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STALIN [3.7K]
2 years ago
5

Evaluate Integral: 2sin(2x) from 0, pi/2

Mathematics
1 answer:
Neko [114]2 years ago
8 0
Integral of 2sin(2x) is -cos(2x)
from 0 to pi/2 (sub pi/2 minus sub 0 for x) and then solve
= -cos(2*pi/2)-(-cos0)
= -cos pi + cos 0
= 1 + 1
= 2 
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SOMEONE PLEASE HELP I will mark you BRAINLIST
Lana71 [14]

Answer:

27 degrees

Step-by-step explanation:

We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:

Angle AEF + EAF + AFE = 180

63 + 90 + AFE = 180

153 + AFE = 180

AFE = 27

<em>Or we can solve it another way</em>

Since EAF is a right angle, the other angles are complementary (they add up to 90) so...

Angle AEF + AFE = 90

63 + AFE = 90

AFE = 27

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An office supply company sells two types of fax
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14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.

To solve this problem, we would write a system of linear equations.

  • Let x represent the machine that cost $150
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We can proceed to write our equations now.

x + y = 22...equation(i)\\150x + 225y = 3900...equation(ii)

From equation 1

x+ y = 22\\x = 22 - y...equation (iii)

<h3>The Value of Y</h3>

put equation (iii) into (ii)

150x + 225y =3900\\x = 22-y\\150(22-y)+225y=3900\\3300-150y+225y=3900\\3300+75y=3900\\75y=3900-3300\\75y=600\\75y/75=600/75\\y=8

<h3>The Value of X</h3>

Since we know the number of y, we can simply substitute it into equation (i) and solve.

x + y = 22\\x + 8 = 22\\x = 22-8\\x = 14

From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.

Learn more about system of equations here;

brainly.com/question/13729904

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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

(1) 56 miles/hour

Step-by-step explanation:

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The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

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