3 years ago

Write an equation for the function graphed below. k(t)=

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

I think that the equation would be Y= -2X^2-4X-4 .

Step-by-step explanation:

Hope it wad helpful :)

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docker41 [41]

Answer:

Step-by-step explanation:

The rate of change is not the same

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3 years ago

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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

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

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

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

$\implies v=C_1\ln|t|+C_2$

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

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

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3 years ago

PLEASE HELP! ASAP Find the Slope of the line<br> Slope = ?/?

Hoochie [10]

Answer:

The slope of the line is 1/2

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2 years ago

Given f(x)=2^x and g(x)=f(x-2)+4, write the new function rule (equation) for function g and describe (using words*) the two tran

Paladinen [302]

Answer:

f(x)=2-4

Step-by-step explanation:

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3 years ago

The sum of three consecutive integers is -75.

rusak2 [61]

Answer:

Suppose 3 consecutive integers are X-1,X,X+1

Step-by-step explanation:

Sum = X-1+X+X+1= -78

3X=-78

X= -78/3

X= -26

3 consecutive integers are, -27, -26,-25.

smallest integer is -27

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3 years ago