Which statements are true regarding the expression below? Check all that apply. 8 Superscript negative 1 Baseline times 8 Supers
cript negative 3 Baseline times 8 The last factor, 8, with no exponent shown is equivalent to 8 Superscript 0. The sum of the exponents is Negative 3. The value of the expression is Negative 512. The value of the expression is StartFraction 1 Over 512 EndFraction. An equivalent expression is 8 Superscript 7 Baseline times 8 Superscript negative 10. An equivalent expression is 8 Superscript negative 2 Baseline times 8 Superscript negative 2.
2 answers:
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Answer: m = -
Step-by-step explanation:
I know this because I'm built different (FR FR This answer is correct)
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
Let be a curve of the form . The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where is the square distance function.
We can modify (1) as following:
(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
Second derivative test
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: ,
.
Closest points: .
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
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