Chain rule:
if
y=y(u) and u=u(x)
The dy/dx=(dv/du)(du/dx)
In our case
y=arcsin(u)
u=sin(x)
dy/du=1/√(1-u²) = 1/√(1-sin²x)
du/dx=cos x
dy/dx=cos x /√(1-sin²x)
Answer: dy/dx=cos x /√(1-sin²x)
It's an expression which <span>shows that two quantities are not equal.</span>
55 for service call
35 per hour
Total 160
55 + 35 (3)
55 + 105
160
He was there for 3 hours
<span>In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.</span>
