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3 years ago

Is -1 a rational number.

Mathematics

2 answers:

dangina [55]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

ratio numbers include negatives and positives

nata0808 [166]3 years ago

4 0

Answer:

Yes it is a rational number

Step-by-step explanation:

Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.

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Beth added 1 1/4 pounds of fruit to a fruit basket Her son took 2 3/8 pounds of fruit out of the basket What was the total chang

WARRIOR [948]

In total 1.125 pounds were removed from the basket

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3 years ago

1 The ages of three cats are a, a + 4 and 2a - 3.<br> Their total age is 21. Determine a.<br> ?

Nimfa-mama [501]

Answer:

a = 5

Step-by-step explanation:

a +a+4 + 2a-3 = 21

4a +1 =21

4a = 20

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3 years ago

The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?

Alla [95]

Answer:

22 feet

Step-by-step explanation:

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2 years ago

71 to the nearest tenth

xeze [42]

Answer:

ft76d956

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

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