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sertanlavr [38]
3 years ago
12

A particle of mass m is projected from point A with an initial velocity v0 perpendicular to line OA and moves under a central fo

rce F along a semicircular path of diameter OA. Observing that r = r0 cos θ and r 2 q = h, show that the speed of the particle is v = v0 /cos2 θ

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer:

Detailed solution is given :

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Which equation would intersect the line on the graph at the point (1, 2)<br>​
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Show the graphs so we can see
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Find the limit, if it exists, or type dne if it does not exist.
Phantasy [73]
\displaystyle\lim_{(x,y)\to(0,0)}\frac{\left(x+23y)^2}{x^2+529y^2}

Suppose we choose a path along the x-axis, so that y=0:

\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1

On the other hand, let's consider an arbitrary line through the origin, y=kx:

\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}

The value of the limit then depends on k, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
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3 years ago
A road race is 13 1/2 miles long. There are water stations every 3/4 if a mile including at the finish line. How
Margarita [4]

The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.

<h3>What is the number of water stations along the road race?</h3>

It follows from the task content that the number of water stations can be determined as follows;

13 1/2 ÷ 3/4

= 27/2 × 4/3

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Read more on fraction division;

brainly.com/question/407943

#SPJ1

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Answer:

-5,7

Step-by-step explanation:

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