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Readme [11.4K]
3 years ago
8

Chapter 2 Test, Form 2

Mathematics
2 answers:
Softa [21]3 years ago
8 0

1.) -49

2.) 24

3.) 27

4.) 28

5.) 15

Kamila [148]3 years ago
5 0
1.) -49
2.) 24
3.) 27
4.) -4
5.) 15
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The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+
jekas [21]

Answer:

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

Step-by-step explanation:

R'(x)=(x+1)\ln(x+1)

Integrate with respect to x.

R(x)= ∫(x+1)\ln(x+1) dx

Take x+1=u

Differentiate with respect to x

dx=du

So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

=  \frac{u^2}{2}\ln(u) -  ∫\frac{u}{2}\,du

Put u=x+1

R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

R(x)=   \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

4 0
3 years ago
Solve for the variable <br> -14 = x -7<br> -12x = 60<br> x+11 = -11<br> - x/4 = 2
Maurinko [17]
1) x= -7
2) x= -5
3) x=-22
4) x =8
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I tried to help :)
6 0
3 years ago
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Please help! I’m not sure what order they go in! (7th grade math)
avanturin [10]

Answer:

30: -5, -2, | 2 |, | 3 |, 8

    31: -7, -6, | 5 |, | -6 |, 8

32: -12, | 10 |, | -12 |, | -15 |, | -26 |

    33: -17, | -11 |, | 20 |, 21, | -34 |

Step-by-step explanation:

The absolute value turns a negative function into a positive one.

    Example: | -24 | would become 24

If it is positive, it stays the same.

    Example: | 14 | would simple be 14

7 0
3 years ago
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Find the domain of 2y-b/y
vredina [299]
(-∞,0) ∪ (0,∞) is your answer, for any other questions please ask!
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3 years ago
A cylinder has a radius of 6 inches and a height of 15 inches. what is the surface area of the cylinder ? express the answer in
Liono4ka [1.6K]

Answer:

252pi (B)

Step-by-step explanation:

Find the area of the bases (2 * pi * r^2)

r = 6, so:

72pi = total area of bases

Find the area of the side (pi * 2 * r * h)

r = 6 and 15 = h, so:

180 pi = area of the side

180pi + 72pi = 252pi (B)

5 0
3 years ago
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