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4 years ago

Determine whether the function is odd, even, neither, or can’t be determined: g(x) = x2 + x Question options:

Mathematics

2 answers:

11111nata11111 [884]4 years ago

8 0

The answer to your question is neither.

Anastasy [175]4 years ago

7 0

I have already done this question. The correct answer is c

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Please Help NO LINKS

schepotkina [342]

$V = 864\pi$

Step-by-step explanation:

Since one of the boundaries is y = 0, we need to find the roots of the function $f(x)=-2x^2+6x+36$ . Using the quadratic equation, we get

$x = \dfrac{-6 \pm \sqrt{36 - (4)(-2)(36)}}{-4}= -3,\:6$

But since the region is also bounded by $x = 0$ , that means that our limits of integration are from $x=0$ (instead of -3) to $x=6$ .

Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

$\displaystyle V = \int f(x)2\pi xdx$

$\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx$

$\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx$

$\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6$

$\:\:\:\:\:\:\:= 864\pi$

3 0

4 years ago

-x+y+z=-1<br> -x+4y-5z=-16<br> 5x-4y-7z=0

ehidna [41]

Answer:

Step-by-step explanation:

3 0

3 years ago

Simplify 4x +3+x² – x

jeka57 [31]

Answer:

x^2+3x+3

Step-by-step explanation:

6 0

3 years ago

Write a function rule for the area of rectangle whose length is 2ft more than its width. What is the area of the rectangle when

Marianna [84]

According to the problem, the length is 2 feet more than its width, which is expressed as the following function

$l=w+2$

If the width is x, then the length is x+2.

We can express the following function for the area

$A(x)=x(x+2)$

Let's replace the width x = 11 ft.

$A(11)=11\cdot(11+2)=11(13)=143$ <h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2> $A(x)=x(x+2)$

Where x represents the width.

3 0

1 year ago

PLEAS HELP ME WITH FRACTIONS, WHOEVER IS FIRST I MAKE BRAINLIESTTTTT<br>

Romashka [77]

Answer:

$\frac{1}{9}$ × $\frac{1}{3}$

Step-by-step explanation:

Find the fraction of the <u>blue part</u> (simplify as much as possible): $\frac{1}{3}$

Find the fraction of the <u>purple part</u> (simplify as much as possible): $\frac{1}{9}$

7 0

3 years ago