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Artemon [7]
3 years ago
7

I need help ASAP please giving brainliest!!

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
3 years ago
What is first three common multiples of 4,9,and 12​
wel

Answer:

36 is the answer of this question

4 0
3 years ago
Read 2 more answers
Clara has read 3/4 of a book. Camille said she had read 1/2 as much as Clara. What fraction of the book has Camille read?
neonofarm [45]

It is multiplication? If it is, the answer is 6/8. Simplified it is 3/4.

6 0
3 years ago
563 - 89 show your work
pickupchik [31]
The answer is 474 very simple.

5 0
3 years ago
Given -3x + 2y = 1 and x = 5, solve for y.<br><br> a.-7<br><br> b.7<br><br> c.-8<br><br> d.8
eduard

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

-3(5) + 2y = 1

-15 + 2y = 1

2y = 1 + 15

2y = 16

Dividing both sides by 2, we get

y = 8

Thank you.


7 0
3 years ago
Read 2 more answers
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