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alina1380 [7]
2 years ago
6

Need this answer please

Mathematics
2 answers:
marshall27 [118]2 years ago
6 0

Answer:

line s

Step-by-step explanation:

emmainna [20.7K]2 years ago
3 0

Answer:

your answer will be line r

Step-by-step explanation:

hope it help

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Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

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

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
3 years ago
180537.5 what is it simplified??
olga_2 [115]
180537.5 simplified is 180538
6 0
3 years ago
The sales tax in Kadisha's state is 5%. Kadisha says she computes a 15% tip by multiplying the tax shown on her bill by 3. For a
lapo4ka [179]

Explanation:

Kadisha's method works because 15% is 3 times 5%, and both amounts are computed on the amount of the bill before tax is added.

7 0
3 years ago
Find the area of the shaded
mestny [16]

Answer:

40.5 m²

Step-by-step explanation:

Area of the shaded = area of the square - area of the triangle

Area of square = s²

s = 9 m

Area of square = 9² = 81 m²

Area of triangle = ½*b*h

b = 9 m

h = 9 m

Area of triangle = ½*9*9 = 40.5 m²

Area of the shaded = 81 - 40.5 = 40.5 m²

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2 years ago
How to describe an arithmetic sequence in your own words
never [62]
An arithmetic sequence is a pattern of numbers that increase or decrease at a constant amount.
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