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Wittaler [7]
3 years ago
6

May someone help me out with this question please

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

You would have 60 different types of pens with this brand. You need to multiply 12 and 5 (because you have 12 different colors for every type of tip, so you have 5 groups of 12).

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Solve the differential equation by variation of parameters.<br><br> 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
Please help !!!! she said 2 of them were the answer
Margaret [11]

Answer:

3 for x not equal to zero

3 0
3 years ago
Please show the steps taken to complete the problem
prisoha [69]

Answer:

24501.42 cubic meters

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Given diameter = 34

radius r = diameter/2

= 34/2 = 17

So radius r = 17

Height h = 27

Pi = 3.14

Volume = 3.14 x (17)^2 x 27

= 3.14 x 17 x17 x 27

Multiply through

= 24501.42 cubic meters

8 0
3 years ago
El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

4 0
3 years ago
Someone who is smart help, Im struggling with this and it's the last hardest question on my homework. Please help.
Ostrovityanka [42]
16 3/8 I so sorry if wrong glade I could help
8 0
3 years ago
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