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Q: 18 9s 52-4s+4 s2-4s+4

A: Consider the given expression. 9ss2-4s+4-18s2-4s+4   The objective of the problem is to simplify the…

Q: c) 73x +3 = 21 d) 1 = 2(4*) – 5 Page 7 of 19 WCLN PCMath 12 - Rev. 2019 e) 3x+1 = 5% 1) 5(2³x-2) =…

A: We have to find the value of x As per guidelines we have to solve three parts

Q: 10. The weekly revenue of Mr. Martinez eatery is R = -3p2 + 60p + 1 060, where p is the price of the…

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Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: z(z+2) (z-1)(z-3) -1) - 12/3¹u(-n- -n-1) 9 3> z> x(n) zu(n 312 Option 4

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Q: in2 tns 2x-y „Ans.s. 6. 3/2

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: S 2dx (3× +12メ -15)3

A: Given,  ∫23x2+12x-1512dx  We have to evaluate it.

Q: 2 6in. 10in E Zin. -

A: find the area of region

Q: 13 fx. Sfr Vx? +ydydx 0 0

A: Integration

Q: 3. S: 7 dy у2-8y+5

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Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

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Q: 2х + Зу + z %3D 4 Зх 3x + Зу + + z 8 2х + 4y + z %3D 5

A: Here is the solution of the given problem. By using matrix inverse method.

Q: 5sin x d) y = In 2

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Q: 10. -12x = -74 32=-5 PPE 9. %3D 30siern 11. -3.9x = 27.3 MPE 3x =-54 4 12. abiz dtod rifiw notps a…

A: 9.)x32=-5using MPEx32×32=-5×32x=-16012.) 3x4=-54using MPE3x4×43=-54×43x=-7213.)-14x=6using MPE-14x…

Q: 12 -I Vk + 1 k=1

A: To find the sum, first, we need to check the convergence of the series. Here we use the divergence…

Q: 5. = P - p2 Ans: = cet dt 1-P

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Q: 1. y=3sin(2x) and y= 3cos(2x)

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Q: 4х + Зу 3DIn(4х — Зу); у - 3y); ) || |

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Q: 4= Acosu +Bsiox and y(a)-5 thenA=-

A: Substitute x=π in equation y=Acosx+Bsinx. y=Acosx+Bsinxyπ=Acosπ+Bsinπ ⋯ (1)

Q: 2. alak S 6sin"xcox dx

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Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

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Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

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Q: (4x+3y 2 12 7x+6y S 42 2) x20 y20

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: и, utt =100 и за осхит ли(1,0) с снова И 8x tas lon 1 |4 (30) = со & +6 107 (4 (9,6)= ц(ђt) = 0 x =0

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Q: 1. s(z) = -4z³ In(z)

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Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

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Q: P onl the hy

A: Volume of solid =∫∫RzdA

Q: 2.5х — 3.9у %3D 1.5 1.4x + 2.7y = 1.1

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Q: 3 4 Evaluate [, S* 2dydx

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: 11 ,5 -2d*¨f -2 2 4df

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Q: 2 + z-. = 0 is

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Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

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Q: X-2y+2 = 0 8. 2x +3y + 18 = 0 10+ 10 10 sb loonbe s 26 701 8- -10+

A: Solving equations and graphing

Q: 1. 2r+ dy +3: = 15 4r + Sy +3= 24 6r + Sy + Sz = 22

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

Q: Question 21 'dz 3 (9z2+4) 2

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Q: 18. If mZP = (4x – 1)° and mZR = (12x- 27)', fi T. S

A: We have a cyclic quadrilateral So remember that R + P  = 180 12x - 27 + 4x - 1 = 180   simplify 16x…

Q: 3- + - + 10 1 1 4. V2 1 1 3 V4 V5 (-1)"-1 5) Σ 2n + 1 n=1 /-

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A: We know that the probability of any distribution or an event happening is always between 0 &amp; 1…

Q: у" — 2у' + у 3 et x5 when y(0)=1; y'(0)=2

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Q: 12. Find the antiderivtive: 9x°- 6x -2

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Q: 2. 4s+32 s²-16

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.