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lesantik [10]
2 years ago
14

Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².​

Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

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2 years ago
Tony tacos is selling 15 sodas for 10 dollars.Nicks nachos is selling 30 sodas for 20dollars. Write the ratios.Are the two ratio
Mandarinka [93]

Answer: The ratios are proportional

Step-by-step explanation:

Tony tacos is selling 15 sodas for 10 dollars.

Nicks nachos is selling 30 sodas for 20dollars. The ratio of the number sodas sold by Tony tacos to the number of sodas sold by Nicks nachos is 15/30 = 1/2

The ratio of the cost of sodas sold by Tony tacos to the cost of sodas sold by Nicks nachos is 10/20 = 1/2

So the number of sodas sold is proportional to the cost.

8 0
3 years ago
Kenny has the following data:
lys-0071 [83]

Answer:

7

Step-by-step explanation:

If range is 6 then the difference between highest and lowest is 6 so 1 + 6 = 7 so b is equal to 7.

7 0
3 years ago
(a)
mamaluj [8]

Answer:

10=16[ by cost]

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the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
Please.help.my.sorry.self.answer.this.question
Zanzabum

Answer:

7.8

Step-by-step explanation:

1. you add all the numbers together

2. Divide by 5

3. Then divide answer by 10

4. You get your final answer

4 0
2 years ago
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