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emmasim [6.3K]
3 years ago
5

Please help, due today​

Mathematics
2 answers:
Jlenok [28]3 years ago
7 0

Answer:



Step-by-step explanation:

V=\pi r^{2}*H

V=3.14*4*4*8

V=401.92in^{2}

Zepler [3.9K]3 years ago
5 0

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=8 \end{cases}\implies V=\pi (4)^2(8) \\\\\\ V=128\pi \implies \stackrel{using~\pi =3.14}{V=401.92}

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note that gradient = \frac{dy}{dx} at x = a

calculate \frac{dy}{dx} for each pair of functions and compare gradient

(a)

\frac{dy}{dx} = 2x and \frac{dy}{dx} = - 1

at x = 4 : gradient = 8 and - 1 : 8 > - 1

(b)

\frac{dy}{dx} = 2x + 3 and \frac{dy}{dx} = - 2

at x = 2 : gradient = 7 and - 2 and 7 > - 2

(c)

\frac{dy}{dx} = 4x + 13 and \frac{dy}{dx} = 2

at x = - 7 : gradient = - 15 and 2 and 2 > - 15

(d)

\frac{dy}{dx} = 6x - 5 and \frac{dy}{dx} = 2x - 2

at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11

(e)

y = √x = x^{\frac{1}{2} }

\frac{dy}{dx} = 1/(2√x) and \frac{dy}{dx} = 2

at x = 9 : gradient = \frac{1}{6} and 2 and 2 > \frac{1}{6}


4 0
3 years ago
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timurjin [86]

Answer:

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Step-by-step explanation:

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Dafna11 [192]

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Add  2  to each side:                      2  >  x

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