos(x) is even and what is its graphical property

If the function is even, f(x) = f(-x).cos(-x) is the same value as cos(+x) therefore the function is even. Its graphical property is that it is symmetrical about the y axis as all even functions are.

Answered by Matthew P. Maths tutor
4021 Views

Differentiate: ln((e^x+1)/e^x-1))

Chain rule: First resolve the log differential, then resolve the fraction integration either by knowing the formula for it or by writing (e^x+1)/(e^x-1) as (e^x+1)(e^x-1)^(-1) and applying chain rule agai...

Answered by Mihai V. Maths tutor
2779 Views

A machine is used to manufacture custom spoilers for two types of sports car( Car A and Car B0. Each day, in a random order, n are produced for Car A and m for Car B. What is the probability that the m spoilers for Car B are produced consecutively?

First we look at the probability of producing a total ensemble which is 1/(n+m)!. This is in any random order and any part either m or n
To further see what is going on let’s take some example let’s ...

Answered by Mihai V. Maths tutor
2442 Views

Differentiate 6x^(7/2)-5x^2+7

42x^(5/2)-10x

Answered by Adam H. Maths tutor
3246 Views

The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0

C: 16y3 + 9x2y -54x = 0 d/dx(16y3) + d/dx(9x2y) + d/dx(-54x) = d/dx(0).............=>48y2.dy/dx + 9x2.dy/dx + y.18x - 54 = 0 dy/dx(48y<...

Answered by Elliot P. Maths tutor
7515 Views

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