The given polynomial function has 1 relative minimum and 1 relative maximum.
<h3>What are the relative minimum and relative maximum?</h3>
- The relative minimum is the point on the graph where the y-coordinate has the minimum value.
- The relative maximum is the point on the graph where the y-coordinate has the maximum value.
- To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)
<h3>Calculation:</h3>
The given function is
f(x) = 2x³ - 2x² + 1
derivating the above function,
f'(x) = 6x² - 4x
At slope = 0, f'(x) = 0 (for maximum and minimum values)
⇒ 6x² - 4x = 0
⇒ 2x(3x - 2) = 0
2x = 0 or 3x - 2 = 0
∴ x = 0 or x = 2/3
Then the y-coordinates are calculated by substituting these x values in the given function,
when x = 0;
f(0) = 2(0)³ - 2(0)² + 1 = 1
So, the point is (0, 1)
when x = 2/3;
f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27
So, the point is (2/3, 19/27)
Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.
So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.
Thus, option A is correct.
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Answer:
72.9
Step-by-step explanation:
Multiply your first 2 terms
4.5* (-9) = -40.5
multiply this by -1.8
-40.5*-1.8 = 72.9
Answer:
-140
Step-by-step explanation:
Are thoses X's multiplication
Answer:
Answer:
Part a) Mr. Paul bought 14 oz of cashews
Part b) Mr. Paul bought 12 oz of walnuts
Part c) Mr Paul bought 2 oz more of cashews than walnuts
Part d) Mr Paul bought 2 more ounces of nuts than Mrs Toombs
Step-by-step explanation:
Part a) How many ounces of cashews did Mr. Paul buy?
Remember that
To convert lb to oz multiply by 16
we know that
Mr. Paul bought 7/8 lb of cashews <em> I think hope this helps:)</em>
Step-by-step explanation:
Answer: 63/16 = 3 1/16 or 7 if your divide it
Step-by-step explanation: