1 year ago

Consider f(x)=cos^2x+2cosx over one complete period beginning with x=0

1 answer:

3 0

Period is from 0 to 2pi

take the deritivive then take it again
we get f''(x)=-4cos²(x)-2cos(x)+2

it is negative between 0 and pi/3 and also between 5pi/3 and 2pi

concave down in the interval
$[0, \frac{ \pi }{3}]$ U $[\frac{ 5\pi }{3},2\pi]$

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Sonja [21]

The answer is the first one

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Answer:

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Step-by-step explanation:

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1 year ago

A test tube contains 25 bacteria, 5 of which are can stay alive for atleast 30 days, 10 of which will die in their second day. 1

boyakko [2]

Answer:

c. $\frac{1}{5}$

Step-by-step explanation:

Given,

Number of bacterias who alive for at least 30 days = 5,

Bacterias who alive for 2 days = 10,

Died bacterias = 10,

Total bacterias = 5 + 10 + 10 = 25,

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2 years ago

Graph a line with a slope of -2/5 that contains the point (-3,5)

kotykmax [81]

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

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2 years ago

Jenna eats dinner at a restaurant. Her bill is $14.50 Jenna pays her bill and leaves a tip. Write an inequality to represent the

Sophie [7]

Answer:

Step-by-step explanation:

x>14.50+y

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2 years ago