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zimovet [89]
3 years ago
15

If F ( x ) = 2 x - 1, find the zero of F -1( x ). A) -1 B) 1/2 C) 1

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

A.

Step-by-step explanation:

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Find the lateral area and the surface area of the right cone. Round your nearest answers to the nearest hundredth
S_A_V [24]

Step-by-step explanation:

Given that,

The height of the cone, h = 24 cm

The radius of the cone, r = 10 cm

The slant height of the cone is :

l=\sqrt{h^2+r^2} \\\\l=\sqrt{24^2+10^2} \\\\l=26\ cm

The lateral area of the cone is given by :

A=\pi rl\\\\=3.14\times 10\times 26\\\\=816.4\ cm^2\approx 816\ cm^2

The surface area of the cone is given by :

A=2\pi rh\\\\=2\times 3.14\times 10\times 24\\\\=1507.2 \approx 1507\ cm^2

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3 years ago
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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}

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\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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