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3 years ago

Enter the slope of the line through the points (4, 15) and (4, 12). *

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

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IceJOKER [234]

Answer:

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3 years ago

Find the general solution of the given differential equation.

Elina [12.6K]

Answer:

$y=-x\,cos\,x+Cx$

There are no transient terms.

Step-by-step explanation:

Given: $x\,\frac{dy}{dx} -y=x^2\,sin\,x$

To find: general solution of the differential equation and the transient terms in the general solution.

Solution:

For an equation of the form $\frac{dy}{dx}+yp(x)=q(x)$ ,

solution is given by $ye^{\int {p(x)} \, dx }$ = ∫ q(x) $e^{\int {p(x)} \, dx }$ dx

The given equation $x\,\frac{dy}{dx} -y=x^2\,sin\,x$ can be written as $\frac{dy}{dx}-\frac{y}{x}=x\,sin\,x$

Here,

$p(x)=\frac{-1}{x}\,,\,q(x)=x\,sin\,x$

$e^{\int{p(x)} \, dx } =e^{\int{\frac{-1}{x} } \, dx } =e^{-ln(x)} =e^{ln(x^{-1} )}=x^{-1}=\frac{1}{x}$

So,

the solution is $\frac{y}{x}=\int \frac{1}{x}x\,sin\,x\,dx$

$\frac{y}{x} =\int\,sin\,x\,dx\\\\\frac{y}{x} =-cos\,x+C\\y=-x\,cos\,x+Cx$

Here, C is a constant.

Transient term is a term such that it tends to 0 as x → ∞

Here, there does not exist any term that tends to 0 as x → ∞

So, there are no transient terms.

7 0

3 years ago

A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour 1 cup of sugar and 2 cups of chocolate chips. H

amid [387]

2 cups flour, 2/3 cups sugar, 1 1/3 cup of chocolate chips

4 0

3 years ago

Help me please Graph y = - l x-4 l

coldgirl [10]

Answer:

y= -41

Slope= -1

Step-by-step explanation:

On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)

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3 years ago

Help please!!! I need help with conversions and I don't understand how to do it.

coldgirl [10]

Well, if you have a conversion sheet it would be very helpful. If you find how many centimeters are in one foot, then you can add those to how many centimeters are in 10 inches. You can even look up on the internet a conversion sheet and use those directions to do the rest as well.

3 0

3 years ago