NCr*P^r*q^(n-r)
7C4*. 75^4*. 25^(7-4)
35*. 75⁴*. 25³
35*. 316*. 016
11.06*. 016
. 1769
=. 177
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
Step-by-step explanation:
b i prety sure
If d = 20 and C = 20π, then r = 10.
If d = 26 and C = 26π, <span>then r = 13.
</span>If r = 1/2 and C = π, <span>then d = 1.
</span>If r = 7 and C = 14π, <span>then d = 14.
</span>If r = 6 and C = 12π, <span>then d = 12.
</span>If r = 50 and C = 100π, then d = 100.
*Note, r= 1/2×d or d=2×r
Answer:
Step-by-step explanation:
Given the function f(x):
You need to follow these steps in order to find :
- Rewrite the function with :
- Solve for "x":
- Exchange the variables:
- Rewrite the function with :