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likoan [24]
2 years ago
10

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP
SHOW YOUR WORKKKKKKKKKKKKKKKKKK




1) Evaluate the following expression. Show your work and EXPLAIN each step needed to determine the value.

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:

1/2 x -5/2 = -5/4

-1 1/4 + -1/4

-1 2/4

- 1 1/2

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The masses mi are located at the points pi. find the moments mx and my and the center of mass of the system. m1 = 2, m2 = 5, m3
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Most graphing calculators will do weighted averages pretty easily. It is mostly a matter of data entry.

mx = -2
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(x, y) = (mx, my)/10 = (-0.2, 1)

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3 years ago
The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

____________

(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span />\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}
5 0
3 years ago
Can someone please help me on this
choli [55]

Answer:

if you flipped one of the figures you will see that they are both the same shape and the same distance from the x and y axes.

3 0
3 years ago
The college student spent 10 times as much on Pizza as he did on Laundry. If his laundry and pizza bills for the year were $495,
Solnce55 [7]

The college student spends 45 dollars on laundry.

To find this you have to divide 495, by 11. This is because the question states "the college student spends 10 times more on pizza than laundry", which means the cost of the laundry (l) is added to the cost of pizza (10p). Dividing 495 by 11, you get 45.

As I stated earlier, the cost of laundry is added to the cost of pizza. 45 * 10 is 450. 450 + 45 = 495. Thus making 45 the answer.

I hope this helps!

4 0
3 years ago
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