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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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Round 425 to the nearest ten and to nearest hundred
Sladkaya [172]

Answer:

430;400

Step-by-step explanation:

So tenth is the 2.. 5 makes it go to 3 430

hundred we look to change 4 so we look at tenths 2 is less than 5 so it stays the same 400

6 0
3 years ago
In what direction and by how many units is the graph of f(x) = −7 sin(3x + π) − 2 vertically and horizontally shifted?
aev [14]

Answer:

Option 1. Down 2, right pi over 3.

Step-by-step explanation:

In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.

As we know  in a sine equation represented as y = a sin(bx+c) +d

Amplitude of the wave = a

Period = \frac{2\pi }{b}

Horizontal shift = \frac{\pi }{b}

Vertical shift = d

From the given sine function we can get the following values

a = 7

period = \frac{2\pi }{3}

horizontal shift = \frac{\pi }{3} in the right side since it's with positive sign.

Vertical shift = -2 down with 2 ( since it's with negative sign)

Therefore Option 1 is the correct one.

8 0
3 years ago
A multivitamin tablet contains 16.5 . How much vitamins c does a bottle of 30 tablets contain? Write your answer in grams?
AURORKA [14]

Multiply 16.5 by 30

16.5x30=495

8 0
3 years ago
Write the equation of a line that goes through the points (-2, -5) and (3, -10)
AlekseyPX
The equation for slope between two points is (y1-y2)/x1-x2
Plug the points into the equation

-5-(-10)/-2-3
5/5
m=1
To find the equation, use y-y1=m(x-x1)
y-(-5)=1(x-(-2))
y+5=x+2
y=x+2-5
y=x-3
7 0
3 years ago
The diameter of a circle is 3 centimeters. What is the circumference?​
Wewaii [24]

Answer:

9.42

Step-by-step explanation:

6 0
2 years ago
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