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Masteriza [31]
3 years ago
11

A forester planted 3 acres in seedlings the first day, 5 acres the second day, and

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

9 acres remain

Step-by-step explanation:

First day:

3 acres

Second day:

5 acres were planted. 5 + 3 = 8

Third day:

4 acres were planted. 4 + 8 = 12

If 3 acres were destroyed, we just subtract!

12 - 3 = 9.

9 acres of seedlings remain.

I hope this helped! :)

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3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
3/4 divided by n = 24
Sophie [7]
The answer is n= 1/32

4 0
3 years ago
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A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?
Harlamova29_29 [7]
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3 years ago
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HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!!
zmey [24]

Answer:

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Step-by-step explanation:

Given the equations

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2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

3x + 18 + 3x = 6

6x + 18 = 6 ( subtract 18 from both sides )

6x = - 12 ( divide both sides by 6 )

x = - 2

Substitute x = - 2 into (1) and solve for y

3(- 2) + 2y = 6

- 6 + 2y = 6 ( add 6 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (- 2, 6 )

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