The value of y varies directly with x, and y Find y when x = 2.4. 7.2 when x = 1.6.
2 answers:
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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
Answer:
x = -16
Step-by-step explanation:
When there are two lines that intersect at one point, the two angles that are directly opposite each other are equal. So in this case, (6x+175) = (3x + 127)
6x + 175 = 3x + 125
6x - 3x = 125 - 175
3x = -50
x = -50 ÷ 3
x = -16