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2 years ago

11

What is the difference between linear and nonlinear functions?

2 answers:

Rzqust [24]2 years ago

4 0

Answer: Linear Function is a relation between two variables that produces a straight line when graphed. Non-Linear function is a function that does not form a line when graphed.

Step-by-step explanation:

Stells [14]2 years ago

4 0

ANSWER: Degrees

explanation:

The difference between the linear and nonlinear functions are their degrees. For linear functions, the highest order is only 1 while more than for those nonlinear functions. If these are presented in graphs, linear functions would generate straight lines while parabola or other curved lines will be generated for nonlinear functions.

HOPE THAT HELPED PLEASE MRAK ME AS brilliant i would love it :)

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In some country's congress, the number of representatives is 25 less than five times the number of senators. there are a total

Nataliya [291]

Let number of senators = x, then:-

number of representatives = 5x - 25 so

x + 5x - 25 = 515
6x = 540
x = 90
number of reps = 515 - 90 = 425

so there are 90 senators and 425 representatives.

5 0

2 years ago

Use the substitution of x=e^{t} to transform the given Cauchy-Euler differential equation to a differential equation with consta

kherson [118]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dt}=x\dfrac{\mathrm dy}{\mathrm dx}$

which follows from $x=e^t\implies t=\ln x\implies\dfrac{\mathrm dt}{\mathrm dx}=\dfrac1x$ .

$\dfrac{\mathrm dy}{\mathrm dt}$ is then a function of $x$ ; denote this function by $f(x)$ . Then by the product rule,

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dt}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm df}{\mathrm dx}$

and by the chain rule,

$\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac1x\dfrac{\mathrm d^2y}{\mathrm dt^2}$

so that

$\dfrac{\mathrm d^2y}{\mathrm dt^2}-\dfrac{\mathrm dy}{\mathrm dt}=x^2\dfrac{\mathrm d^2y}{\mathrm dx^2}$

Then the ODE in terms of $t$ is

$\dfrac{\mathrm d^2y}{\mathrm dt^2}+8\dfrac{\mathrm dy}{\mathrm dt}-20y=0$

The characteristic equation

$r^2+8r-20=(r+10)(r-2)=0$

has two roots at $r=-10$ and $r=2$ , so the characteristic solution is

$y_c(t)=C_1e^{-10t}+C_2e^{2t}$

Solving in terms of $x$ gives

$y_c(x)=C_1e^{-10\ln x}+C_2e^{2\ln x}\implies\boxed{y_c(x)=C_1x^{-10}+C_2x^2}$

4 0

3 years ago

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other

sammy [17]

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.

In formula, this means that:

$c\leq a+b$

where

c is the length of the longest side

a, b are the lengths of the shortest side

In this problem, we want to build a triangle using 3 pieces of lumber, each of length:

a = 3 ft

b = 7 ft

c = 8 ft

We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:

$8\leq 3+7 = 10$

Therefore, yes, it is possible to build a closed triangular pen.

6 0

3 years ago

Write a proportion and find the missing side lengths. show work!! 30 points.

miv72 [106K]

Answer:

Step-by-step explanation:

34 . since the given two figure are similar their corresponding sides are proportonal.

let the missing side be x

take these ratios

15/18 = x/30

do cross multiplication

18*x = 30*15

18x = 450

x = 450/18

x = 25

therefore missing side is 25

35.since they are also similar their corresponding sides are proportional.

let the missing side be x

for this take these ratios

8/12 = 10/x

do cross multiplication

12*10 = 8*x

120/8 =x

15 =x

therefore missing side is 15.

7 0

3 years ago

One more please and thank you

horsena [70]

Step-by-step explanation:

everything can be found in the picture above.

l have numbered it inoder with the question

7 0

2 years ago

Read 2 more answers