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melamori03 [73]
1 year ago
5

Which of the following is a binomial? A) 8x^5B) 11x+18 C) 14x^2+5x+12 D) 4/x

Mathematics
1 answer:
Citrus2011 [14]1 year ago
8 0

A Binomial is a Polynomial with two terms:

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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
How much simple interest would 1000 earn in 275 days at an interest rate of 4.21%
nikitadnepr [17]
Now, there are 365 (excluding leap years) in a year, so, 275 days is not even a year, but is  275/365 of a year, or 55/73 of a year.

\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1000\\
r=rate\to 4.21\%\to \frac{4.21}{100}\to &0.0421\\
t=years\to \frac{275}{365}\to &\frac{55}{73}
\end{cases}
\\\\\\
I=1000\cdot 0.0421\cdot \cfrac{55}{73}
3 0
3 years ago
Can someone help me with this please
Yuri [45]

Answer:

ofc ill help! x=-35

Step-by-step explanation:

4 0
3 years ago
Answer this simple quick question!! Pls :)
Alex_Xolod [135]

Answer:

If it is that simple then do it yourself LOL

Step-by-step explanation:

6 0
3 years ago
Multiply the following fractions. 5/8 X 7/10 =
lubasha [3.4K]
The answer is 7/16 .
6 0
3 years ago
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