Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]

Step-by-step explanation:

Rad [0,2]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=/3(Rad) or 60°(Deg)

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33