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Fed [463]
2 years ago
9

The unit of momentum is

Mathematics
1 answer:
Shtirlitz [24]2 years ago
6 0

Answer:

kg•m/s

Step-by-step explanation:

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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
|2x| ≤ x + 3
r-ruslan [8.4K]

Answer:

[-1,3]

Step-by-step explanation:

|2x|<x+3

calculate the absolute value

2*|x|<x+3

move < to left

2*|x|-x<3

split into possible cases

2x-x<3, x<0

2*(-x)-x<3, x<0

solve inequalities

[0,3]

[-1,0]

find union

[-1,3]

3 0
3 years ago
Read 2 more answers
WILL MARK BRAINLEIST!! Each figure is composed of large squares and small squares. The side length of the
julsineya [31]

9514 1404 393

Answer:

  A. x² -4

  B. 2x² +8

Step-by-step explanation:

The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.

__

A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:

  x² -4×1² = x² -4 . . . area of Figure A

__

B. The area of two small squares is added to the area of two large squares to find the shaded area:

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5 0
3 years ago
Two angles are comlementary. the first angle measures x and the second angle measures 3x-10. find x?
ryzh [129]
X=25

4x-10=90
Add 10 to both sides
4x=100
Divide both sides by 4
6 0
3 years ago
Can someone tell me… Given the right triangle ABC, what is the value of tan(A)?
sergey [27]

Answer:

C

Step-by-step explanation:

tanA = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{24}{10} = \frac{12}{5} → C

6 0
3 years ago
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