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babymother [125]
2 years ago
7

Please help, Will mark brainlist! :)

Mathematics
1 answer:
Jobisdone [24]2 years ago
8 0

Answer:

X=0 Y=5 hope this helps

Step-by-step explanation:

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Lim x--> 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
Does 30,40,45 make a right triangle?
zavuch27 [327]

I believe that it does.

8 0
3 years ago
Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditiona
WINSTONCH [101]
<span>Conditional Statement: "If an angle is 150 degrees, then it is an obtuse angle." Converse: "If an angle is obtuse, then it is 150 degrees."</span>

Hope I Helped You!!! :-)

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5 0
3 years ago
Read 2 more answers
Simplify the expression<br> -5d+3c-4d
Sever21 [200]

Answer:

4d i think im not sure???hoped it helped?

5 0
2 years ago
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A plane travels 264 miles in 1.1 hours against the wind. On the return trip, it travels the same 264 miles in 1
bagirrra123 [75]

Answer:

The speed of the wind is 12 miles per hour.

Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

264 / 1.1 = X

240 = X

Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.

Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).

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2 years ago
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