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3 years ago

Find the linearization of f(x) = x ^ (y / 2) a = 43

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

DWAFECGSAD

Step-by-step explanation:

EWAFGSEE

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A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost

Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

$h=\frac{16}{\pi r^{2}}$ -------(2)

Now we place the value of h in the equation (1) from equation (2)

$C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})$

$C=0.054\pi r^{2}+0.03(\frac{16}{r})$

$C=0.054\pi r^{2}+(\frac{0.48}{r})$

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

$C'=0.108\pi r-(\frac{0.48}{r^{2} })$

Now for C' = 0

$0.108\pi r-(\frac{0.48}{r^{2} })=0$

$0.108\pi r=(\frac{0.48}{r^{2} })$

$r^{3}=\frac{0.48}{0.108\pi }$

r³ = 1.415

r = 1.12 inch

and h = $\frac{16}{\pi (1.12)^{2}}$

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

$C"=0.108+\frac{0.48}{r^{3}}$ which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

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3 years ago

A shipment includes several different types of apples, as shown below.

andrey2020 [161]

Your answer is going to be 23% :)

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3 years ago

Read 2 more answers

to the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008.What might have been the exact

sp2606 [1]

There Are Multiple Answers.... Here are 5 possible answers

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•617,071
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•615,672

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3 years ago

Rodrigo is planning on buying a new home. The total amount he needs to borrow is $299,132. The bank offered Rodrigo a 18 year lo

Flauer [41]

Answer:

13402

Step-by-step explanation:

PV= $299,132

I/YR= 4.48% or 0.0448

N= 216

PMT= $13402

(Excel works great with this and will solve it for you, use the PMT function and insert the numbers provided. It will show a (-) but that is because a positive PV is placed.)

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3 years ago

What are two decimals close two 6.3

WITCHER [35]

Answer:

6.2 and 6.4

Step-by-step explanation:

I am right please like

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