Answer:
<u><em>x=8.5 </em></u>
Step-by-step explanation:
you have to count the numbers at the top you get 22 then you subtract 22 from 39 that will get you 17 cut 17 in half and you will get 8.5 .so put 8.5 on both of the sides on the bottom.answer <u><em>x equals 8.5</em></u>
<span>9x^2 - 12x + 12
Hope it helps! (:</span>
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.
To evaluate this expression you just have to substitue the value that is given.
so since we know m=2 x=7 y=5
and the expression is given mx-y
plug these values in as 2(7)-5 = 14-5 = 9
