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Oksana_A [137]
3 years ago
7

HELP ASAP!!! What is a net? What can we use a net for? How can a net be used to find surface area?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0
Is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid. When you cut out the "net", fold it and glue it together you can see what the three dimensional shape looks like.
alexira [117]3 years ago
5 0
For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units. Example 1: Find the surface area of the given rectangular prism in square cm.
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A cylinder has a volume of 320n cubic inches and a height of 5 inches.
Xelga [282]
B is the correct answer
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3 years ago
These two lines are graphs of non-proportional relationships what makes them not proportional
tangare [24]

Answer: b or c

Step-by-step explanation:

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Compute the second partial derivatives ∂2f ∂x2 , ∂2f ∂x ∂y , ∂2f ∂y ∂x , ∂2f ∂y2 for the following function. f(x, y) = 2xy (x2 +
blsea [12.9K]

Answer with step-by-step explanation:

We are given that a function

f(x,y)=2xy(x^2+y^2)^2

Differentiate partially w.r.t x

Then, we get

\frac{\delta f}{\delta x}=2y(x^2+y^2)^2+8x^2y(x^2+y^2)=(x^2+y^2)(2x^2y+2y^3+8x^2y)=2(5x^2y+y^3)(x^2+y^2)

Differentiate again w.r.t x

\frac{\delta^2f}{\delta x^2}=2(10xy)(x^2+y^2)+4x(5x^2y+y^3)=20x^3y+20xy^3+20x^3y+4xy^3=40x^3y+24xy^3

Differentiate function w.r.t y

\frac{\delta f}{\delta y}=2x(x^2+y^2)^2+2xy\times 2(x^2+y^2)\times 2y

\frac{\delta f}{\delta y}=(x^2+y^2)(2x^3+2xy^2+8xy^2)=2(x^2+y^2)(x^3+5xy^2)

Again differentiate w.r.t y

\frac{\delta^2f}{\delta x^2}=2(2y)(x^3+5xy^2)+20xy(x^2+y^2)=4x^3y+20xy^3+20x^3y+20xy^3=24x^3y+40xy^3

Differentiate partially w.r.t y

\frac{\delta^2f}{\delta y\delta x}=2(2y(5x^2y+y^3)+(x^2+y^2)(5x^2+3y^2))=10x^4+36x^2y^2+10y^4

\frac{\delta^2f}{\delta y\delta x}=10x^4+36x^2y^2+10y^4\frac{\delta^2f}{\delta x\delat y}=2(2x(x^3+5xy^2)+(3x^2+5y^2)(x^2+y^2))=10x^4+36x^2y^2+10y^4

\frac{\delta^2f}{\delta x\delat y}=10x^4+36x^2y^2+10y^4

Hence, if f(x,y) is of class C^2 (is twice continuously differentiable), then the mixed partial derivatives are equal.

i.e\frac{\delta^2f}{\delta y\delta x}=\frac{\delta^2f}{\delta x\delta y}

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4 years ago
Which of the following uses the distributive property?
kobusy [5.1K]
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Answer:

see the x and the y two times they're right there point them out

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