12. Expand and simplify. (5x + 3y)²-(4x + y) (6y - x) 13. The formula V = nr³h represents the volume of a cylinder. a) Identify the variables and constant(s) in this formula. b) Which variable(s) in the formula V = ar³h would you need to set as a constant to generate i) a linear equation and ii) a quadratic equation? How should r and h be related to generate a cubic equation? c) d) Determine the radius of a cylinder with volume 600 cm³ and height 10 cm,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
12. Expand and simplify.
(5x + 3y)² - (4x + y) (6y - x)
13. The formula V = nr³h represents the volume of a cylinder.
Identify the variables and constant(s) in this formula.
a)
b)
c)
d)
Which variable(s) in the formula V = nr³h would you need
to set as a constant to generate i) a linear equation and
ii) a quadratic equation?
How should r and h be related to generate a cubic equation?
Determine the radius of a cylinder with volume 600 cm³ and
height 10 cm.
Transcribed Image Text:12. Expand and simplify. (5x + 3y)² - (4x + y) (6y - x) 13. The formula V = nr³h represents the volume of a cylinder. Identify the variables and constant(s) in this formula. a) b) c) d) Which variable(s) in the formula V = nr³h would you need to set as a constant to generate i) a linear equation and ii) a quadratic equation? How should r and h be related to generate a cubic equation? Determine the radius of a cylinder with volume 600 cm³ and height 10 cm.
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