Answer:
V = 63π / 200 m^3
Step-by-step explanation:
Given:
- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:
y = √(42*x - x^2)
- The surface is coated with paint with uniform layer thickness t = 1.5 mm
Find:
The volume of paint needed
Solution:
- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:
- The derivative of the function f'(x) is as follows:
- The square of derivative of f(x) is:
- Now use the surface area formula:
- The Volume of the pain coating is:
V = S*t
V = 210*π*3/2000
V = 63π / 200 m^3
$7,161.25 is the answer
take $8,425 and multipy it by 0.85 to get your answer.
Hope I helped :^)
Answer:
The actual area of land is 80 mi² .
Step-by-step explanation:
Given that we have to find the actual area so first we have to square the ratio(scale factor) :
1 in : 5 mi
(1 in)² : (5 mi)²
1 in² : 25 mi²
Next, the actual area will be :
1 in² = 25 mi²
(1 × 3.2) in² = (25 × 3.2) mi²
3.2 in² = 80 mi²
Answer:
a. where's the function?
b. x + y = 12: Yes
x=3-y : Yes
y=8+x^2: Yes
Step-by-step explanation:
b. meet demand: 2 inputs -> 1 output.
First you distribute, you will be left with 8s-12=3s+1
then you will add 12 on each sides, and subtract 3s on each side, you'll be left with 5s=11 then you will divide by 5 on each sides s=2.2