y = x^5 sin (2x) cos (4x)
find the derivative
The derivative of the equation will be y' = 5y/x + 2y cot (2x) - 4y tan (4x).
What is differential equation?An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations.
The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.
They can also be for multiple variables.
y = x⁵ sin(2x ) cos(4x)
The differentiation;
y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). × d/dx (cos(4x) )
y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)
From the given equation;
y' = 5y/x + 2x⁵ cos(2x) cos(4x) - 4x⁵ sin(2x) sin(4x)
y' = 5y/x + 2y cot (2x) - 4y tan (4x)
Learn more about derivatives ;
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Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18
Answer:
The answer is B or -(-18) = 18
Step-by-step explanation:
on Edg 2021
Answer:
D
Step-by-step explanation:
Cuz I did it on a test and I got it right.
solve t(3+4) if t= 7
Answer:
=49
Step-by-step explanation:
7(3+4) substitute 7 into t
7(7) add numbers in brackets bec of BODMAS
49
A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?
Answer:
The distance is less than 216 inches.
Step-by-step explanation:
Each feet has 12 inches.
The large shelves in the storage area are 17 feet 8 inches apart
So, in inches, this distance is of:
17*12 + 8 = 212
This distance is less than 216 inches.
I need help with this also
Answer:
Part A: $336.4
Part B:279.2645625
Step-by-step explanation:
$320+5.125% tax = 336.4
Part B:$279.2645625-5.125% tax = 279.2645625 bucks.
Thank you and good luck cheating
What is the GCF of 4 and 8? *
Answer:
i think it is for 4 it is 2 and for 8 it is 4 hope this helps
Step-by-step explanation:
Which polynomial represents the sum below? (-x^3 + 3x^2 + 3) + (3x^2 + x + 4)
Answer:
Cddd
Step-by-step explanation:
Does the expression (4r+6)
________
2
Also represent the number of females on the team this year? EXPLAIN.
Answer:
yes
Step-by-step explanation:
plz help i have 9 min and i dont understand plz help worth 20 points
Answer:
no question
Step-by-step explanation:
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
More about the ratio and the proportion link is given below.
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If the probability of an event happening is 82/97, what are the odds against it happening?
Answer:
15/97?
Step-by-step explanation:
Just Minus the 82 and 97 to be the probability against it happening.
Sorry if I'm wrong
Solve for the indicated variable in the literal equation. REAL ANSWERS ONLY!
Answer:
[tex] \large \boxed{l = \frac{P + 9}{ - 4} }[/tex]
See below for two alternative solutions.
Step-by-step explanation:
Goal
Solve for the l-term.Given Equation
[tex]P = - 3 - 4l - 6[/tex]Step 1
Make the l-term as the subject of equation by moving - 3 and - 6 to another side so we can leave l-term as the subject.[tex]P + 3 + 6 = - 4l[/tex]
Simplify by adding 3 and 6.
[tex]P + 9 = - 4l[/tex]
Remember that we cannot combine a variable and a constant. We can only combine a like term.
Step 2
Move -4 to divide P+9 so we can finally solve for l-term.[tex] \frac{P + 9}{ - 4} = l[/tex]
Alternative Solutions
1) We change the position of the negative sign of 4.[tex] - \frac{P - 9}{4} = l[/tex]
2) Simplify in the simplest form.[tex] \frac{P + 9}{ - 4} = l \\ \frac{P}{ - 4} + \frac{9}{ - 4} = l \\ - \frac{P}{4} - \frac{9}{4} = l[/tex]
Is (2, 1) a solution to this system of equations?
4x + 12y = 20
x + y = 3
yes
no
Answer:
yes
I hope to help you
my dear
Answer:
no
Step-by-step explanation:
4(2)+12(1)=20
8 + 12 =20
20 = 20
Find the x-intercept and y-intercept of the following
equation
2x + 5y = -6
Answer:
x = -3
y = -6/5
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x.
2x + 5(0) = -6
x = -3
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.
2(0) + 5y = -6
y = -6/5
good luck, i hope this helps :)
Extra p!
Someone help me, Thanks!!
Answer:
Step-by-step explanation:
so confused right now
Answer:
Step-by-step explanation: the answer is breme
Evaluate the expression: 16.2 x 2 + 1/2 x 8.5 x 12
Answer:
83.4
Step-by-step explanation:
16.2 x 2
=
32.4 +
1/2 x 8.5 x 12
=
51 + 32.4 = 83.4
Hope this helps!
fen bilimleri sorusu limana yaklaşan bir geminin önce gövdesimi görünüyorduuuuu yoksa bacasımı ¿¿¿¿ ^-^
Answer:
ilk önce en ön kısmı gözükür
bacası öndeyse bacası gözükür
şöyle düşün elinde bir top var ve bir gemi gemiyi topun altindan yukariya doğru götürüyorsun ve ilk en öndeki kısmı gözükür
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)
2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?
