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Anastaziya [24]
2 years ago
15

What is the result when 16x3 + 12x2 + 14x + 3 is divided by 4x + 1?

Mathematics
1 answer:
oee [108]2 years ago
3 0

Answer: i think that is the ans

Step-by-step explanation:

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Show why the limit as x approaches 0 (csc(x)-cot(x)) involves an indeterminate form, and then prove that the limit equals 0.
Nadusha1986 [10]

Answer with Step-by-step explanation:

We are given that \lim_{x\rightarrow 0 }(csc(x)-cot(x))

We have to prove that why the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form and prove that the limit equals to 0.

\lim_{x\rightarrow 0 }(\frac{1}{sinx}-\frac{cosx}{sinx})

Because csc(x)=\frac{1}{sinx} andcot(x)=\frac{cosx}{sinx}

\lim_{x\rightarrow 0 }(\frac{1-cosx}{sinx})

\frac{1-cos0}{sin0}

We know that cos 0=1 and sin 0=0

Substitute the values then we get

\frac{1-1}{0}=\frac{0}{0}

We know that \frac{0}{0} is indeterminate form

Hence, the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form.

L'hospital rule:Apply this rule and  differentiate numerator and denominator separately when after applying \lim_{x\rightarrow a }we get indeterminate form\frac{0}{0}

Now,using L' hospital rule

\lim_{x\rightarrow 0 }\frac{0+sinx}{cosx}

because \frac{dsinx}{dx}=cosx,\frac{dcosx}{dx}=-sinx}

Now, we get

\lim_{x\rightarrow 0 }\frac{sinx}{cos x}

\frac{sin0}{cos0}

\frac{0}{1}=0

Hence,\lim_{x\rightarrow 0 }(csc(x)-cot(x))=0

5 0
2 years ago
About 60,000 acres of wetlands are lost each year in the United states. What integer represents the change in wetlands after 4 y
QveST [7]

Over 4 years, there will be a loss of 60,000 acres per year, so 60,000 times 4 is equal to 240,000 acres. 240,000 is positive because the problem asks for the change, not the increase.

This is the work you will show


c=-60,000(4)

c=-240,000


So -240,000 represents the change.


You could also just count by -60,000 four times.


-60,000-60,000-60,000-60,000=-240,000.

4 0
3 years ago
They is 1440 cubic inches and the area of the base is 144 what is the hight
HACTEHA [7]

To find the volume of something, you do the area times the height. In this case you already know the volume so you solve it like this:

(x represents the height since you don't know the value)

1440= 144 * x

1440 = 144x

1440/144= 144x/144

10 = x

Your height is 10:)

5 0
3 years ago
Share ur negativity…
Dima020 [189]

Answer:

I'm almost 30,000 dollars in debt

Step-by-step explanation:

It makes me cry

7 0
3 years ago
Read 2 more answers
Find the number of gallons in 6 liters of solution(1gal=3.79l)
ohaa [14]
6 divided by 3.79 = 1.583 gallons
3 0
3 years ago
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