-132 i think is the correct answer
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:
Step-by-step explanation:
We are given that
We have to find the value of given logarithms by using change-base formula
Base-change formula:
Where x=New base
Using the formula then, we get
Substitute the values 
Then,we get
Here is the solution..x equals to √3..which is equals to 1.73205
A) 17/52
B) 15/26
C) 4/13
A) The probability of getting a club is 13/52; the probability of getting a 3 is 4/52; the probability of a club or 3 is
13/52+4/52 = 17/52
B) The probability of a red card is 26/52; the probability of a King is 4/52; the probability of a red card or King is
26/52+4/52=30/52 = 15/26
C) The probability of a 9 is 4/52; the probability of a face card is 12/52; the probability of a 9 or a face card is 4/52+12/52 = 16/52 = 4/13