Answer:
1) 202.52
2) P107089
Step-by-step explanation:
Compound interest is calculated as
A = P (1 + r/n)^(nt), where
A = compounded interest
P = present value
r = interest
n = number of times interest applied
t = time taken
A = 200 (1 + 0.25%/30)^(30 * 5)
A = 200 (1 + 8.3*10^-5)^150
A = 200 * 1.0126
A = 202.52
Present Value Annuity Due is usually given by the formula
P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where
P is the present value
C is the Cash flow per period
i is the interest rate and
n is the number of payments
P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)
P = 113676
Also, it's worthy of note that
Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100
EAR = ((1+12/(12*100))^12-1)*100
EAR = 12.68%
And lastly, the
Future value = present value*(1+ rate)^time
113676 = Present value*(1+0.1268)^0.5
Present Value = 113676 / 1.1268^0.5
Present Value = 113676 / 1.0615
Present value = 107089
Given that € 1 = £0.72
a) How much is € 410 in £?
b) What is the £ to € exchange rate?
Answer:
a) 295.2
Step-by-step explanation:
a) cross multiplication method
€1=£0.72
€410=x
x=€410×£0.72
Joanna makes and sells candles online. She charges $7 per candle, and shipping is $5 per order. Select an expression that Joanna can use to find the total cost for any candle, n, order. 7 + n + 5 7 + n + 5 7n + 5 7n + 5 7 ÷ n + 5 7 ÷ n + 5 7n - 5
Answer: Total cost= 7n + 5
Step-by-step explanation:
7 is the M (money per every candle) and 5 is the B (additional fee for every order)
I'm needing help with 4,5,6
Answer:
4. acute
5. obtuse
6. obtuse
Step-by-step explanation:
make a problem about simple interest
Answer:
Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600
Answer:
1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?
Step-by-step explanation:
Solution:
In every $ 100, Robert gets $ 8.
(Since rate is 8% → 8 for every 100)
Therefore, for $ 1 he gets = $ 8/100
And for $ 2000 he gets = 3000 x 8/100
= $ 240
Simple Interest for 1 year = $ 240.
Simple Interest for 2 year = $ 240 x 2
= $ 480
Simple Interest for 3 year = $ 240 x 3
= $ 720
Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)
= 3000 + 240
= $ 3240
Amount after 2 years = Principal (P) + Simple Interest (SI)
= 3000 + 480
= $ 3480
Amount after 3 years = Principal (P) + Simple Interest (SI)
= 3000 + 720 = $ 3720
We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.
Therefore, we can conclude that Simple Interest (S.I.) depends upon:
(i) Principal (P)
(ii) Rate (R)
(iii) Time (T)
And therefore, the formula for calculating the simple interest is
Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100
Amount (A) = Principal (P) + Interest (I)
Principal (P) = Amount (A) – Interest (I)
Interest (I) = Amount (A) – Principal
Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet
Answer:
Anne Hathaway: 0.154 = 15.4%
Angelina Jolie: 0.048 = 4.8%
Melissa Leo: 0.029 = 2.9%
Meryl Streep: 0.231 = 23.1%
Kate Winslet: 0.714 = 71.4%
Step-by-step explanation:
Odds to probability:
Odds of a:b
The probability is given by:
[tex]p = \frac{a}{a+b}[/tex]
Anne Hathaway 2:11
So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]
Angelina Jolie 1:20
So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]
Melissa Leo 1:33
So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]
Meryl Streep 3:10
So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]
Kate Winslet 5:2
So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]
A. a scientist is studying the change in population for two species of fish in a lake. The table shows how the numbers of each species changed during a 4-year period.
YEAR: 1; 2; 3; 4
FISH A: 500; 520; 540; 560; 580
FISH B: 400; 430; 460; 490; 520
The scientist uses a linear model to predict future populations of both fish. Explain why, given the data in the table, population of fish A and the population of fish B can be modeled using linear equations.
Answer:
The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS:
Jack scored 7,9,2,6,15,15 points 6 basketball games. Find the mean,median and mode scores for all the games
Answer:
mean = 9
mode = 15
median = 8
Step-by-step explanation:
What is 593832+872382828=
Plz answer /
Answer:
8,729,766,60
Step-by-step explanation:
593832+872382828= I'm 100% sure my answer is correct I worked it out on paper and calculated it after
Answer:
Step-by-step explanation:
872976660
Zahir is going to the movies. The cost of a movie ticket is $10.50 and candy costs $3 for each box. He has a maximum of $20 to spend. How many boxes of candy can he buy?
b = # of boxes of candy he can buy
Answer:
3 boxes of candy
Step-by-step explanation:
$20.00 = $10.50 + 3(b)
3*3 = $9.00
$10.50 + $9.00 = $19.50
$20.00 - $19.50 = $0.50
($0.50 is the reminder).
Have a great day, all!!
please help im so lost
Please help me please ! Also the answer is not a
Answer:
The answer is c
Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps
Hey there!
The answer is C.
To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.
A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]
B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]
C is correct, because if you solve it, you would have [tex]121-x^2[/tex]
D is incorrect, because it CAN be factored.
Have a super awesome day! :)
