Determine the length of , given by x in the figure. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it ma
kes sense. ( no links as answers)
1 answer:
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Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
Answer:
Option A) The function is even because it is symmetric with respect to the y-axis.
Step-by-step explanation:
We are given a graph of the function.
We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.
Symmetry around y-axis
- The y-axis acts as the line of symmetry for the given graph.
- A graph is said to be symmetric about the y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.
Even Function:
- A function is said to be even if
- A function f is even if the graph of f is symmetric with respect to the y-axis
Odd function:
- A function is said to be odd if
- A function f is even if the graph of f is symmetric with respect to the x-axis.
Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.
Option A) The function is even because it is symmetric with respect to the y-axis.