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4 years ago

12

Evaluate 4(5*1÷20) name the property used in each step

1 answer:

Aliun [14]4 years ago

3 0

Hey!

-------------------------------------------------

~Given

4(5 * 1 ÷ 20)

~Multiplication

4(5 ÷ 20)

~Division

4(0.25)

~Multiplication

1

~Answer

1

-------------------------------------------------

Hope This Helped! Good Luck!

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Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].

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The absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0.$

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Differentiate of $f$ both sides w.r.t. $t$ ,

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$\Rightarrow 2\sin ^2t+2\sin t-\sin t-1=0$

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$\Rightarrow (\sin t+1)(2\sin t-1)=0$

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$f''(t)=-2\cos t-4\sin 2t$

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Thus, $f(t)$ is maximum at $t=\frac {\pi}6$ and minimum at $t=0$

$\left[f(t)\right]_{t=\frac {\pi}6}=2\times \frac {\sqrt 3}2+\frac{\sqrt 3}2=\frac{3\sqrt 3}2\;\text{and}\;\left[f(t)\right]_{t=\frac{\pi}2}= 2\times 0+0=0$

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