18ху3 12x?y 7a2b2 35a²b 15у? 2bx 5y? bx

Q: I. Evaluate V4x² + 4x + 5dx|

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Q: 12e* y' - 2y'+ y = 3

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Q: 2. fx) -x - 9x² + 15x- 24 11, 4]

A: 2-Given- fx=x3-9x2+15x-24 To Find- The extrema of the above function on the interval 1,4, if there…

Q: 23) 4x + 3x'y = 5xy?

A: Explanation and solutions is given below.....

Q: 4. Simplify 3(8z+2y). O 24z + 2y 24x+2y D24x+6y 30z +y 30cv

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Q: 6x2 + 3y2 = c 6x + 3yy' = 0 у 3 5 when х - 4

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Q: -a2+7b4-2c3 a=-4 b=-2 c=-3

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Q: Ay 8- -5 14 -8

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Q: Evaluate when x = 4, y= -3 , and z= 1 3 y 8. -

A: Given, x=4y=-3z=-18

Q: 21) y" – 2y' +10y = 0, y(0) = 3, y'(0) = 3.

A:

Q: 49m-3n*p7 -34n7 -7nºp-3

A: Given that: 49m-3n4p7-7n6p-3

Q: 5-    y" + 8y' + 16y = 0   7-  12y"− 5y'− 2y = 0

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Q: -15x?y5z3 а) 10x*y2z3 а?+3а-18 b) (а+2) (а+2)2 а2-2а-3 2 3 c) (х-1)(х-1) (х-2) (х-1)

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Q: 6)-15x+9y%= 27 -5x- y= 17

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Q: 6) y"-3y'-ay= -de*

A: Nonhomogeneous differential equations are the same as homogeneous differential equations, except…

Q: 15. y′′+2y′+2y=0,y(π/4)=2,y′(π/4)=−2

A: Given that: The second order differential equation y'' + 2y' + 2y = 0. The initial condition yπ4 = 2…

Q: 2. y"+7y'+12y= 0, y (0)= 1, y'(0) = 2

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Q: oy-3ゾィ Ye y6-8 Ya) = 2 , Ve): 7 + 2 Yu)= 7

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Q: fx) %3D х2 + 7х, [-6, 0] (х, у) (х, у) %3

A: Absolute maximum and minimum: - The absolute maxima of a function within the entire domain is known…

Q: 24. х— бху + 9у? - о x - y = 2 блу + 9у? 9y = 0

A: From x-y=2 we get x=y+2 We substitute it in the first equation and solve for y

Q: (v) y = -3 (vi) y = - 4 (vii) y =5 (ir) 7 = - 3 (x) 7 = -4 (ri) 7 =5

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Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Solve by eliminating variables:

A: We have to solve the equation by eliminating the variables   The given system of equation is…

Q: Evaluate [fxcos (y)d4 , R=[-2,3]×| 0,- 2 R

A: Introduction: When the integrand the a function of two variables, we follow the double integral.…

Q: A = - 13 -2 1 3 0 4 , C = 2 1 7 2 -3 5 -9

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Q: Ay 44- 9r -6 6. -44 2.

A: Area under curve is calculated by integrating that function within specified limits.

Q: R (6x-4)° (2x+ 8)% 3く いく (2x+8)° (6х —4)% U トトト

A: Consider

Q: 12. x+3y = 15 4x + y = 6 (3,-6)

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Q: n= 10, Σν-24, Σx-0, Σχ260, Σxχy-87, - 4<x<4

A: Since, the exact question number is not specified, we'll be answering the first question. Please…

Q: 4.05e fa)=5x-2.4gk4ーズ al (fog) (-2) 2.

A: Consider the functions fx=5x−2gx=4−x2

Q: 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: 17. y = -3Vx+2- 1 0 0(3 ) 8 2(3 ㅇ

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Q: 4) 3-18b 5) 9x - 49y? 6) 15xyz + 45xz

A: According to our company policy we can answer first three sub parts rest can be reposted

Q: If 3y/7 + 2/3 = 2, then y=?

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Q: (b) y =-10y,

A: The solution is given below :

Q: (b) | (7u² +u +1) du -3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 3) y" + 16y = 1, y(0) = 1, y'(0) = 2;

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Q: u - If ü = 43 - 2k and = 2 - 3 + 7k, find 3u - 27.

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Q: Which expression is equivalent to 42x-4y10z3 6x²y-2z Zy12,2 A) B) 36xfy8z4 7x²z4 y8 C) D) 36x12y8z4

A: It is given that ,  42x-4y10z36x2y-2z We have to simplify it.

Q: 3 Itanz. secxdx

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Q: + 14y + 50y = 0, y(0) = 2, y(0) = -17

A: We have to solve given problem:

Q: 16(y")2-24y'y" + 9(y)? = 4x? + 12x + 9

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Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

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Q: U Sing Ele men メ+y+22=) 2x +4y-37 =1 3X +6y-5%=0 フ

A: The given system of equation is  x+y+2z=92x+4y-3z=13x+6y-5z=0 Consider the augmented matrix as…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.