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rewona [7]
2 years ago
6

PLEASE HELP ME OUT IM FAILING MATH‍♂️ Thx

Mathematics
1 answer:
VashaNatasha [74]2 years ago
5 0
Ok I gotta I’ll help you right now
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Solve the following integral.<br><br> <img src="https://tex.z-dn.net/?f=%5Cint4x%5Ccos%282-3x%29dx" id="TexFormula1" title="\int
bagirrra123 [75]

Hi there!

\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C

7 0
2 years ago
Read 2 more answers
At Garcia's Bike Rentals, it costs $13 to rent a bike for 3 hours. How many dollars does it cost per hour of bike use?
Naily [24]

Answer:

$4.33

Step-by-step explanation:

3 hours -> $13

1 hour -> $13/3 = $4.33

5 0
2 years ago
At a flea market, Ana sold computer games for $9 each and board games for $4 each.
TEA [102]

Answer:

She sold 3 computer games and 4 board games.

Step-by-step explanation:

If I am doing this right you subtract 9 from 43 until you get the lowest number that you can subtract 9 from 43 thats goes into 4. You then subtract 4 until you get 0.

Sorry if this is confusing I didn't know how to explain it well.

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3 years ago
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 8 cm.
kogti [31]
An isosceles right triangle is composed of a right angle and two congruent acute angles. In this case, 90 + 2x = 180 where x is the acute angle. x is equal to 45 degrees. Using sine law, 8/sin 90 = y / sin 45 where y is the leg of the triangle. the leg's length is equal to 4 sqrt 2.
5 0
2 years ago
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Solve the compound inequality 8 &lt; 3 - 5x &lt; 18
otez555 [7]

Answer:

−1 > x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3−5x<18

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3 years ago
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