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1 year ago

Let f(r) = 6, find f-¹(r)

Mathematics

1 answer:

I am Lyosha [343]1 year ago

8 0

There is no answer because there cannot be one to one function inverse.

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Solve the differential equation by variation of parameters. y''+y=secx

suter [353]

Answer:y=

Acosx+Bsinx +cosx ln(cosx)+x sinx

Step-by-step explanation:

given equation y''+y=secx

auxiliary equation

$p^2+1=0\\p=\pm i$

so CF is y=Acosx+Bsinx

now

$y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx$

using wronskian formula

$W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}$

= $cos^2x+sin^2x=1$

now f(x)=secx

$u=-\int \frac{f(x)y_2(x)}{W(x)}dx \ and \ v=\int \frac{f(x)y_1(x)}{W(x)}dx$

$u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx$

$u=-\int tanx dx \ and \ v=\int {1}dx$

$u=ln(cosx) \ \ \ and \ \ v=x$

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0

3 years ago

There is a jar jelly beans on Mr Scrooge's desk 40% of the jelly beans are red if there are 55 jelly beans in the jar how many a

horsena [70]

Answer:

22 jelly beans are red.

Step-by-step explanation:

40 percent of 55 is 22 :)

Please mark brainliest

6 0

2 years ago

Need help asappppppp

PilotLPTM [1.2K]

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

$Hypotenuse^2=Perpendicular^2+Base^2$

Using Pythagoras theorem in the base triangle, we get

$25^2=24^2+Base^2$

$625-576=Base^2$

$\sqrt{49}=Base$

$7=Base$

The perimeter of the triangular base is:

$P=7+25+24$

$P=56$

Lateral area of a triangular prism is:

$A=Ph$

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting $P=56,h=28$ in the above formula, we get

$A=56(28)$

$A=1568$

Therefore, the lateral area of the prism is 1568 in².

8 0

3 years ago

Write 2^60 as an exponent with a base of: 4 , 16 pls explain why you got it, thx!

Ghella [55]

See the photo i provided

3 0

3 years ago

Two friends are eating from a bag of 32 skittles sarah eats 1/2 of the 32 skittle and jami eats 1/4 of the skittles how many of

abruzzese [7]

Jami ate 8 skittles and Sarah ate 16 of the skittles together they ate a combined total of 24

7 0

3 years ago