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4 years ago

Through (-2,0) parallel to y=-x+4

Mathematics

1 answer:

Marizza181 [45]4 years ago

5 0

Answer: y = -x - 2

This has the same slope as y = -x + 4, but it runs through (-2,0)

Hope this helps :)

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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

4 years ago

Please show me how to solve the problem

AlladinOne [14]

Answer:

(3x+1)

Step-by-step explanation:

So i start by the little 2 and then the 3 and then 19x +6

4 0

2 years ago

Christine wants to buy a bicycle for her little brother. She receives a coupon in the mail for 5% off the bicycle. The bicycle h

puteri [66]

The answer is A because you would do 79 x 0.05 which equals 3.95 . So you subtract 3.95 from 79 which is 75.05 minus 50 equal to 25.05

5 0

3 years ago

Read 2 more answers

I am greater than 15 I am less than 21 I have 8 ones

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

bc 8 digits in the ones place, and less than 21 greater than 15

7 0

3 years ago

Read 2 more answers

For each part below, give an example of a linear system of

N76 [4]

Answer:

a)g: 3x + 4y = 10 b) a:x+y = 5 c) c: 3x + 4y = 10

h: 6x + 8y = 5 b:2x + 3y = 8 d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations gives you parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations gives you intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations gives you collinear lines refer attachment

i) if we add x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5 to change the unique solution you had to a different unique solution

7 0

3 years ago