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2 years ago

Integrate the following by parts |xcos x dx

1 answer:

5 0

$\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C$

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Thomas bought several paintbrushes for $4 each. He paid with a $20 bill. The expression 20 – 4n is used to determine how much ch

Tresset [83]

Answer:

the variable n represents how many of the product thomas bought

Step-by-step explanation:

20 dollars is the initial amount of money, and for every paintbrush, you have to subtract 4 dollars from thomas's initial amount, and the result of the subtraction is the amount of change he will recieve.

4 0

2 years ago

Subtract 8 y^2 − 5 y + 7 from 2 y^2 + 7 y + 1 1 <br><br> The answer is: −6y ^2 +12y+4

lys-0071 [83]

Answer:

$\large\boxed{-6y^2+12y+4}$

Step-by-step explanation:

$(2y^2+7y+11)-(8y^2-5y+7)\\\\=2y^2+7y+11-8y^2-(-5y)-7\\\\=2y^2+7y+11-8y^2+5y-7\qquad\text{combine like terms}\\\\=(2y^2-8y^2)+(7y+5y)+(11-7)\\\\=-6y^2+12y+4$

4 0

3 years ago

Pleaseeeeeeee helllppppppppppp

Sophie [7]

Answer:

Distributive property

Step-by-step explanation:

Think of Distributive property being a party. the host is outside of the house (the parenthesis) and wants to greet everyone at the party. so 2x3k=6k and 2x5=10. so you replace 2(3k+5) with 6k+10

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2 years ago

A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in ye

alexdok [17]

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

$age = 10$ when $height = 0$

<em>Hence, the age of the car is 10 years</em>

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2 years ago

What comes next simplify 31/50,17/25,37/50,4/5,...

Ganezh [65]

43/50

31/50=0,62

17/25=0,68(0,06 more)

37/50=0,74(0,06 more)

4/5=0,8(0,06 more)

43/50=0,86(0,06 more)

Next decimal should be 0,86

You need to find a fraction from the decimal 0,86

0,86=86/100=43/50

6 0

2 years ago

Integrate the following by parts |xcos x dx​

Integrate the following by parts |xcos x dx