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
charle [14.2K]
3 years ago
7

Find d^2y/dtheta^2 if y=sin^5

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

20 sin³O. cos²O - 5sin⁵O

Step-by-step explanation:

y = sin⁵O

Using the Chain Rule

dy/dO = 5 sin⁴O cosO

Using the Product / Chain rules:

d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O

= 20 sin³O. cos²O - 5sin⁵O

You might be interested in
What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
stepan [7]

Answer

y-1=5(x-2)

Step-by-step explanation:

1-(-4) =5

2-1=1

y/x = 5/1 =5

(2,1)

y-1=5(x-2)

6 0
4 years ago
Read 2 more answers
A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he coul
swat32

Answer:

4 hammers

Step-by-step explanation:

Please refer to the attached image for explanations

6 0
3 years ago
Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 3
MariettaO [177]

Answer:

90 minutes

Step-by-step explanation:

let x=amount of time it would take for Shelby to knit the scarf

\frac{15}{5} =\frac{x}{30}

cross multiply

15*30=5x

450=5x

450/5=x

x=90

It would take Shelby 90 minutes to knit a scarf that is 30 inches long.

7 0
3 years ago
The length of a violin string varies inversely with the frequency of its vibrations. A violin string 14 inches long vibrates at
lara31 [8.8K]

Answer: 525 cycles per second.

Step-by-step explanation:

The equation for inverse variation between x and y is given by :-

x_1y_1=x_2y_2       (1)

Given : The length of a violin string varies inversely with the frequency of its vibrations.

A violin string 14 inches long vibrates at a frequency of 450 cycles per second.

Let x =  length of a violin

y=  frequency of its vibrations

To find: The frequency of a 12 inch violin string.

Put x_1=14,\ x_2=12\\y_1=450,\ y_2=y in equation (1) , we get

(14)(450)=(12)(y)  

Divide both sides by 12 , we get

y=\dfrac{(14)(450)}{12}=525

Hence, the frequency of a 12 inch violin string = 525 cycles per second.

3 0
3 years ago
5x+2y=7 as a ordered pair
Elenna [48]
(1, 1), 5 + 2 = 7, not that hard!
8 0
3 years ago
Read 2 more answers
Other questions:
  • 85 degrees in radians
    12·1 answer
  • Louis and Ollie are pricing meat at a butcher shop. All of the meat packages are marked $12.99, and the weight, in pounds, of ea
    9·1 answer
  • Determine if the statement is always, sometimes or never true.
    8·1 answer
  • the bus driver made 6 stops on his way into town no passanger exited the bus by stop 3 there were 9 passangers on the bus this g
    6·1 answer
  • Write an equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11
    5·1 answer
  • Find sin(β) in the triangle.
    8·1 answer
  • the half-life of a material is 4 hours. if the material starts with 300 mg, how much will remain after 20 hours?
    14·1 answer
  • What is the equation for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points) an = 5 − 2(n − 1) an =
    14·1 answer
  • Select the correct answer.
    7·1 answer
  • Which tenths is 8.275 between
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!