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12345 [234]
3 years ago
8

EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 â 16x3 â 270x2 + 3 Video Example SOLUTION

f '(x) = 12x3 â 48x2 â 540x = 12x(x â 9)(x + 5) From the chart Interval 12x x â 9 x + 5 f '(x) f x < â5 â â â â decreasing on (ââ, â5) â5 < x < 0 â â + + increasing on (â5, 0) 0 < x < 9 + â + â decreasing on (0, 9) x > 9 + + + + increasing on (9, â) we see that f '(x) changes from negative to positive at â5, so f(â5) = 840 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. is a local minimum value by the First Derivative Test. Similarly, f '(x) changes from negative to positive at 9, so f(9) = -11512 Incorrect: Your answer is incorrect. is a local minimum value. And, f(0) = 3 Correct: Your answer is correct. is a local maximum value because f '(x) changes from positive to negative at 0.
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

Step-by-step explanation:

You need to have the + or - signs in there if anyone is going to be able to help you do this problem.

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What division expression represents the average number of people
Sergeeva-Olga [200]

y=?

y/?

i hope this is the answer im glad to help

4 0
3 years ago
you rent a canoe for 5$ per hour.Your cost before the tax is added is 12.50. write and solve an equation to find the total numbe
Basile [38]

Answer: The equation is   5x = 12.50   and  you will have the canoe for 2 and half hours or 2 hours 30 minutes.

Step-by-step explanation:

You rent the canoe for 5 dollars per hour and that can be represented by the expression  5x.  After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.

5x  = 12.50    Solve for x  by divide both sides by 5.

x = 2.5

This means you will need the canoe for 2 and half hours.

8 0
3 years ago
The only way to identify an intercept is as an ordered pair.<br><br> True<br> False
artcher [175]
False because there are other ways to identify an intercept
5 0
4 years ago
Write a piecewise function for the graph
netineya [11]

Answer:

You can used it to help me out with a good time with this and

Step-by-step explanation:

5 0
3 years ago
Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0
3 years ago
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