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1 year ago

Find the slope of this line

Mathematics

1 answer:

Yanka [14]1 year ago

8 0

Answer:

Undefined (DNE)

Step-by-step explanation:

Any vertical line has an undefined slope.

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Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

4 0

2 years ago

Rewrite the following using the GCF and the distributive property :32 + 54

oksian1 [2.3K]

Answer:

GCF: 2

Step-by-step explanation:

GCF: 2

(2*16) + (2*27)

3 0

3 years ago

Y = x2 - 6x-16 A. Graph A B. Graph B C. Graph C D. Graph D

Ne4ueva [31]

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

5 0

2 years ago

A: value of g(2) is larger than value of g(-4)

loris [4]

Answer:

$g(2) = 4(2) - 5 \\ = 8 - 5 \\ = 3 \\ \\ g( - 4) = 4( - 4) - 5 \\ = - 16 - 5 \\ = - 21$

The answer is A

8 0

2 years ago

A batter hits a baseball 4 feet above the ground with an upward velocity of 59 feet per second. The function h(t) = -16t^2 + 49t

Anit [1.1K]

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd. time=3 seconds.

5 0

3 years ago