Ask question

Ask question

All categories

2 years ago

10

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

1 answer:

rusak2 [61]2 years ago

8 0

Answer: For any value of x, g(x) will always be greater than h(x).

Step-by-step explanation:all positive numbers are greater than negative numbers

You might be interested in

Consider the following differential equation to be solved by undetermined coefficients. y(4) − 2y''' + y'' = ex + 1 Write the gi

kompoz [17]

Answer:

The general solution is

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2}$

Step-by-step explanation:

Step :1:-

Given differential equation y(4) − 2y''' + y'' = e^x + 1

The differential operator form of the given differential equation

$(D^4 -2D^3+D^2)y = e^x+1$

comparing f(D)y = e^ x+1

The auxiliary equation (A.E) f(m) = 0

$m^4 -2m^3+m^2 = 0$

$m^2(m^2 -2m+1) = 0$

$(m^2 -2m+1) this is the expansion of (a-b)^2$

$m^2 =0 and (m-1)^2 =0$

The roots are m=0,0 and m =1,1

complementary function is $y_{c} = (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x$

<u>Step 2</u>:-

The particular equation is $\frac{1}{f(D)} Q$

P.I = $\frac{1}{D^2(D-1)^2} e^x+1$

P.I = $\frac{1}{D^2(D-1)^2} e^x+\frac{1}{D^2(D-1)^2}e^{0x}$

P.I = $I_{1} +I_{2}$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x + \frac{1}{D^{2} } e^{0x}$

$\frac{1}{D} means integration$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x = \frac{1}{2D} \int\limits {x^2e^x} \, dx$

applying in integration u v formula

$\int\limits {uv} \, dx = u\int\limits {v} \, dx - \int\limits ({u^{l}\int\limits{v} \, dx } )\, dx$

$I_{1}$ = $\frac{1}{D^2(D-1)^2} e^x$

$\frac{1}{2D} (e^x(x^2)-e^x(2x)+e^x(2))$

$\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

$I_{2}$ $= \frac{1}{D^2(D-1)^2}e^{0x}$

$\frac{1}{D} \int\limits {1} \, dx= \frac{1}{D} x$

again integration $\frac{1}{D} x = \frac{x^2}{2!}$

The general solution is $y = y_{C} +y_{P}$

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2!}$

3 0

3 years ago

Match each number on the left with the correct description of the number on the right.

7nadin3 [17]

Answer:

I hope this helps you

:)

5 0

2 years ago

Margie needs to know the square footage for the first floor of the condo her client wants to make an offer on. The kitchen is 10

rodikova [14]

Answer: the total square footage is

850 ft³

Step-by-step explanation:

The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be

10 × 15 = 150 ft³

The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be

20 × 25 = 500 ft³

The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be

10 × 10 = 100 ft³

Also, the volume of the sunroom would be

10 × 10 = 100 ft³

Therefore, the total square footage is

150 + 500 + 100 + 100 = 850 ft³

3 0

3 years ago

What's 75/100 in simplest form

bagirrra123 [75]

Divide the numerator and denominator by their gcf (25)
75/25= 3
100/25= 4

Final answer: 3/4

7 0

3 years ago

What would the slope intercept form be?

Kaylis [27]

Answer:

y=-2x

Step-by-step explanation:

6 0

2 years ago