3 years ago

I need to find the total area of the rectangles

Mathematics

1 answer:

Shalnov [3]3 years ago

8 0

10 x 9 = 90
8 x 7 = 56
90 + 56 = 146

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Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y

Charra [1.4K]

I assume you mean $y_1=t^{-1}$ , and not $y_1=t-1$ , since this doesn't satisfy the ODE.

Assume a second solution of the form $y_2=vy_1$ , where $v$ is a function of $t$ . Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

Substituting into the ODE gives

$t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0$

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

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$\implies y_2=\dfrac{\ln t}t$

where we omit the second term because it's already accounted for by $y_1$ .

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3 years ago

Sally has saved 41 quarters from washing cars. How many cents does Sally have ?

choli [55]

Answer:

Sally has $10.25 or 1,025 pennies

Step-by-step explanation:

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X+3238-f385cdv/3 help me

Arisa [49]

Answer:

Thanks so much, let me know if you need help with hw or something :)

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Suppose a regional computer center wants to evaluate the performance of its disk memory system.One measure of performance is the

Sonja [21]

Answer:

a) solved in attachment

b) If disk is running properly time between failure will exceed then Upper 90 % would be good indicator.

Step-by-step explanation:

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3 years ago

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belka [17]

Answer:

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Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

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3 years ago