All categories

2 years ago

Which of the following depicts a graph of a polynomial with a positive leading coefficient?

Mathematics

2 answers:

nataly862011 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

kaheart [24]2 years ago

4 0

Answer:

Step-by-step explanation:

B is the graph of x^2.

A is the graph of -x^2 + b

C is the graph of -x^3

D has a negative slope.

You might be interested in

Pls answer ASAP<br> 5 extra points

Leona [35]

Answer:

The answer is B.

Step-by-step explanation:

Any percentage is a number divided by 100 . So 0.4%=0.4100 . Dividing 0.4 by 100 gives 0.004 .

5 0

3 years ago

Choose the best coordinate system to find the volume of the portion of the solid sphere rho <_4 that lies between the cones φ

MrRissso [65]

Answer:

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

Step-by-step explanation:

We get the limits of integration:

$R=\left\lbrace(\rho, \varphi, \theta):\, 0\leq \rho \leq 4,\, \frac{\pi}{4}\leq \varphi\leq \frac{3\pi}{4},\, 0\leq \theta \leq 2\pi\right\rbrace$

We use the spherical coordinates and we calculate a triple integral:

$V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}}\int_0^4 \rho^2 \sin \varphi \, d\rho\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \left[\frac{\rho^3}{3}\right]_0^4\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \cdot \frac{64}{3} \, d\varphi\, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} [-\cos \varphi]_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\$

we get:

$V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}$

So, the volume is:

$\boxed{V=\frac{128\sqrt{2}\pi}{3}}$

4 0

2 years ago

Desiree created a website with separate pages for videos, games, photos and poems. She made the table below to

dusya [7]

Answer: 3 to 2

Step-by-step explanation:

You simplify the ratio :)

3 0

2 years ago

3/8 x 7 4/12 this has taken too long lol

Pie

Answer:

2.75

Step-by-step explanation: hope this helps.

5 0

2 years ago

Read 2 more answers

The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are semi

Alexus [3.1K]

Answer:

The volume of the solid will be = 134.1 cubic units.

Step-by-step explanation:

The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.

Therefore, the solid will be the shape of a hemisphere.

Now, the radius of the hemisphere will be 4 units.

{Since the base of the hemisphere is on the xy-plane and have equation

x² + y² = 4²}

Therefore, the volume of the solid will be = $\frac{2}{3}\pi r^{3} = (\frac{2}{3})\times (\frac{22}{7}) \times (4^{3}) = 134.1$ cubic units. (Answer)

6 0

2 years ago