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kykrilka [37]
3 years ago
13

I need help with this math problem please

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Ok where is the question

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Question 15 of 46
kifflom [539]

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.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0
2 years ago
The difference between -7 and a number x is no more than -2/3
Troyanec [42]

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...

8 0
3 years ago
Colton has a 1/20 probability of winning the race. Logan has a 15% probability of winning. Who has the greater chance of winning
LiRa [457]

Answer:

Logan has the greater probability of winning

Step-by-step explanation:

Colton=1/20

=0.05

So the probability of Colton is 0.05

Logan=15%

=15/100

=0.15

So the probability of Logan is 0.15

When comparing the two,it was observed that the Logan has greater probability of winning

4 0
2 years ago
Give your answer in correct number of significant figures: (4.0 x 102 ) (0.04) / 7.2​
inysia [295]

Step-by-step explanation:

= (4)(102)

= 408 (408) (0.04) = 16.32 16.32/7.2

= 2.26666667

4 0
2 years ago
Read 2 more answers
If the slope of line a is -4/3 and the slope of line b is 3/4 line a and line b are perpendicular
Sauron [17]

Answer:

hi! so for perpendicular it's negative reciprocal!

so is -4/3 and 3/4 negative reciprocals?

oh and remember reciprocals are flipped!

if you still don't get it let me know aha

5 0
2 years ago
Read 2 more answers
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