2 years ago

Find d2y/dx2 in terms of x and y if (x^2)-(y^2)=16.

1 answer:

5 0

We can use implicit differentition to determine the second derivative of y in terms of x. In this case, the first derivative is 2x dx - 2y dy = 0. The second derivative is 2 d2x - 2 d2y = 0. Hence d2y/d2x is equal to 1.

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Igoryamba

Answer: 2.43m^3

Step-by-step explanation:

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2 years ago

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In which case would it be necessary to find the area of this circle

9966 [12]

You need to know the area if you're going to
1st selection: cover the surface of the dartboard.

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2 years ago

A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al

kramer

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

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1 year ago

a crane lifts a 450 kg concrete to the top of a 50 m building in 5 s. assuming g=10 m/s² calculate a) the potential energy of th

Juliette [100K]

Answer:

Step-by-step explanation:

The work done changes the potential energy

ΔPE = mgΔh = 450(10)(50) = 225,000 = 225 kJ

power is the rate of doing work

P = 225000/5 = 45000 W = 45 kW

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2 years ago

Find the solution of this system of equations:

Evgen [1.6K]

Answer:

y=-3.667

Step-by-step explanation:

-4(10y-59)+10y=86

30y+196=86

30y=-110

y=-3.667

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2 years ago