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2 years ago

10

On dividing x^3-3x^2+x+2 by a polynomial g(x), the quotient and remainder were x- 2 and "-2x+1" respectively, then g(x) is equal

to

1 answer:

lara [203]2 years ago

6 0

Answer:

refer to the above attachment

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A brother and a sister are in the same math class. there are 8 boys and 20 girls in the class. one boy and one girl are randomly

Pavlova-9 [17]

<h2>the answer i thinkk is 2/20 because since there ae 20 children, then the brother and sister each have a 1% chance, hope this helped!</h2>

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3 years ago

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

4 years ago

Round 22.700 to the nearest hundredth

hammer [34]

THE ANSWER SHOULD BE 22.70

6 0

3 years ago

The sum of t and 2 is equal to 5 less than t

Alex17521 [72]

The sum (addition) of t and 2 is equal to (=) 5 less than (subtraction) t

2 + t = t - 5

7 0

3 years ago

Read 2 more answers

(fractions) 8/9 + 3/18

SVEN [57.7K]

Answer:

13/18

Step-by-step explanation:

s t u p i d

5 0

3 years ago