complete the sentece below y=sec−1x means​ ________, where x​___and__≤y≤​__, y≠π2. group of choices: means: y=1/Sec x x= sec y x=1/sec y y= sec x where: [x]less than or equal to 1  [x]greater than or equal to 1 [x]greater than 0

Q: Fin 7-√42 X mZX = Y O 21/14 N

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Q: Find the domain and range for (x – 3)2 +)(y – 3)² = 9 %3D |

A: Domain & Range .

Q: 2. Homogenous DE x²y = 4x2 + 7xy+ 2y²

A: We solve the given homogeneous differential equation

Q: 5.) Ms. Cyrus has 64 songs on her phone. Two- fifths of the songs are R&B songs. The rest are jazz.…

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Q: Let fix.y) = In (x³y) . If f(6.2)=f,(5,a) what is the value of a? O a. 1 Ob.-1 O.0 O d.2 Oe. -2

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Q: Ba for what Values of a and bis -2 fEx) %3D ax +b 3. Continues at every x?

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Q: Find x. Then, find LM. K 4x - 2 3x + 3 X = LM = %3D

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Q: For the function f(x,y) =x° e 3xY, find f, and f,. f, =(Type an exact answer.)

A: The function is given by fx,y = x5e3xy To evaluate : The expressions of fx and fy

Q: O Solve the eguation, Kdz x dz - gdz +ze (tya) Ans OF THS + -z) =0

A: This is linear equation so we can use Lagrange auxiliary equation to solve this problem.

Q: dz²dA where R = {(x, y) | 4z² + 25y² ≤ 100} Find Round your answer to four decimal places.

A: We have to find: ∬Rx2dA. Where the region is: R=x,y | 4x2+25y2≤100.

Q: Using Variation of parameters, find ui for the DE: y" – 2y' – 8y = 18e4* when Yc = Ce-2x + C2e4*. А.…

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Q: LV = x+8 VN= 8+2x K L N M

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Q: NAME TRAND irection: 2x-1 = 5 1. Solve for x: x+3

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Q: Q5/ Let F(x) = x>0 is c.d.f, find the value of P(-3<x< 4). e.w

A: It is an important part of statistics. It is widely used.

Q: 6. What is the domain of the equation, y = 3x2 - 4x? a. {x:x E R,x <-1} b. {x:x E R,x # 1} C. {x:x E…

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Q: Use the washer method to find the volume of the solid generated by revolving the shaded region about…

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Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: 9. : (y²dx + x²dy) = 0 (x – y)²

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Q: I| The height in feet attained by a rochet t seconcls into flight 1s gien by hCt)= -t° + 16€?+ 33€+…

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Q: Find abs. max &min f(xcy) =x²+y?-2x +40 on y=X, X=0,4=3

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Q: Inx 17. Determine S dx

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Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: Solve for the value of x: 4* > 4 5x +2 O a. x 21/2 O b. x< 1/2 О с.х2-1/2 O d. x< -1/2

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Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Given: z is a function of xand y and x2-y2=zxe6y. To find: ∂z∂x

Q: -3 L 2. x+x² (x - 1)(x² + 1) dr

A:

Q: The positions = -t³ + 3t² − 3t of a body moving on a coordinate line for 0 ≤t≤ 3 with s in meters…

A: Given that the position of a body moving on a coordinate line for with  in meters and in seconds.To…

Q: E Naing Xind the local maximum and minimum values of bath first and secend Deiwatve tets fOx)=…

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Q: Find y" for y = -2(x²+6)3 y" = x

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Q: 3x The range of y = -3sin А. —3 <у <3 С. y S 3 В. —3 <y <3 D. y 2 3

A: Range of the function

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.