3 years ago

Is (1, 6) a solution to this system of equations?

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

If you plug in the numbers if will prove to be right.

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Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(

Mumz [18]

The given equations are
$x(t+1)-4t \sqrt{x} =9$ (1)
$2y+4y^{3/2}=t^{3}+t$ (2)

When t=0, obtain
$x=9 \\ 2y+4y^{3/2}=0 \,\,=\ \textgreater \ \, y(1+2 \sqrt{y} )=0 \,=\ \textgreater \ \,y=0$

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means $\frac{dx}{dt}$ .

Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means $\frac{dy}{dt}$ .

Because $\frac{dy}{dx} = \frac{dy}{dt} / \frac{dx}{dt}$ , obtain
$\frac{dy}{dx} |_{t=0}\, = \frac{1/2}{3}= \frac{1}{6}$

Answer:
The slope of the curve at t=0 is 1/6.

3 0

3 years ago

To decorate 6 dozen cupcakes with red hot candies, Nan needs about 550 red hots. Which two sacks of candy would be the best buy?

olasank [31]

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

4 0

3 years ago

4m-2(3+5m) in standard form

NNADVOKAT [17]

Simplified: -6m-6
Factored: 6(m+1)

3 0

2 years ago

If 1 ft equals 0.305 m how many feet are there in 305 meters

Yuliya22 [10]

305/0.305 = 1000

There are 1000ft in 305m.

5 0

3 years ago

Read 2 more answers

You have 3.4 gigabytes available on your MP3 player. Each song is about 0.004 gigabyte. How many more songs can you download ont

Leto [7]

Answer:

850 songs

Step-by-step explanation:

3.4 ÷ 0.004 = 850

Hope this helps!! :)

8 0

4 years ago