If it costs 1.85 dollars to rent 3 books at the library, how much would cost to rent 51 books?
1 answer:
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Answer:
Step-by-step explanation:
- Original equation:
- Subtract 5x from both sides of the equation:
- Divide both sides of the equation by -1:
- Divide both sides of the equation by 3 to get y on the left, leaving the equation in
form:
- Evaluate. Slope is equal to m in this form, so the slope is
.
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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