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2 years ago

7

Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit

cubes in every unit cube. 12 1

1 answer:

Tema [17]2 years ago

4 0

Answer: 3

Step-by-step explanation: QPEX VERIFIED JUST DID IT

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Lim x--> 0 (e^x(sinx)(tax))/x^2

Tom [10]

Make use of the known limit,

$\displaystyle\lim_{x\to0}\frac{\sin x}x=1$

We have

$\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)$

since $\tan x=\dfrac{\sin x}{\cos x}$ , and the limit of a product is the same as the product of limits.

$\dfrac{e^x}{\cos x}$ is continuous at $x=0$ , and $\dfrac{e^0}{\cos 0}=1$ . The remaining limit is also 1, since

$\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1$

so the overall limit is 1.

4 0

3 years ago

Find the sum of the polynomials. <br> 3 x 4 + 4x² + 6x + 7 <br>+ 3x^3 - 8x - 7

34kurt

12+4x^2+3x^3-2x is the answer.

5 0

2 years ago

the train travels 16 miles in 20 minutes, at this rate how, many muients will it take to travel12 miles

lana66690 [7]

Answer:

sorry if this is confusing

Step-by-step explanation:

16 miles = 12 miles

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

20 mins. how many mins?

16 = 12 cross multiply 16? = 240 divide by 16 240 divided by 16 = 15 miles

20 ? because 15 x 16 = 240

8 0

2 years ago

Two step equations algebra 3x+2=11

valentinak56 [21]

Answer:

3x+2=11

-2 -2

3x=9

3/3

9/3

x=3

Final answer : x = 3

Hope it helped! : )

8 0

3 years ago

Read 2 more answers

Can you estimate both of these addends 7 2/5 + 6 3/8 to get your estimated answer?

jek_recluse [69]

You can estimate 7 2/5 to 7 and estimate 6 3/8 to 6 1/2. And add them both up. If u add them, you get 13 1/2

3 0

3 years ago