The TV network aired 14 commercials every
1 answer:
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Cone details:
- height: h cm
- radius: r cm
Sphere details:
- radius: 10 cm
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================
To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>
<u>apply chain rule</u>
<u>Equate the first derivative to zero, that is V'(x) = 0</u>
<u />
<u>maximum volume:</u> <u>when h = 40/3</u>
<u>minimum volume:</u> <u>when h = 0</u>
Answer:
See explanation and picture attached
Step-by-step explanation:
A set can be described by<em> listing all of its elements</em>.
For example, A = { 2, 4, 6, 8}, which we read as
“A is the set whose elements are 2, 4, 6 and 8”.
The four elements of the set are separated by commas, and the list is enclosed between curly brackets.
A <em>set can also be described by writing a description of its elements</em> between curly brackets.
Thus the set A above can also be written as
A = { even natural numbers less than 9 }, which we read as
“A is the set of even natural numbers less than 9”.
A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.
In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}
See picture attached for the answer.
