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:
what exactly did u want me to work out?
Answer:
The product of (-4)(7) is -28
Step-by-step explanation:
First you will multiply the number together.
This gets you -28.
The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.
Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,
(4)(7), the answer would have been positive, 28.
Answer:
16 1/7
Step-by-step explanation:
simple add
start with the fractions
5/7+3/7 = 8/7
simplify 1 1/7
add your whole numbers 15+1= 16 and the add your fraction 16+1/7= 16 1/7
