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3 years ago

Witch answer is it plsss −36 + 6 = −3( − 6)

Mathematics

1 answer:

madreJ [45]3 years ago

5 0

Answer:

No solution because -30 does not equal 18

Step-by-step explanation:

-36 + 6 = -3(-6)

-30 = 18

No solution

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Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.

nignag [31]

Answer:

$work \ done= 45937.5$

Step-by-step explanation:

Work done is given by

$work \ done=\int_a^b w(d-x) \ dx$ , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, $work \ done=\int_0^{175} 3(175-x) \ dx$

$work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}$

$work \ done= 3\left [175^2-\frac{175^2}{2} \right ]$

$work \ done= 3\cdot \frac{175^2}{2}$

$work \ done= 45937.5$

8 0

3 years ago

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

6 0

1 year ago

The diagram below represents changes that take place within the human body. The diagram

il63 [147K]

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

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2 years ago

Find the percent decrease. Round to the nearest percent.

shutvik [7]

Answer:

decrease 3%

Step-by-step explanation:

sana makatulongggg

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2 years ago

100 POINT QUESTION + BRANLIESt What is 2+2?

Maru [420]

Answer:

Step-by-step explanation:

Yeah if you don't know this one... you're... special.

4 0

3 years ago

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