Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The first equation is 
The second equation is 
Generally the first point of intersection of the first and second equation is x = 0
Generally the obtain the second point of intersection of the two equation we equate the two equations
So
=> 
=> 
=> 
Generally the from washer method we have
![V(x) = \int\limits^4_0 {\pi [(H(x))^2 - (G(x))^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B%28H%28x%29%29%5E2%20-%20%28G%28x%29%29%5E2%5D%7D%20%5C%2C%20dx)
So
and
So
![V(x) = \int\limits^4_0 {\pi [(16\sqrt{x})^2 - (4x)^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B%2816%5Csqrt%7Bx%7D%29%5E2%20-%20%284x%29%5E2%5D%7D%20%5C%2C%20dx)
=> ![V(x) = \int\limits^4_0 {\pi [256x - 16x^2]} \, dx](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cint%5Climits%5E4_0%20%7B%5Cpi%20%5B256x%20-%2016x%5E2%5D%7D%20%5C%2C%20dx)
=>![V(x) = \pi [256 \frac{x^2}{2} - 16 \frac{x^3}{3} ]|\left 4} \atop 0}} \right.](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cpi%20%5B256%20%5Cfrac%7Bx%5E2%7D%7B2%7D%20-%2016%20%5Cfrac%7Bx%5E3%7D%7B3%7D%20%5D%7C%5Cleft%204%7D%20%5Catop%200%7D%7D%20%5Cright.)
=> ![V(x) = \pi [256 * \frac{ 4^2}{2} - 16 * \frac{4^3}{3} ]](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%20%5Cpi%20%5B256%20%2A%20%5Cfrac%7B%204%5E2%7D%7B2%7D%20%20-%2016%20%2A%20%5Cfrac%7B4%5E3%7D%7B3%7D%20%5D)
=>
Answer:
You want to know how much lager a full sized candy bar is to see if you are getting a good price.
Step-by-step explanation:
Answer:
Missing side=25 units.
Area of the figure= 470 sq units.
Step-by-step explanation:
The figure is made up of a rectangle and a triangle.
To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.
31ft-16ft=15ft
The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.
We therefore use pythagoras theorem to find ?
a²+b²=c²
15²+20²=c²
625=c²
c=25
ii. The figure is a trapezium therefore we use the following formula to find the area.
A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.
=(1/2)(31+16)×20
=470 sq units
