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3 years ago

A. solve differential equa y' = 4x square root (1-y^2)

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Step-by-step explanation:

dy/dx = 4x √(1 − y²)

Separate the variables:

dy / √(1 − y²) = 4x dx

Integrate:

sin⁻¹ y = 2x² + C

Solve for y:

y = sin(2x² + C)

Plug in initial value.

4 = sin(0 + C)

Sine cannot be greater than 1, so there is no solution.

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Find the x intercept of the line<br> -4x-2y=16<br> (-4,0)<br> (4,0)<br> (0,8)<br> (0,-8)

Lapatulllka [165]

So you have to make it so that y is on one side

So,

-4x = 16 + 2y Add 2y to both sides

-4x - 16 = 2y Subtract 16 from both sides

-2x - 8 = y Divide by 2 so that y is alone

So plug in the multiple choice questions

(-4, 0)

-2(-4) - 8 = 0

8 - 8 = 0

The Answer is A

7 0

4 years ago

The scale of a map says that 2 cm represents 8 km. What is the actual number of kilometers that is represented by 3 centimeters

wolverine [178]

12kilometers
If 2cm=8km, 1cm=4km
Multiply both by three and you get that 3cm=12km

3 0

3 years ago

Read 2 more answers

Helllkkklppppppp plzzzzzzzzz<br>

cupoosta [38]

Answer:

4. 28 sq. inch

Step-by-step explanation:

First, Area of the square = l² = 2² = 4

Area of the triangle = 1/2 x b x h

= 1/2 x 2 x 6

= 6

Total surface area = Area of square + 4 x area of triangle

= 4 + 4 x 6

= 28

8 0

3 years ago

Larry has been saving money since he had his first job when he was 15 years old. He has earned a total of 2,000.00 and deposited

tino4ka555 [31]

Answer:

it took him 5 years

Step-by-step explanation:

3 0

3 years ago

A projectile is fired from a cliff 200 above the water at an inclination of 45 degree to the horizontal, with a muzzle velocity

iVinArrow [24]

<h2>Horizontal distance when projectile strikes water surface is 170 .02 feet</h2>

Step-by-step explanation:

The height is given by

$h(x)=-\frac{32}{50^2}x^2+x+200$

We need to find when it strikes the water surface,

At water surface h = 0 feet

Substituting

$h(x)=-\frac{32}{50^2}x^2+x+200=0$

Solving this quadratic equation to get x.

-32x² + 2500x + 500000 = 0

32x² - 2500x - 500000 = 0

x = 170 .02 feet or x = -91.90 feet

Negative x is not possible

Horizontal distance when projectile strikes water surface = 170 .02 feet

3 0

3 years ago