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MakcuM [25]
2 years ago
10

Twenty three less than sum of forty nine and thirty seven what is the answer?

Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Answer:

63.

Step-by-step explanation:

49 plus 37 is 86. subtract that by 23 and you get 63.

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F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​
Alex73 [517]

Step-by-step explanation:

Given:

\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}

This field will have a scalar potential \varphi if it satisfies the condition \nabla \times \textbf{F}=0. While the first x- and y- components of \nabla \times \textbf{F} are satisfied, the z-component doesn't.

(\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)

\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector \vec{\textbf{r}} as

\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}

and its differential is

\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}

The work done then is given by

\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})

\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}

= 422

5 0
3 years ago
Heights of men on a baseball team have a? bell-shaped distribution with a mean of 177 cm177 cm and a standard deviation of 8 cm8
Assoli18 [71]
I don't think there is a way to answer your question.
8 0
3 years ago
Evaluate: -(-1) + (-7) + (2) - (-4) - (-2) A) -2 B) 0 C) 1 D) 2'
Masja [62]

Answer:

2

Step-by-step explanation:

-(-1) + (-7) + (2) - (-4) - (-2) =

= 1 + (-7) + 2 + 4 + 2

= -6 + 2 + 4 + 2

= -4 + 4 + 2

= 0 + 2

= 2

6 0
3 years ago
Round 854 to the nearest hundredth
Paladinen [302]

Answer:

854

Step-by-step explanation:

There is no decimals.

4 0
3 years ago
Find the difference:
mihalych1998 [28]

Answer:

3 1/2

Step-by-step explanation:

4 1 3

_ - _ = _

6 6 6

Then we simplify. 3 3 1

_ ÷ = _

6 3 2

Then just add your 3 and there 3 1/2 is your asnwer

8 0
3 years ago
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