Answer:
942 ft²
Step-by-step explanation:
The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...
A = πr² = π(20 ft)² = 400π ft²
Then 3/4 of that area is ...
dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²
The area of the dog's run is about 942 ft².
Answer: discount and a sales price is: 114.75
With total with tax is: 122.20875
Step-by-step explanation:
I got this by see what the price was with the discount and then adding on the tax
None of the above because it will be 3.2 or -3.2
Get the derivative:
<em>y</em> = (9 - <em>x</em>²)¹ʹ³
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)
d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³
Evaluate it at <em>x</em> = 1 :
d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
<em>y</em> - 2 = 1/4 (<em>x</em> - 1) → <em>y</em> = 1/4 <em>x</em> + 7/4
Ok, this definition of f is just a bunch of points (4 to be exact).
so if point (a,b) is part of f, then f(a)=b
f(1) is about point (1,0), so f(1)=0.
g(1) = 1 (due to point (1,1))
g(2/3) = 0
f(2) = 3/4
g(-2) = 3
f(π) = -2
just a lookup once you see what is happening
