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3 years ago

10

An orchard produced 856.9 liters of fresh-squeezed orange juice over the course of 4 days. How much orange juice was produced ea

ch day, on average?

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

214.225

Step-by-step explanation:

865.9 / 4 = 214.225

you just divide it

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3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

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By using property lne=1,ln 1=0

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3 years ago

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Answer:

y = 7 $3^{x}$

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

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a = 7

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Using (5, 1701 )

1701 = 7 $b^{5}$ ( divide both sides by 7 )

243 = $b^{5}$ ( take the fifth root of both sides )

b = $\sqrt[5]{243}$ = 3 , thus

y = 7 $3^{x}$

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