Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Answer:
The closest to the volume of cylinder is <u>63 in.³</u>.
Step-by-step explanation:
Given:
Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.
Now, to find the volume.
As circumference is given we get the radius by putting formula:
Circumference = 8 1/2 inches = 17/2 inches.
Let the radius be 
<em>Taking the value of π = 3.14.</em>


<em>Dividing both sides by 6.28 we get:</em>

So, radius = 1.35 inches.
Height = 11 inches.
Now, putting the formula to get the volume:





<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>
Therefore, the closest to the volume of cylinder is 63 in.³.
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))
Answer:
1) x=z-m
3) x=g-c
5) a=u-k
7) x=u+k
9) x=k-w+v
11) x=d+r-c
13) a=p-n+m
2) a=g+c
4) a=z/m
6) a=u/k
8) x=v+w/k
10) x=m-y-z
12) a=r-d/c
14) x=w-v/k
Step-by-step explanation: