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.
Answer:
Part A- The 1st box is 96 and the second box is 10.
PartB-
Part C-
Step-by-step explanation:
<h2><u><em>
Part A:</em></u></h2>
5x12=60
6x12=72
8x12=96
10x12=120
So the 1st box is 96 and the second box is 10.
<h2><u><em>
Part B:</em></u></h2>
5 $50
6 $60
8 $80
I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.
<h2>
<em><u>Part C:</u></em></h2>
If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.
Hoped this helped.
The phrase that would complete the proof is this:
Angle 2 is equal to Angle 4.
Vertical angles are angles formed when two lines intersect each other. The angles that are opposite each other are equal by a series of supplementary, complementary, and transitive property proofs.
Answer:
times the height, width and base
Step-by-step explanation:
Answer:
Moses's mixture is more acidic
Step-by-step explanation:
For the purpose here, acidity can be measured as the ratio of acid to water. We want to determine the comparison of ...
Bao = 4/26
and
Moses = 3/17
__
Multiplying both ratios by (26×17), we get ...
Bao ~ 4(17) = 68
Moses ~ 3(26) = 78
Then the acidity compares as ...
68 < 78 ⇔ 4/26 < 3/17
Moses's mixture is more acidic.