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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.

MP
Answered by Matthew P. Maths tutor
5327 Views

What is Wallerstein's World Systems theory?

We can traditionally consider three core models which theorise how the development gap has come to exist. These are: Dependency Theory, Rostow's Modernisation Theory, and Wallerstein's World Systems Theor...

IG
6121 Views

Differentiate: y=x^x

First take log’s each side as it would turn our complicated function into something differentiable by chain rule.
ln y = x*ln x
Then differentiate y with respect to x:
d(ln y)/dx = ln x + 1...

MV
2527 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...

MV
Answered by Mihai V. Maths tutor
3598 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 ...

MV
Answered by Mihai V. Maths tutor
2960 Views

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