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Harlamova29_29 [7]
3 years ago
14

A rational function is a function whose equation contains a rational expression.A.Trueb.False

Mathematics
2 answers:
Arisa [49]3 years ago
5 0

The answer is true because false would mean that it’s another crazy definition. But yes it is true

ratelena [41]3 years ago
5 0

A rational function is a fractional expression in the form f(x) = p(x)/q(x), where q(x) cannot be zero.

Example: f(x) = 3x/(4x - 2).

True is the answer.

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Determine whether each first-order differential equation is separable, linear, both, or neither. 1. ????y????x+????xy=x2y2 2. y+
Mkey [24]

Answer:

a) Linear

b) Linear

c) Linear

d) Neither

See explanation below.

Step-by-step explanation:

a) \frac{dy}{dx} +e^x y = x^2 y^2

For this case the differential equation have the following general form:

y' +p(x) y = q(x) y^n

Where p(x) =e^x and q(x) = x^2 and since n>1 we can see that is a linear differential equation.

b) y + sin x = x^3 y'

We can rewrite the following equation on this way:

y' -\frac{1}{x^3} y= \frac{sin (x)}{x^3}

For this case the differential equation have the following general form:

y' +p(x) y = q(x) y^n

Where p(x) =-\frac{1}{x^3} and q(x) = \frac{sin(x)}{x^3} and since n=0 we can see that is a linear differential equation.

c) ln x -x^2 y =xy'

For this case we can write the differential equation on this way:

y' +xy = \frac{ln(x)}{x}

For this case the differential equation have the following general form:

y' +p(x) y = q(x) y^n

Where p(x) =x and q(x) = \frac{ln(x)}{x} and since n=0 we can see that is a linear differential equation.

d) \frac{dy}{dx} + cos y = tan x

For this case we can't express the differential equation in terms:

y' +p(x) y = q(x) y^n

So the is not linear, and since we can separate the variables in order to integrate is not separable. So then the answer for this one is neither.

4 0
3 years ago
Find the missing pieces of the triangle round to the nearest tenth ​
8090 [49]

Answer:

8√3

Step-by-step explanation:

Missing side,

√(19²-13³)

= 8√3

Answered by GAUTHMATH

6 0
3 years ago
A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.
Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years  time.

Interest = Prt

where P is the principal, r is the rate and t is  time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest =  2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

I hope that you good day

6 0
4 years ago
[{ (-3-7) + 4 x 5} x 5 + 10 ] / -12<br><br>solve this on a paper a send a photo please
Natali5045456 [20]

Answer:

5

Step-by-step explanation:

ITS 5

8 0
3 years ago
HELP WILL MARK BRAINLIEST
shutvik [7]

Answer:

A.(5,1)

B.(1,11)

Please let's me know if it's right

7 0
3 years ago
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