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4 years ago

When can 1/3 be bigger than 1/2

Mathematics

2 answers:

mr_godi [17]4 years ago

7 0

The 1/3 fraction can never be bigger than 1/2.

Brut [27]4 years ago

4 0

1/3 of something can never be bigger
than 1/2 of the same thing.

But if you're talking about 1/3 of a horse
and 1/2 of a rabbit, well, then . . .

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I will give brainlist

SashulF [63]

Answer: H

Step-by-step explanation:

7 0

3 years ago

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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 $\frac{\delta^2f}{\delta y\delta x}=\frac{\delta^2f}{\delta x\delta y}$

8 0

4 years ago

Denise needs to move some bags of gardening soil from her garage to her mother's garden. The topsoil weighs 50 pounds per bag an

FinnZ [79.3K]

Answer:

50t + 35m ≤ 645

Step-by-step explanation:

The topsoil weighs 50 pounds per bag and the mulch weighs 35 pounds per bag.

Now, the wagon Denise is using can only carry up to 645 pounds.

If t represents the number of bags of topsoil and m represents the number of bags of mulch, then the inequality can be written to model the situation is

50t + 35m ≤ 645 ....... (1)

Hence, the expression in equation (1) describes the number of bags she can transport at one time using the wagon. (Answer)

6 0

3 years ago

Read 2 more answers

Look at the picture.

amm1812

Answer:

What picture?

Step-by-step explanation:

8 0

3 years ago

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A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $5.25

kakasveta [241]

Each carton of any flavour costs same

THE COST IS $5.25

Total cartons:-

One strawberry+One chocolate
2

Total cost

2(5.25)
$10.5

5 0

2 years ago