All categories

2 years ago

You are a gift to those around you.

Mathematics

2 answers:

Salsk061 [2.6K]2 years ago

7 0

Answer:

And you bring a smile, upon every golden flower.

~ Isimpfortnpu

vovikov84 [41]2 years ago

4 0

Answer:

tysm!

Step-by-step explanation:

follow me on youtubē & tiktök Yktv.yania1

please

You might be interested in

Help me please! I’m begging

Goryan [66]

12) the radius is 15 so with the equation (3.14)*r^2, we get (3.14)(15^2)=706.5

13) true, true (if x=4), true

14) y=0.75x+4.50, $8.25

7 0

2 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

Bill deposits $3,000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in th

Sholpan [36]

Answer:

The interest he will be paid in the first 4 years is $360

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

P is the initial deposit

r is the rate in decimal

t is the time

∵ Bill deposits $3,000 into an account

∴ P = 3000

∵ The account pays simple interest at a rate of 3% per year

∴ r = 3% = 3 ÷ 100 = 0.03

∵ The time is 4 years

∴ t = 4

→ Substitute these values in the rule above

∵ I = 3000(0.03)(4)

∴ I = 360 dollars

∴ The interest he will be paid in the first 4 years is $360

6 0

2 years ago

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Volgvan

Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

$sin(-90\°)=-1$

therefore

$sin(90\°)=-sin(-90\°)$

4 0

3 years ago

Factor out the greatest common factor.<br> 30t2u + 12tu2 + 24tu

Alexandra [31]

First you can combine 30tu^2 and 12tu^2 because they both have tu^2

So it would be 42tu^2 + 24tu

The answer is
6tu ( 7tu + 4 )

7 0

3 years ago