The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
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Answer:
C≈18.85 ft
this is the answer I think
6.
I hope this helps, please Brainliest me, and have a great day! :D
Answer:
x 5/4 y 10/3 over 2
Step-by-step explanation:
A conjunction is a word that joins words or phrases. <em>For, and, nor, but, or, yet, so...</em>The conjunction in this sentence would be and.
(<em>most</em> is an adverb, <em>wow</em> is an interjection, and <em>of</em> is a preposition)
