9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.
Answer:
The graph of the function
is attached as image below.
Analysis:
We have two intersection points in the graph
The function
intersects the y-axis at points (0,4)
The function
intersects the x-axis at points (-16,0)
f(x) is positive for x>-`16
f(x) is negative for x<-`16
Answer:
Step-by-step explanation:
Here the region between two curves is rotated about a vertical line.
The functions are
![y = sin^2x, \\y = sin^4x, \\x in [0,[pi]/2].](https://tex.z-dn.net/?f=y%20%3D%20sin%5E2x%2C%20%5C%5Cy%20%3D%20sin%5E4x%2C%20%5C%5Cx%20in%20%5B0%2C%5Bpi%5D%2F2%5D.)
Intersecting points are x=0 and x =pi/2
Since rotated about x = pi/2 we get
using cylindrical shell method
Volume = 
From wolfram alpha we find that
Volume= 