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2 years ago

The square root of 1/144 simplified

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

8 0

1/12 is the square root of 1/144

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Write the expression in radical form. <img src="https://tex.z-dn.net/?f=%2836x%29%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="

Ksenya-84 [330]

√36x

All under the radical

4 0

2 years ago

Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]

Molodets [167]

For convenience sake, I will let $y=f(x)=9e^{x}\sin x$

First, we evaluate the function at the endpoints of the interval.

$f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0$

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

$f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)$

Setting this equal to 0,

$9e^x (\cos x+\sin x)=0$

Since $9e^x > 0$ , we can divide both sides by $9e^x$ .

$\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}$

$f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}$

So, the absolute minimum is $\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}$ and the absolute minima are $\boxed{(0,0), (\pi, 0)}$

3 0

1 year ago

What are the first four multiples of 4

avanturin [10]

4. 8. 12. 16 I'm like pretty sure

4 0

2 years ago

Read 2 more answers

hello! I’m very confused on this question, I want to know if my format is good? I currently have x^2-14x=16 Am I on the right tr

yulyashka [42]

Answer:

according to me

Step-by-step explanation:

yes u r correct

;]

3 0

3 years ago

Simplify the following polynomials: (Use the ^ symbol to represent exponents)

nata0808 [166]

Important: Please express exponents properly: -2x^2 Correct
-2x2 Not correct

Rewrite (-2x2 -6x + 7) - (3x3 - 5x + 14)

as

- 2x^2 -6x + 7
- (3x^3 - 5x + 14)
__________________

Even better, write each power of x in its own column:

- 2x^2 -6x + 7 - 2x^2 -6x + 7
- 3x^3 + 5x -14 - 3x^3 + 5x -14
--------------------- ------------------------------
-3x^3 - 2X^2 - X - 7 (ANSWER)

8 0

3 years ago