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4 years ago

Solve the system by graphing or using a table y = x-2 , y = -2x + 7

Mathematics

1 answer:

Naya [18.7K]4 years ago

8 0

The answer to the question

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Dy/dx= y^4 and y(2)= -1. Y(-1)=

cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

$\dfrac{dy}{dx} = y^4$

and with initial condition y(2) = -1.

The differential equation is separable:

$\dfrac{dy}{y^4} = dx$

Integrate both sides:

$\displaystyle \int \frac{dy}{y^4} = \int dx$

$-\dfrac1{3y^3} = x + C$

Solve for y :

$\dfrac1{3y^3} = -x + C$

$3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}$

$y^3 = -\dfrac1{3x+C}$

$y = -\dfrac1{\sqrt[3]{3x+C}}$

Use the initial condition to solve for C :

$y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5$

Then the particular solution to the differential equation is

$y(x) = -\dfrac1{\sqrt[3]{3x-5}}$

and so

$y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}$

6 0

3 years ago

PLS HELP (links = report)

NARA [144]

Answer:

2040 m3

Step-by-step explanation:

you see in the pic, the shape may cut into 2 pieces, this is 1/2 of the shape.

so we take (24*10*17)/2=2040 m3.

Hope it helps you

3 0

3 years ago

which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x,y)?

Komok [63]

The undefined geometry term would be a point.

6 0

4 years ago

A semicircle has the radius of 2 4/5. What is its area? leave your answers in term of π

Ratling [72]

Answer:

$11\dfrac{13}{25}\pi$

Step-by-step explanation:

r = Radius of semicircle = $2\dfrac{4}{5}=\dfrac{24}{5}\ \text{units}$

Area of semicircle is given by

$A=\dfrac{\pi r^2}{2}\\\Rightarrow A=\dfrac{\pi \left(\dfrac{24}{5}\right)^2}{2}\\\Rightarrow A=\dfrac{288}{25}\pi=11\dfrac{13}{25}\pi\ \text{sq. units}$

The area of the semicircle is $11\dfrac{13}{25}\pi\ \text{sq. units}$ .

4 0

3 years ago

$25 for a shirts $30 for a bag $40 get 10% ON WHAT YOU PURCHASE MARLIN BOUGHT 1 BAG 2 SHIRTS 2 PANTS

SSSSS [86.1K]

Answer: The question is incomplete.

Step-by-step explanation: I cannot give you the answer because i do not know the price of the pants.

7 0

3 years ago