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2 years ago

What is the greatest common factor (GCF) of :

Mathematics

1 answer:

ryzh [129]2 years ago

6 0

Answer:

i cant see

Step-by-step explanation: the picture is blocked for me pls type in comments

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

How many variables are in 4x3 + 2y + 6?

Marta_Voda [28]

Answer:

There are two different variables. X and Y.

6 0

3 years ago

What's the answer please help

boyakko [2]

You don't need the apothem if the side length is known, the area can be expressed as:

A(n,s)=ns^2/(4tan(180/n)), n=number of sides and s=side length so

A(7,28)=(7*28^2)/(4tan(180/7))

A≈2848.987 ft^2

A≈2849 ft^2 (to the nearest tenth of a square foot)

6 0

3 years ago

PLEAEE HELP. ITS A SUPER EMERGENCY

Nataly_w [17]

I cant see the picture ummm

6 0

2 years ago

HELP ME PLEASE IT¨s MATH

Arlecino [84]

Answer:

V=πr^2h

pi = 3.14

r = 2

r^2 = 4

h = 10

Multiply all the numbers to get the volume.

Or use the formula.

V = 3.14*4*10

V = 125.6 cubic inches

5 0

3 years ago