Derivatives of sin(logx) from first principle
1 answer:
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Answer: Fourth option.
Step-by-step explanation:
By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).
Given the first table:
You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.
The second table is:
You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.
The third table is:
You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.
The fourth table is:
You can notice that each input value has only one output value. Therefore, this table represents a function.
Answer:
Yes, parallelogram OABC is a rectangle.
Step-by-step explanation:
The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).
A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.
product of slopes of two perpendicular lines is -1.
Formula for slope is
Using the formula we get
It means OA is perpendicular to AB.
Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.