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jek_recluse [69]
2 years ago
5

Write the equation of the specified graphs below. ​

Mathematics
1 answer:
timurjin [86]2 years ago
8 0

Answer:

<u>Given are the transformations of the square root function:</u>

  • f(x) = \sqrt{x}

<u>Line a, translation to the left:</u>

  • f(x) = \sqrt{x+3}

<u>Line b, reflection over x-axis, translation to the right and up:</u>

  • f(x) = -\sqrt{x-2}+1

<u>Line c, translation to the left and down:</u>

  • f(x) = \sqrt{x+3}-2

<u>Line d, reflection over x-axis, translation down:</u>

  • f(x) = -\sqrt{x} -3
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Twice the smallest of three consecutive odd integers is nine more than the largest. find the integers.
polet [3.4K]
 let   x        x +2       x+4     three consecutive odd <span>integers


2x =9+ x+4   </span>Twice the smallest<span> is nine more than the largest 
 2x - x= 13

x= 13  the first 
the second integer 15   the third  17 </span>
7 0
3 years ago
A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centi
Tresset [83]

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

5 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y′′+4y=cos(2x)+sin(2x).
I am Lyosha [343]
Take the homogeneous part and find the roots to the characteristic equation:

y''+4y=0\implies r^2+4=0\implies r=\pm2i

This means the characteristic solution is y_c=C_1\cos2x+C_2\sin2x.

Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form y_p=ax\cos2x+bx\sin2x. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.

With y_1=\cos2x and y_2=\sin2x, you're looking for a particular solution of the form y_p=u_1y_1+u_2y_2. The functions u_i satisfy

u_1=\displaystyle-\int\frac{y_2(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\int\frac{y_1(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx

where W(y_1,y_2) is the Wronskian determinant of the two characteristic solutions.

W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2

So you have

u_1=\displaystyle-\frac12\int(\sin2x(\cos2x+\sin2x))\,\mathrm dx
u_1=-\dfrac x4+\dfrac18\cos^22x+\dfrac1{16}\sin4x

u_2=\displaystyle\frac12\int(\cos2x(\cos2x+\sin2x))\,\mathrm dx
u_2=\dfrac x4-\dfrac18\cos^22x+\dfrac1{16}\sin4x

So you end up with a solution

u_1y_1+u_2y_2=\dfrac18\cos2x-\dfrac14x\cos2x+\dfrac14x\sin2x

but since \cos2x is already accounted for in the characteristic solution, the particular solution is then

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

so that the general solution is

y=C_1\cos2x+C_2\sin2x-\dfrac14x\cos2x+\dfrac14x\sin2x
7 0
3 years ago
Each question is asking something different please round will mark brainliest
11111nata11111 [884]

Answer:

1) 78.54

2) 490.87

3) diameter: 15.9999 so 16.00? circumference: 50.27

Step-by-step explanation:

3 0
3 years ago
Anyoneeee there?please help.Im desperate​
pav-90 [236]

Answer:

B sas

Step-by-step explanation:

states that if two sides and the included angle of one triangle arecongruent 

7 0
3 years ago
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