<span>y = tan^−1(x2/4)</span>
tan(y) = x2/4
sec2(y) = x/2
y′ = xcos^2(y)/2
<span>cos^2(y) = <span>16x2+16</span></span>
<span>y′ = <span>8x/(<span>x2+16)
let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (</span></span></span>x2 <span>+ 16)
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
Answer:
Area = 406
Step-by-step explanation:
First things first: Divide the shape
Here is how I did it:
21 x 16
14 x 5
Now solve:
21 x 16 = 336
14 x 5 = 70
Now add:
336 + 70 = 406
So the area is 406
Answer:
Option B.
all real numbers
Step-by-step explanation:
We have
and 
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:


Then:

The domain of the function f(g(x)) is the range of the function
.
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b: 
And his domain is all real.
Answer: $25.25
Step-by-step explanation:
378.75/15 = 25.25