Answer:
Step-by-step explanation:
Given that a pair of parametric equations is given. x = 3t, y = t + 5
This can be written as
which is a straight line
The graph is shown in the attached file.
b) x=2t and y =t+6
We can write this as
Simplify to get
x =2y-12
x-2y+12 =0 is the equation in rectangular coordinates.
Exercise 1:
The easiest way to compute powers of complex numbers is to write them in the form
In this form, you have
The magnitude of the number is given by
So, we have
As for the angle, we have
So, we have
Finally,
Exercise 2:
You simply have to compute the trigonometric function:
So, we have
Answer:
2/5
Step-by-step explanation:
Hence, simplest form of 34/85 is 2/5.
The inverse of the function x^7 is x^-7 and it is also a function.
An inverse function or an anti function is defined as a function, which can reverse into another function.
A standard method to find inverse of a function is to set y=f(x)
let y= f(x)=x^7
thus
=x
thus (y)=
thus
(To verify this if a function is inverse or not we are required to check for the identity)
f((x))=
(f(x))=x
Therefore, The inverse of the function x^7 is x^-7 and it is also a function.
For further reference:
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