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2 years ago

HOW CAN YOU DETERMINE THE END BEHAVIOR OF A POLYNOMIAL FUNCTION?

Mathematics

2 answers:

fiasKO [112]2 years ago

4 0

Answer:

as x approaches positive infinity or negative infinity, the degree and the leading coefficient of a polynomial function determines the end behavior of the graph

straight from gogle

Svetlanka [38]2 years ago

3 0

Answer:

Hi there!

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis

I'm sorry if that is not clear enough!

Best wishes,

Pandora

Step-by-step explanation:

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Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

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2 years ago

A cone has volume 12 cubic inches. Its radius is 2 inches. What is its height?

Paladinen [302]

Answer:

h≈2.86

Step-by-step explanation:

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2 years ago

Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8

larisa86 [58]

-9x^3-72x^2+36=3x^3+x^2-3x+8 Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8 Add 72x^2 to both sides

36 = 12x^3 + 73x^2 - 3x + 8 Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

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2 years ago

In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:

dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

$m\angle 1 = 180\degree- 160\degree$

$\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}$

Alternate method:

$m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]$

$\implies m\angle 1 = 180\degree- [360\degree-200\degree]$

$\implies m\angle 1 = 180\degree- 160\degree$

$\implies m\angle 1 = 20\degree$

6 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4,7) and has a slope of o?

Svetlanka [38]

Answer:

The equation of the line that passes through the point (4,7) and has a slope of 0 will be:

$y=7$

Step-by-step explanation:

As we know the equation of a line in a slope-intercept form of an equation is

$y = mx + b$

Here,

m is the slop

b is the y-intercept

substituting the point (4,7) and slope m=0

$y = mx + b$

$7=0(4)+b$

$7=0+b$

$b=7$

Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:

$y = mx + b$

$y=0x+7$

$y=7$

5 0

2 years ago