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2 years ago

The coordinates of the vertices if JKL are J(0,2),K(3,1),And K(1,-5)

Mathematics

1 answer:

Anika [276]2 years ago

7 0

Answer:

K(3,1),And K(1,-5),j(0,2) t

Step-by-step explanation:

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

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2 years ago

What is negative twenty-five plus twenty-five

SVEN [57.7K]

Negative and a positive makes a negative.

So, -25 + 25 = 0

6 0

3 years ago

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Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a height of 10 meters and a circular base wi

nirvana33 [79]

Answer: Volume of an oblique cylinder is 2011.43 sq.m.

Step-by-step explanation:

Since we have given that

Radius of a cylinder = 8 meters

Height of a cylinder = 10 meters

Cavelieri's Principle states that volume of an oblique cylinder is same as the volume of right circular cylinder with equal radius and height.

As we know the formula for "Volume of cylinder":

$Volume=\pi r^2h\\\\V=\frac{22}{7}\times 8\times 8\times10\\\\V=\frac{14080}{7}\\\\V=2011.43$

Hence, Volume of an oblique cylinder is 2011.43 sq.m.

7 0

2 years ago

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G(x)=4x-7 find g(-9)

FinnZ [79.3K]

Answer:

-43

hope it helps

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3 years ago

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Help please! I just need to know how to do this step by step...

Alex787 [66]

-8 - 5n = 64 + 3n

+5n +5n add 5n to both sides, 5n's cancel out on the left.

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-8 = 64 + 8n

-64 -64 subtract 64 on both sides, 64's cancel out on the right.

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-72 = 8n

___ ___ divide 8 on both sides, 8's cancel out from the right.

8 8

n= -9, final answer

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2 years ago

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