X^2 + 50
√x^2+ √50
x + 5√2
5√2 = ~7.07106
x + 7.07106
x = -7.07106
hope this helps
F(2) = (5/2)f(1) = 8.0
f(3) = (5/2)f(2) = 20
f(4) = (5/2)f(3) = 50
f(5) = (5/2)*50 = 125
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:
do 700/20
700/20 = $35 each
hope this helps <3
Answer:
2) 19 dollars and 63 cents.
Step-by-step explanation:
not inc. tax = $15.70.
18% tip x $15.70=$2.83
7% tax x $15.70 = $1.10
$15.70 + $2.83 + $1.10 = $19.63
