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2 years ago

Giải các Phương Trình Nghiệm Nguyên 1/x +1/y = 1/6xy

Mathematics

1 answer:

Eddi Din [679]2 years ago

5 0

Answer:

sucky my ducky ;))))

Step-by-step explanation:

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

2 years ago

10(x+1) = 56 - 2(x-1) what’s the equation

bixtya [17]

Answer:x=4

Step-by-step explanation:

To solve

10(x+1)=56-2(x-1)

Open the brackets

10x+10=56-2x+2

Collect like terms

10x+2x=56-10+2

12x=48

Divide through by 12

x=4

3 0

2 years ago

Read 2 more answers

i am measurng two line segments the first line is 30centi meter long the second line segment is 500milli meter how long are the

Alexeev081 [22]

Answer

Find out the how long are the two line segments together answer in cm .

To prove

As given

i am measurng two line segments the first line is 30centimeter long.

The second line segment is 500 millimeter .

1 millimeter = 0.1 centimeter

Now convert 500 millimeter into centimeter .

500 millimeter = 500 × 0.1 centimeter

= 50 centimeter

Thus second line segment be 50 centimeter long .

Total length of two line segments = 30 + 50

= 80 cm

Therefore the 80 cm long are the two line segments together answer in cm .

8 0

2 years ago

You use a wedge that has a width of 2 cm and a slope length of 5.5 cm. What is the mechanical advantage of this wedge?

PIT_PIT [208]

Answer:

Option B. 2.75

Step-by-step explanation:

It has been given in the question that a wedge has a width of 2 cm and a slope of 5.5 cm.We have to calculate the mechanical advantage of the given wedge.

We know the formula to calculate the mechanical advantage of the wedge

Mechanical advantage = Length of slope/Thickness of the widest end

= 5.5÷2 = 2.75

Therefore the answer is option B. 2.75

6 0

3 years ago

Read 2 more answers

4. The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents.

V125BC [204]

Answer:

170,070 residents

Step-by-step explanation:

Original population = 1500 residents

Total population after 6 years is calculated using the formula

A = P(1+r)^t

r is the rate = 120% = 1.2

t is the time = 6 years

P is the original population

A = 1500(1+1.2)^6

A = 1500(2.2)^6

A = 1500(113.379904)

A = 170,069.856

4 0

2 years ago