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il63 [147K]
3 years ago
14

Which statement BEST describes the philosophy of John Locke?

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit
matrenka [14]
\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------

\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
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\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2
7 0
3 years ago
There are 9 people going on a trip. They purchased coach tickets for $160, and first class tickets for $1180. The total budget t
Savatey [412]

Answer:

Step-by-step explanation:

Given

There are 9 people going on a trip

They purchased coach tickets =$160

first class tickets =$1180

total budget to spend = $4500

Let coach tickets=X

So first class tickets=9-x

160x+1180(9-x)=4500

160+10620-1180x=4500

160x-1180x=4500-10620

-1020x=-6120

X=6120/1020

X=6

So answer

Coach tickets=X=6

First class tickets=(9-x)

=3.

4 0
3 years ago
the velocity of a motorcycle increases by acceleration of 2ms-2 and comes 20ms -1 in 5 seconds find the initial velocity of the
KonstantinChe [14]

a = v-u/t

2 = 20 - u / 5

10= 20-u

u = 10 m/s

7 0
3 years ago
36 workers I need 1 pen for each worker. For every 3 people who prefer red pens,there are 9 who prefer blue. How many blue pens
Klio2033 [76]
Blue 9 x 3 = 27
red 3 x 3 = 9
27 + 9 = 36
I hope this helps
7 0
3 years ago
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Find a distance between the two points
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i dont seem to understamd

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