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3 years ago

Divide. Use place-value blocks or area models to help.

Mathematics

1 answer:

Shalnov [3]3 years ago

5 0

Answer:

a 5,900÷90=65.5555555556

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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 $csc(x)=\frac{1}{sinx}$ and $cot(x)=\frac{cosx}{sinx}$

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

$\frac{1-cos0}{sin0}$

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

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3 years ago

4(x+1) - 7 = 3(x-1) + x

alisha [4.7K]

Answer:

do you need it to be simplified?

5 0

3 years ago

temperature in Alexandria Kentucky from 45 degrees to 10 degrees in 5 hours what is the average change in temperature per hour

Leno4ka [110]

So the difference between 45 and 10 is..
35 (omygad)

You have to divide 35/5 to get the average drop in the temperature PER HOUR, meaning 7 degrees per hour.

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3 years ago

What is 5.6742+12345 kg

Lady_Fox [76]

12345
+ 5.6742
12350.6742 kg

5 0

3 years ago

Read 2 more answers

Can someone help me out my grads are bad

Pani-rosa [81]

Answer:

162

Step-by-step explanation:

9 x 6 = 54

18 x 6 = 108

108 + 54 = 162

8 0

2 years ago

Divide. Use​ place-value blocks or area models to help.

Divide. Use place-value blocks or area models to help.