Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change of
y at x=a.
A. The average rate of change of y as x changes from a to b can be found using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
B. The average rate of change of y as x changes from a to b can be found by using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
C. The instantaneous rate of change of y at xa can be found by using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
D. The instantaneous rate of change of y at xa can be found using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
A. The average rate of change of y as x changes from a to b can be found using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
B. The average rate of change of y as x changes from a to b can be found by using the formula , where yf(x). The instantaneous rate of change of y at xa is found by taking the limit as b approaches a of the stated formula.
C. The instantaneous rate of change of y at xa can be found by using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
D. The instantaneous rate of change of y at xa can be found using the formula , where yf(x). The average rate of change of y as x changes from a to b is found by taking the limit as b approaches a of the stated formula.
1 answer:
The given options are not clear enough, so i have attached the full question with the correct options.
Answer:
Option A:
Average rate of change=[f(b) - f(a)]/(b-a)
Instantaneous rate of change of y at x = a is found by finding the limit as "b" approaches "a"
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as the slope of the secant line, which is calculated by the formula;
[f(b) - f(a)]/(b - a)
While the instantaneous rate of change of f(x) at x = a is defined as the slope of the tangent line, which is calculated by finding the limit as "b" approaches "a". This is written as; f'(a) .
Looking at the options, the correct answer is option A.
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From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points and
is given by,
d =
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD =
CD =
=
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=
=
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Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.