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3 years ago

What is the greatest common multiple of 24 and 60?

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

the greatest common multiple of 24 and 60 is 12

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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

Solve the proportion. Show your work. 3x + 1 = 511

k0ka [10]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3x + 1 = 511

Subtract 1 from both sides:

3x = 510

Divide both sides by 3:

x = 170

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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5 0

3 years ago

Read 2 more answers

Which expression is equivalent to 2

marta [7]

Answer:

1+1 = 2

Step-by-step explanation:

5 0

3 years ago

What is the domain and range?

Savatey [412]

Domain sets values and Range is the difference between the highest and the lowest numbers.

4 0

3 years ago

PLEASE HELP

mrs_skeptik [129]

Answer:

Im pretty sure its 21 pounds.

6 0

3 years ago