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fiasKO [112]
3 years ago
13

Help!!! Please Answer

Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

d sorry if I'm wrong...

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19-42 evaluate the integral.<br> 23. <img src="https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B2%7D%282%20x-3%29%5Cleft%284%20x%5E%7
34kurt

Expand the integrand:

(2x - 3) (4x^2 + 1) = 8x^3 - 12x^2 + 2x - 3

Then integrate using the power rule:

\displaystyle \int (8x^3-12x^2+2x-3) \, dx = 2x^4 - 4x^3 + x^2 - 3x + C

By the fundamental theorem of calculus, the definite integral has a value of

\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=2} - \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=0}

\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = 32 - 32 + 4 - 6 = \boxed{-2}

3 0
2 years ago
Help plz:( (plz show work)
aksik [14]
1 out of 6 so 1/6. there are 6 numbers and you only have a one out of 6 chance to roll that specific number (7).
7 0
3 years ago
How do you solve this equation: 80x =
Pepsi [2]

Answer:

Divide by 80 on both sides

7 0
3 years ago
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging mach
alexandr1967 [171]

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

p∧o = 15 %      p∧o =  0,15         nO = 150

p∧o *  nO = 0,15 *150          p∧o *  nO = 22,5

p∧n  = 8 %      p∧n  = 0,08     nN = 200

p∧n*nN  = 0,08 * 200     p∧n*nN  = 16

Both  p∧n*nN  and   p∧o *  nO    are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

4 0
3 years ago
It took a skydiver 15 seconds to drop 450 feet. What is the
Citrus2011 [14]

Answer:

30feet/second

Step-by-step explanation:

The rate in feet per seconds of the diver will be the speed of the diver.

Speed is the rate of change in distance of a body.

Speed = Distance/Time

Given distance or height of drop = 450feet

Time = 15seconds

Rate of change in distance = 450/15

Rate of change in distance = 30feet/second

5 0
4 years ago
Read 2 more answers
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