1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bearhunter [10]
3 years ago
8

Find dy/dx if y= (x²-3)³cos2x

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x

Step-by-step explanation:

We use the Product Rule:

y= (x²-3)³cos2x

dy/dx =   (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx

=   (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x

= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)

=  6x(x²-3)cos2x - 2(x²-3)³sin2x

You might be interested in
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge
Lady bird [3.3K]
Lets see... we have two companies charging two different prices.  So, the first thing we need to do if find the equation of both companies. Company A: c= 0.25m+30       m is the number of miles, which costs .25 cents.  Hence, .25mCompany B: c= 0.10m+40      it charges 10 cents per mile, which is 0.10 m Now, make the two equations equal to each other.  The answer that we get will be the exact number when you pay the same cost for either company A or B.  In other words, at that number of miles you don't care which company you choose.  However, if you go beyond that number of miles or below that number of miles, it will make a difference. 0.25m+30=0.10m+40     Subtract 30 from both sides          -30              -300.25m=     0.10m+10      Subtract 0.10m from both sides  -0.10m    -0.10m0.15m= 10                      Divide both sides by 0.15     m= 66 2/3   Up to that point, company A will be the best choice.  After that particular number of miles, company B will be the better choice. Hope this helps you.

~ Natalia 
 
5 0
3 years ago
Please answer the question from the attachment.
krek1111 [17]
Y + -4 = 9  (this means y plus negative 4 equals 9)

y -4 = 9
  +4    +4

y  = 13



7 0
3 years ago
Write the first five terms of the sequence defined by the recursive formula
Arada [10]

Answer:

The second option is the correct answer

The sequence is : 0, -1, -6, -31, -156

Step-by-step explanation:

It is given that,  

The recursive formula , an = 5a(n-1) - 1 and a1 = 0

<u>To find a2, a3, a4, a5 </u>

a2 = 5a1 -1 = 5x0 - 1 = -1

a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6

a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31

a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156

Therefore the resulting sequence is

0, -1, -6, -31 ,-156



6 0
3 years ago
Read 2 more answers
Find the Value of X<br><br>a.) x=5<br>b.)x=13<br>c.)x=37<br>d.)x=73
guapka [62]

Hey!!

Total angle - 180

... 2x + 4 + 2x - 9 + x = 180

... 4x - 5 + x = 180

... 5x - 5 = 180

... 5x = 185

... x = 185 / 5

... x = 37


Hope my answer helps!!


7 0
3 years ago
Consider the segment below.
mars1129 [50]

Answer:

B

Step-by-step explanation:

midpoint of EF:  (-3,1/2)

distance of HG: 3.64

3 0
3 years ago
Other questions:
  • PLEASE HELP!! Find the sixth term of the sequence 14,9,4,..
    13·1 answer
  • Which is bigger, 80% of 150 or 3/4 of 200
    12·2 answers
  • Combine like terms<br> 5y-8-y
    10·2 answers
  • The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
    12·1 answer
  • ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply. ΔXYZ ≅ ΔLMN ∠Y ≅ ∠M ∠X ≅
    10·2 answers
  • (07.07 LC)A bus pass costs $9 per week. Which of the following equations shows the total cost in dollars, t, of the bus pass for
    13·1 answer
  • (x+3)=6<br> Solve the equation
    5·1 answer
  • Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which
    14·1 answer
  • NEED HELP ASAP. (question in picture below)
    14·1 answer
  • Please help me! I will give brainly!<br><br>Asapppppp
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!