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2 years ago

What is the value of K?

Mathematics

1 answer:

GREYUIT [131]2 years ago

3 0

Answer:

Step-by-step explanation:

opposite angles

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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

Factor of 169 and 9 squared

emmasim [6.3K]

Answer:

The greatest common factor of 169 and 81 is 1.

Step-by-step explanation:

9 squared is 81 and the greatest common factor of 169 and 81 is one. They have no other common factors. Please mark me brainliest and I hope this helps!

3 0

3 years ago

A bakery specializes in cupcakes. Each day, one dozen cupcakes are randomally selected to test for freshness. Which statement be

ziro4ka [17]

Answer:

b) all of the cupcakes in the bakery

Explanation:

in statistics, the population is a group of people/things that are in the same category for collecting data. c) and d) are thus wrong since no data is collected about the other goods or the employees, while a) is wrong because that is just a sample (which helps to test for a large population) and not the actual population.

i hope this helps! :D

3 0

2 years ago

I really need help please help me

hram777 [196]

Answer:

i11, i26, i20, i21

Step-by-step explanation:

Alright, so there's an order to imaginary numbers. At the 1st power, it's i. At the second, it's -1. At the 3rd, it's -i. At the 4th, it's 1. And at the 5th, it restarts.

5 0

3 years ago

Jess shares £60 in the ratio 3:4

Nataliya [291]

Answer:

Amount of money share by Jess = £25.70

Another Amount of money share by Jess = £34.3

Step-by-step explanation:

Given:

Amount of money Jess have = £60

Sharing ratio = 3 : 4

Find:

Amount of money share by Jess

Computation:

Sharing amount = Shared ratio / Sum of ratio

Amount of money share by Jess = 60[3/(3+4)]

Amount of money share by Jess = 60[3/(7)]

Amount of money share by Jess = 180 / 7

Amount of money share by Jess = £25.70

Another Amount of money share by Jess = £60 - £25.70

Another Amount of money share by Jess = £34.3

7 0

2 years ago