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Gennadij [26K]
3 years ago
5

Express your answer as a polynomial in standard form.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

(f o g)(x) = -2x² - x + 4

Step-by-step explanation:

f(x) = -x + 6

g(x) = 2x² + x + 2

To find (f o g)(x), you need put g(x) into f(x).

f(x) = -x + 6

(f o g)(x) = -(2x² + x + 2) + 6

(f o g)(x) = -2x² - x - 2 + 6

(f o g)(x) = -2x² - x + 4

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
3 years ago
A system of equations is shown. 3x+4y=30 3x+5y=33. What is the value of y in the solution to the system of equations
Yuliya22 [10]

Answer: y Is equal to 3 And x Is equal to 6

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3 years ago
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Simplify for this question !
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Answer:

=6x^9-3 [12/2=6]

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6 0
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Given the area of a circle is 201.06cm2, find the diameter and circumference.
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Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

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\sin(60 \degree)  =  \frac{h}{6}

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