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Eddi Din [679]
2 years ago
13

30pts! Brainliest! Calculus 2!

Mathematics
1 answer:
masha68 [24]2 years ago
4 0
Substitute 1/x with u
dx = -x^2 du
-1/4 integral of e^u•du
Apply exponential rule -(e^u)/4
Undo the substitution u is 1/x
Answer is (-(e^1/x)/4 ) + C
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The map scale on a map is 1/4 inch represents 300 miles. If the distance measured between two cities on the map is 3 inches, wha
slavikrds [6]

Answer:3600 miles

Step-by-step explanation:

7 0
3 years ago
Is /1.33 a rational number
SpyIntel [72]
Yes, it is a rational number.
6 0
2 years ago
The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg
taurus [48]

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

\frac{x}{2}

and

\frac{x}{2}  \sqrt{3}

Where x is the longest side, which is given as 18.

Therefore one leg will be:

\frac{18}{2}  = 9

and the other leg will be:

\frac{18}{2}  \sqrt{3}  = 9 \sqrt{3}

4 0
3 years ago
F(x)=4x-8 and g(x)=5x+6, find (f+g)(x)
ASHA 777 [7]

Answer:

9x-2

Step-by-step explanation:

Since you are adding the two functions, you should first start adding like terms. 4x + 5x is 9x. -8 + 6 is -2. Thus the value of (f+g)(x) is 9x-2.

3 0
3 years ago
Prove that : cos10° - sin10° / sin10° + cos10° = tan35°​
Digiron [165]

Step-by-step explanation:

(cos 10° − sin 10°) / (cos 10° + sin 10°)

Rewrite 10° as 45° − 35°.

(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))

Use angle difference formulas.

(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)

sin 45° = cos 45°, so dividing:

(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)

Combining like terms:

(2 sin 35°) / (2 cos 35°)

Dividing:

tan 35°

3 0
3 years ago
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