Given:
The equation is
[tex]y=\cot(x+y)[/tex]
To find:
The value of [tex]\dfrac{dy}{dx}[/tex].
Solution:
We have,
[tex]y=\cot(x+y)[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\cot(x+y)[/tex]
[tex]\dfrac{dy}{dx}=-\text{cosec}^2(x+y)\dfrac{d}{dx}(x+y)[/tex]
[tex]\dfrac{dy}{dx}=-\text{cosec}^2(x+y)(1+\dfrac{dy}{dx})[/tex]
[tex]\dfrac{dy}{dx}=-\text{cosec}^2(x+y)-\text{cosec}^2(x+y)\dfrac{dy}{dx}[/tex]
[tex]\dfrac{dy}{dx}+\text{cosec}^2(x+y)\dfrac{dy}{dx}=-\text{cosec}^2(x+y)[/tex]
[tex]\dfrac{dy}{dx}(1+\text{cosec}^2(x+y))=-\text{cosec}^2(x+y)[/tex]
[tex]\dfrac{dy}{dx}=-\dfrac{\text{cosec}^2(x+y)}{1+\text{cosec}^2(x+y)}[/tex]
Therefore, [tex]\dfrac{dy}{dx}=-\dfrac{\text{cosec}^2(x+y)}{1+\text{cosec}^2(x+y)}[/tex].
Can anybody solve this for me free 30 points and I’ll make you brainliest
Answer:
(x,y)=(3,5)
Step-by-step explanation:
4x-3(8-x)=-3
y=8-3
y=5
(x,y)=(3,5)
Lisa sold 27% of her class's fundraising goal. If she sold 81 magazine subscriptions, how many magazine subscriptic
does her class hope to sell?
Do not include units, magazine subscriptions, in your answer.
Answer:
300
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set up your equation as 81/x = 27/100 then cross multiply. (81*100)(27*x) which should get you ------> 27x=8,100. Divide both sides by 27. This leaves the x by itself while isolating your answer. You should get --------> x=300 as your answer. Thank you for your time.
whats an expression equivalent to 7/8
Answer: 7/8
Step-by-step explanation:
To find the equivalent expression of a fraction, we can either multiply numerator and denominator by same variable or same number, or we can divide both numerator and denominator by same number or same variable .
So if we multiply both numerator and denominator by 2, we will get
[tex]\frac{7*2}{8*2} = \frac{14}{16}[/tex]
Evaluate the expression 3x – 2y + 1 where x = 3 and y = 2
Answer:
6
Step-by-step explanation:
3(3) - 2(2) + 1
9 - 4 + 1
5 + 1
6
solve the sin, cos and tan of -240 degrees without calculator. Show Working
Step-by-step explanation:
sin(-240)°.
=cos(270-240)°
=cos 30°
=√3/2
cos(-240°)
=sin(270°-240°)
=sin30°
=0.5
tan(240°)
=tan(270°-240°)
=tan30°
=1/√3
Kyle and Linda are married with two children at home and a mortgage. Kyle's net pay per year is $32,000 and Linda's is $48,000. Their monthly expenses are $3,500.
Kyle and Linda each contribute 15% of their earnings to a retirement fund and they have $5,000 in savings. They also have a $100,000 life insurance policy on Kyle, but none on Linda.
As their financial advisor, what part of Kyle and Linda's financial plan would you encourage them to work on and why?
a.
Their plan for managing income.
Their net cash flow is negative.
b.
Their plan for managing their liquidity.
They are not prepared for emergencies.
c.
Their plan for retirement.
They don't contribute enough to meet their long term goals.
d.
Their plan for protecting their assets.
They should have life insurance on Linda.
Question: As their financial advisor, what part of Kyle and Linda's financial plan would you encourage them to work on and why?
ANSWER:
Their plan for protecting their assets.
They should have life insurance on Linda.
What is the reciprocal of 8 2/3
Answer:
0.11538461538
Step-by-step explanation:
Hope this helps!!
8.4 divided by 0.03 is with explaining?
Answer:
13.3 repeating
Step-by-step explanation:
Because
what does equal 35 - (-8) =??
Answer:
Step-by-step explanation:
35 - (-8) = 35 + 8 = 43
Step 1: Change the subtraction to addition.
Step 2 : Write the additive inverse of (-8) .
Step 3: Now add.
Chris worked 28 hours last month and earned $9 per hour. He spent $18 of his earnings since then.How much money does he have left
Answer:
$234
Step-by-step explanation:
28 x 9 = $252
$252 - $18 = $234
Here is a map of a town.
It has a scale of 1:400,000.
A centimetre ruler is shown on the
map.
What is the real-life distance
between the park and the theatre?
Give your answer in km.
Answer:
The real-life distance between the park and the theatre is of 12 km.
Step-by-step explanation:
Scale of 1:400,000
Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km
What is the real-life distance between the park and the theatre?
On the map, the distance between them is of 3 centimeters.
3*4 = 12
The real-life distance between the park and the theatre is of 12 km.
Find the area of the composite figure!
A. 64 ft2
B. 200 ft2
C. 100 ft2
D. 136 ft2
will give brainliest!!!
