Answer:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Step-by-step explanation:
Given function is:
3[|x-1|+2]
Can also be written as:
3|x-1|+6
As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.
Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.
Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.
Hence, the correct option is:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
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.
Solution:
we are given that
In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).
we have been asked to find the cost per ounce?
As we know that
16 oz=1 lb
so we will divide by 16 to get the cost per ounce.
strawberries cost $6.40 per pound so for 1 oz it will cost 
$
Hence cost per ounce is 0.40 $
The answer is -.2.5 hope that help
To start, I had similar questions and I know that it takes 3 cones to fill a cylinder.
And as for the volumes:
V of a cylinder= V=π r<span>2 h (pi x radius squared x height)
Volume of a cone= V=</span><span>π r2 h/3 (pi x radius squared x height divided by 3)</span>
