All categories

2 years ago

Complete the parametric equations for the given rectangular equation

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

a) y =t² -2t -3

b) x =3 sin t

Step-by-step explanation:

You might be interested in

Is this a parallelogram, rectangle, rhombus, and/or square and how

NeTakaya

-A rectangle is a four-sided shape each angle is a right angle.

-A rhombus is a four-sided figure and all sides have equal length. Opposite sides are parallel and opposite angles are equal.

-A square has equal sides and every angle is a right angle. Opposite sides are parallel.

-A parallelogram has opposite sides parallel and the sides lengths are the same. Opposite angles are equal

8 0

3 years ago

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

Use P = 2(l + w) to find the perimeter (P) of a rectangle where l = 7 ang W = 4

Nady [450]

P= 2(7+4)
P= 2(11)
P= 22

Final answer: 22 units

4 0

3 years ago

Drag each interval to a box to show if the function shown is increasing, decreasing, or

scoundrel [369]

Answer:

Increasing: -10<x<-8. 8<x<10. -2<x<0.

Deacresing: 3<x<7.

Neither Increasing nor decreasing: -8<x<-5

8 0

3 years ago

-0.59x+0.29=7.2 HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

kaheart [24]

Answer:

Step-by-step explanation:

-0.59x+0.29=7.2

-0.59x+0.29-0.29=7.2-0.29

-0.59x=7.2

divide both sides by -0.59

x=− 11.7118644

that can be rounded to x= -11.7

6 0

2 years ago

Read 2 more answers