We are given
Jim's backyard:
Length is
width is
Since, this is rectangle
so, we can find area of rectangle
Area of one sod:
length is
width is
Since, it is rectangle in shape
so,
Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)
now, we can simplify it
pieces need ..............Answer
The radius is 2 and area = r^2*pi so 4*pi gives you 12.56 so the exact answer would be 12.56 and the answer with pi would be 4 times 3.14!
Answer:
(4,-1)
Step-by-step explanation:
A benefit is the technology can be more aaurate and you can use a compass and a straightedge wrong and get lost. Also the compass can break
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.
