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Rzqust [24]
2 years ago
13

Please help out with this question..

Mathematics
1 answer:
Sophie [7]2 years ago
8 0

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

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If f(x) = 5^x2 - 3 and g(x) = x2 - 4x - 8, find (f - g)(x).
kkurt [141]

Answer:

4x² + 4x + 5

Step-by-step explanation:

Note that (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

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3 years ago
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Vlad1618 [11]

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Have a nice day.

7 0
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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx
sweet-ann [11.9K]

Given :

Polynomial , f(x)=x+\dfrac{5}{x^2}+10x+26 .

To Find :

Integration of f(x) .

Solution :

We know , integration of x^n is :

\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C

( Here , is C is a constant )

Now ,

\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\                  \\                 \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\                 \\                 \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\                 \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C

Therefore , the integration is \dfrac{11x^2}{2}+26x-5x^{-1}+C .

Hence , this is the required solution .

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