All categories

3 years ago

Differentiate y = csc(x) − cot(x).

2 answers:

4 0

$\bf y=csc(x)-cot(x)\implies \cfrac{dy}{dx}=[-csc(x)cot(x)]~~-~~[-csc^2(x)]
\\\\\\
\cfrac{dy}{dx}=csc^2(x)-csc(x)cot(x)$

Fudgin [204]3 years ago

3 0

− cot ( x ) csc ( x ) + csc 2 ( x )

You might be interested in

Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of

Serga [27]

Answer: 50

Step-by-step explanation:

[6+√-64] × 3-√-16

(6+8i)(3-4i)

6(3-4i)+8i(3-4i)

18-24i+24i+32

18+32=50

<h3> the answer is 50</h3>

5 0

3 years ago

Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. Does s

Zepler [3.9K]

Answer:

Julia has enough gallons of gas to mow the two yards.

Step-by-step explanation:

The complete question is :

Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. She has 1 1/2 gallons of gas in her can. Does she have enough to mow both yards? Explain.

Given:

Julia has to mow 2 yards.

For the first yard she would require $\frac{13}{16}$ gallon of gas.

For second yard she would require $\frac{2}{5}$ gallon of gas.

She has $1\frac{1}{2}$ gallon of gas in her can.

To find if she has enough gas to mow the two yards.

Solution:

In order to find the total gas she would require to mow two yards, we will add the amounts of gas required for each yard.

<em>Total amount of gas required to mow 2 yards is :</em>

⇒ $\frac{13}{16}+\frac{2}{5}$

<em>To add fractions we will need take least common denominator between 16 and 5. </em>

On comparing the multiples of 16 and 5, we find out the least common multiple is 80.

To make the denominators common, we will multiply the numerators and denominators with such a number that gives 80 as denominator.

So, we have:

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Then, we add the numerators.

⇒ $\frac{97}{80}$

⇒ 1.21 gallons

Julia has $1\frac{1}{2}$ gallons of gas which is = 1.5 gallons.

Since 1.5>1.21, therefore we can say Julia has enough gallons of gas to mow the two yards.

6 0

3 years ago

Can anyone help me with this?

Papessa [141]

Answer:

5n-10 < 6n-8

n - is the variable that's stands for the unspecified number

step 1. ten is less than 5 times a number

step 2. LESS THAN SIGN :)

step 3. six times the number decreased by 8

......................

oh and if you're looking to simplify that problem I believe it would be worked out like this....5n-10<6n-8....subtract 5 from both sides....-10

6 0

3 years ago

Solve equation 3k+45=8k+25

Brrunno [24]

Answer:

k=4

Step-by-step explanation:

First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.

5 0

4 years ago

Read 2 more answers

John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. The

Nuetrik [128]

Answer:

7 dollars

Step-by-step explanation:

do 20.50 minus 13.50 but you can just take out the .50 because both sides have them and they will cancel out anyways then its just 20 minus 13 and that is 7.

6 0

4 years ago