The limit of f(x) as x goes to 2 is given by:
C. 0.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value a, that is, we have to look to the left of x = a and to the right of x = a, and if these values are equal, this is the limit of the function.
In this problem, we have that:
- To the left of x = 2, f(x) approaches 0.
- To the right of x = 2, f(x) approaches 0.
Since the lateral limits are equal, the limit of the function as x approaches 2 is of 0 and option C is correct.
More can be learned about limits at brainly.com/question/26270080
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Answer
Step 1 and step 2
Step by step explanation
Heat can be transferred from one place to another place.
When pot kept on a stove, the heat from flame travels to the base of the pot, then heat travels from the base to the water.
Step 1: Heat from the flame travels to the base of the pot.
Step 2: Heat from the base of the pot travels to the water near its base.
Answer: C) Step 1 and Step 2
Answer:
The correct option is c.
Step-by-step explanation:
The given equation is
The given inequality is
A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),
This statement is false, therefore option a is incorrect.
Check the point (-3,0),
This statement is false, therefore option b is incorrect.
Check the point (3,3),
This statement is true, therefore option c is correct.
Check the point (-3,-3),
This statement is false, therefore option d is incorrect.
Answer:
15
Step-by-step explanation:
5/9^-2 = 81/25
3/5^-3 = 125/27
3/5^0 = 1
81/25 x 512/27 x 1 = 15
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
