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3 years ago

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

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Frank is having the car pets in his house cleaned. The cost of the cleaning is calculated from the area of the carpets. C= the c

asambeis [7]

Answer:

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

Step-by-step explanation:

cost of the cleaning is calculated from the area of the carpets

C= the cost of the cleaning a= the area of the carpets.

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable

An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.

5 0

3 years ago

an employee adds 160 fluid ounces of chemical to a feature that holds 120,000 gallons of water. did the employee add yhe correct

Hitman42 [59]

We are given a volume of 160 fluid ounces of chemical which is added to a container that holds 120,000 gallons of water. Assuming that the chemical has the same density as water, we just need to convert 120,000 gallons to ounces.

A conversion factor is taken from literature, 1 gallon is equivalent to 128 fluid ounces. So 160 fluid ounces is only 1.25 gallons, thus occupying minimal space in the container. The employee could add more of the chemical in the container. He can actually add 15360000 fluid ounces in total.

5 0

3 years ago

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

4 years ago

Complete the table of values for f (2) = 2x^2+ 6x– 8 using Desmos.

spin [16.1K]

Answer:

Here you are. I hope this helps.

7 0

3 years ago

Read 2 more answers

Simplify. 4/x^2-35 - 1/x+5

Oksana_A [137]

If I understand your question well, I suppose you mean $\frac{4}{ x^{2} -35} - \frac{1}{x+5}$
$\frac{4}{ x^{2} -35} - \frac{1}{x+5} = \frac{4}{(x+5)(x-7)}- \frac{1}{x+5} \\ = \frac{1}{x+5}( \frac{4}{x-7}-1) \\ = \frac{1}{x+5}( \frac{4}{x-7}- \frac{x-7}{x-7}) \\ = \frac{1}{x+5}( \frac{4-x+7}{x-7}) \\ = \frac{1}{x+5}( \frac{11-x}{x-7}) \\ = \frac{11-x}{ x^{2} -35}$

6 0

3 years ago