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Recent questions in Mean Value Theorem
Differential CalculusAnswered question
bystahsj 2023-02-13A female grizzly bear weighs 500 pounds. After hibernating for 6 months, she weighs only 350 pounds. What is the mean monthly change in weight?
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YZ1FW5f4f 2023-02-03Which of the following are true statements.
A)Variance gives a better picture of dispersion or scatter compared to mean deviation
B)For given n observation , with mean variance will be
C)Variance can be zero even if all observations are not equal.
D)Variance can be a negative quantity if all the observations are negative
A)Variance gives a better picture of dispersion or scatter compared to mean deviation
B)For given n observation , with mean variance will be
C)Variance can be zero even if all observations are not equal.
D)Variance can be a negative quantity if all the observations are negative
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Differential CalculusAnswered question
Adrianna Macias 2022-07-16Explain in your own words what the Intermediate Value Theorem says and why it seems plausible.
.A.
The Intermediate Value Theorem states that for a continuous function f(x) over the closed interval [a,b], f(x) takes on every value between f(a) and f(b). This seems plausible because if the function did not take on every value between f(a) and f(b), there would be a value for f(x) that did not exist, and thus the function would not be continuous.
B
The Intermediate Value Theorem states that for every value of x between a and b in f(x), if f(a) exists, then f(b) must exist if b is in the domain. This seems plausible because if the function did not take on every value between f(a) and f(b), there would be a value for f(x) that did not exist, and thus the function would not be continuous.
C.
The Intermediate Value Theorem states that for a continuous function f(x) over the closed interval [a,b], f(x) takes on every value between f(a) and f(b). This seems plausible because if b is in the domain of x, then f(b) must exist.
D.
The Intermediate Value Theorem states that for every value of x between a and b in f(x), if f(a) exists, then f(b) must exist if b is in the domain. This seems plausible because if b is in the domain of x, then f(b) must exist.
.A.
The Intermediate Value Theorem states that for a continuous function f(x) over the closed interval [a,b], f(x) takes on every value between f(a) and f(b). This seems plausible because if the function did not take on every value between f(a) and f(b), there would be a value for f(x) that did not exist, and thus the function would not be continuous.
B
The Intermediate Value Theorem states that for every value of x between a and b in f(x), if f(a) exists, then f(b) must exist if b is in the domain. This seems plausible because if the function did not take on every value between f(a) and f(b), there would be a value for f(x) that did not exist, and thus the function would not be continuous.
C.
The Intermediate Value Theorem states that for a continuous function f(x) over the closed interval [a,b], f(x) takes on every value between f(a) and f(b). This seems plausible because if b is in the domain of x, then f(b) must exist.
D.
The Intermediate Value Theorem states that for every value of x between a and b in f(x), if f(a) exists, then f(b) must exist if b is in the domain. This seems plausible because if b is in the domain of x, then f(b) must exist.
The Mean Value Theorem is an important mathematical theorem that helps us understand the behavior of certain functions. It states that given a function, its average rate of change over a certain interval is equal to the rate of change of the function at some point within that interval. This theorem has many applications in calculus and other mathematical disciplines. It can be used to prove the existence of a maximum or minimum value for a function, and it can be used to prove that the graph of a function is always concave upward or downward. It is also used to prove the existence of an anti-derivative for continuous functions. The Mean Value Theorem is a powerful theorem that has helped mathematicians understand many complex phenomena.
