Here are your points (-9,-8), (-6,-2), (-2,-6)
Answer:
(x,y) = (.5x,5y)
Step-by-step explanation:
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
The amount you should put is 3846
<h3>How to determine the principal amount?</h3>
The given parameters are:
Amount, A = 4000
Rate, r = 8%
Time = 0.5 year i.e. 6 months
The amount on simple interest is calculated as:
A = P(1 + RT)
This gives
4000 = P * (1 + 8% * 0.5)
Evaluate the product
4000 = P * (1 + 0.04)
Evaluate the sum
4000 = P * (1.04)
Divide both sides by 1.04
P= 3846
Hence, the amount you should put is 3846
Read more about simple interest at:
brainly.com/question/20690803
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Answer:
C
Step-by-step explanation: