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Ad libitum [116K]

3 years ago

12

A group of workers can plant at a group of workers can plant at a rate of 14 acres per day How many acres can they plant in 2 da

ys

1 answer:

Alika [10]3 years ago

6 0

Answer:

28 acres

Step-by-step explanation:

If the workers can plant 14 acres in one day then they can double that in two days.

14 × 2 = 28

Have a beautiful day! :)

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Pythagorean theorem problem <br><br> b = 2.1, c = 2.9

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Explain on the next slide how in 3 hours the car wouldn't travel 160 miles.

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Step-by-step explanation:

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3 years ago

The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.

77julia77 [94]

Answer:

43.96 or C

Step-by-step explanation:

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2 years ago

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3 years ago

Consider the function on the interval (0, 2π). f(x) = 7 sin2(x) + 7 sin(x) (a) Find the open interval(s) on which the function i

-BARSIC- [3]

Answer with Step-by-step explanation:

Given

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$14cos(2x)+7cos(x)=f'(x)$

Now we know that for an increasing function we have

$f'(x)>0\\\\14cos(2x)+7cos(x)>0\\\\2cos(2x)+cos(x)>0\\\\2(2cos^{2}(x)-1)+cos(x)>0\\\\4cos^{2}(x)+cos(x)-2>0\\\\(2cos(x)+\frac{1}{2})^2-2-\frac{1}{4}>0\\\\(2cos(x)+\frac{1}{2})^2>\frac{9}{4}\\\\2cos(x)>\frac{3}{2}-\frac{1}{2}\\\\\therefore cos(x)>\frac{1}{4}\\\\\therefore x=[0,cos^{-1}(1/4)]\cup [2\pi-cos^{-1}(1/4),2\pi ]$

Similarly for decreasing function we have

$[tex]f'(x)$

Part b)

To find the extreme points we equate the derivative with 0

$f'(x)=0\\\\cos(x)=\frac{1}{4}\\\\x=cos^{-1}(\frac{1}{4})$

Thus point of extrema is only 1.

4 0

4 years ago