Answer:
B
Step-by-step explanation:
8 times 8 = 64
17 times 8 = 136
64 + 136 = 200
ill mark brainlist plss help
Answer: 6 pails
Step-by-step explanation:
plz mark me brainliest
. A rich man divides 300 hectares of land among
his mother, wife, and daughter in the ratio 3:4:5.
How many hectares of land does his daughter
receive?
A. 25
B. 75
C. 100
D. 125
Answer:
D
Step-by-step explanation:
Answer:
125 hectare
Step-by-step explanation:
3x+4x+5x=300
12x=300
x=25
Daugther's hectares of land = 5x
=(5)(25)
=125 hectares
How can you use the mean and standard deviation of a data set to fit to a normal distribution and to estimate population percentages
Use mean and standard deviation to fit a data set to a normal distribution when appropriate; estimate population percentages using tools Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate.
What is the 100th term in the sequence 5, 9, 13, 17, 21 ?
Answer:
401
Step-by-step explanation:
a=5
d=9-5=4
[tex]a_{n}=a+(n-1)d\\a_{100}=5+(100-1)4=5+400-4=401[/tex]
PLEASE HELP!!! I’ll make you the brainlyest!!!
i cant see sorry try again latert
Amo has three times as many marbles as
Effah. Amo gives Effah 15 marbles, and
Then Effah has twice as many as Amo.
How many had each as first?
Step-by-step explanation:
amo tenia 9 canicas y efhha 3
WILL GIVE BRAINLIEST ! NEED ANSWER ASAP !!
can someone tell me what the range and asymptote is ? can’t find answers anywhere :’|
Question 8 of 22
What is the solution to the following equation?
(-14) + x = 14
Answer:
x=28
Hope it helps
Answer:
x = 28
daeyglFEGFLWIgqdhgfdlawfgeFKHEWFJDSHFDAJSLFASFEWAFWF
Please help quick I also give brainliest <3 also please out the units
Answer as many s you can please
Answer:
1. 20.4
2. 84
3. 56
4. 171
5. 132
6. 297
7. 100
8. 56
9. 51
10. 828
Bonus: 644
Step-by-step explanation:
Sorry, if some are wrong.
what is the next term of the arithmetic sequence? -6,-8,-10,-12,-14
Answer:
-16
Step-by-step explanation:
If you look at the sequence, you'll notice that each number is two less than the number preceding it
-8 is 2 less than -6
-10 is 2 less than -8
And so on.
-16 is two less than -14, so it is the next number in the sequence.
If it cost 5$ to fill a gas tank in 1970, how much would it have cost to fill the same tank in 1980
Answer: It would cost $47.3 to fill the same tank in 2010
Step-by-step explanation:
In 1970
Total cost to fill the tank = $6
Cost per capacity of tank = $0.36
Capacity of tank = Total cost / Cost per capacity of tank
Capacity = 6/0.36
Capacity = 16.6
Therefore
In 2010
Cost per capacity of tank = $2.84
And we now know it capacity = 16.6
Total cost to fill the tank = 2.84 * 16.6
Total cost = $47.3
Hope this helps have a awesome day ❤️✨
What shape are possible cross section cylinder?
Answer:
Circle
Step-by-step explanation:
The cross-section of a cylinder is a circle.
two times the sum of a number and 3 is 8.
Answer:
The number is 1.
Step-by-step explanation:
The number is x.
2(x + 3) = 8
2x + 6 = 8
2x + 6 - 6 = 8 - 6
2x = 8 - 6
2x = 2
2x ÷ 2 = 2 ÷ 2
x = 1
multiplying polynomials
help me pliss Wich the correct answer
Answer:
1. −77x2-84x
2. 2x2+16x-66
Step-by-step explanation:
A 6-pack of movie tickets cost $56.94. what is the unit price $__ per ticket
Answer:
$9.49
Step-by-step explanation:
56.94 divided by 6 is that! :) I hope im right
Divide segments into three equal parts
Answer:
Hi. I'm pretty sure you are supposed to use a compass (that's what I had to use for this math work). So basically what you have to do is for the dividing it in four one first divide it into two and divide those new parts in to four and then you have four equal parts, using a compass and/or straightedge works best. For dividing the segments into three parts measure it maybe with a ruler if you have one and mark the points where it can be equally divided.
Step-by-step explanation:
Hope you understand that :) I don't know how to show you on here sorry :(
GOOD LUCK!
(20 points)
What is the value of x?
☁︎
A:9.5
☁︎
B:10.6
☁︎
C:12.0
☁︎
D:25.0
Answer:
B. 10.6
Step-by-step explanation:
(x + 15)*15 = (20 + 12)*12 => interacting secants theorem
15x + 225 = (32)*12
15x + 225 = 384
Subtract both sides by 225
15x = 384 - 225
15x = 159
Divide both sides by 15
x = 159/15
x = 10.6
Find the solution mentally. 3⋅(-4)=a b⋅(-3)=-12 (-12)⋅c=12 d⋅24=-12
Answer:
a=-12
b=15
c=12
d=-12
Step-by-step explanation:
3(-4)=a
b(-3)=12
c=12
d(24)=12
3(-4)=a
-12=a
a=-12
b(-3)=12
-3b=12
b=12+3
b=15
c= 12
d(24)=12
24d=12
d=12-24
d=-12