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sveticcg [70]
3 years ago
13

Suppose the integral from 2 to 8 of g of x, dx equals 12, and the integral from 6 to 8 of g of x, dx equals negative 3, find the

value of 2 times the integral from 2 to 6 of g of x, dx .
7.5
15
18
30
Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0

\displaystyle\int_2^8g(x)\,\mathrm dx=12

\displaystyle\int_6^8g(x)\,\mathrm dx=-3

Use the fact that integrals are additive on their intervals. Mathematically, if c\in[a,b], then

\displaystyle\int_a^bg(x)\,\mathrm dx=\int_a^cg(x)\,\mathrm dx+\int_c^bg(x)\,\mathrm dx

So we have

\displaystyle2\int_2^6g(x)\,\mathrm dx=2\left(\int_2^8g(x)\,\mathrm dx-\int_6^8g(x)\,\mathrm dx\right)=2(12-(-3))=30

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Anna11 [10]

Answer:

Yes, there are infinite triangles with the same three angles but different side lengths

Step-by-step explanation:

we know that

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There are infinite triangles with the same three angles but different side lengths

6 0
3 years ago
What is the product of 6(x^2-1) * 6x-1/6(x+1)
umka2103 [35]
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3 years ago
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Mrrafil [7]

Step-by-step explanation:

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6 0
2 years ago
5 cups to 8 cups MATH HELP!
Nonamiya [84]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal
Contact [7]

Answer:

\dfrac{15}{2}

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

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We need to find an expression expressed as a decimal.

So,

\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}

So, the final answer is \dfrac{15}{2}.

4 0
3 years ago
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