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Citrus2011 [14]
3 years ago
11

write and solve the differential equation that models the following statment. "the rate if change of W with respect to x is prop

ortional to x+18."
Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

\int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to          

     x + 18. Therefore \frac{dW}{dx} = k(x + 18) where k is a constant.

ii) Therefore \int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

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Cual es el minimo comu multiplo de 81,27,9
Brums [2.3K]
La respuesta es 81.

Eso es porque
81*1= 81,
27*3=81,
y 9*9=81.
8 0
4 years ago
Find the slope and reduce.<br> P=(-3, 3) Q=(1, 3)<br> Slope =
Sindrei [870]

Answer:

Slope is 0.

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1 year ago
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mr_godi [17]
Why. what and why... ahahah
6 0
3 years ago
Read 2 more answers
1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x
qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is (2x+10)^\circ, so the measure of arc DF is

m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ

The inscribed angle theorem tells us that the central angle subtended by arc DF, \angle DOF, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

m\angle DOF=2m\angle OEF=64^\circ

so the measure of arc DF is also 64 degrees. So we have

170-2x=64\implies106=2x\implies\boxed{x=53}

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

7 0
3 years ago
A home improvement store rents vacuums at $45 for the first day and $22 for each day thereafter. If y represents the total cost
Gwar [14]

Answer with explanation:

Amount charged by Home Improvement Store for first day=$ 45

Amount charged per day after first day = $ 22

y= Total cost

x=Number of days Rented

Writing the above statement in terms of function

→y=1×$45 +(x-1)×$22

→→Total amount charged(y)=45+22x-22

→→→y=22x+23

is, the required function.

7 0
3 years ago
Read 2 more answers
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