a. (x+y<9 しx-y21

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

A:

Q: 'ind, from first principles, f.(3, –1) for f(x, y) = 4x²y² + e%.

A:

Q: 3 evaluate y when y = 4. For Vx Vy O 4 O -2 O -4 O 2

A: SOLUTION-

Q: O 2y = x In cx?

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Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

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Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: (a) (Xn+r)nzo for fixed r≥ 0,

A: Markov chain: A Markov process with discrete time and discrete state space is known as Markov chain.…

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Q: b. Evaluate for y if x = 2.3 and z = -1.5. Round to 2 decimal places. Y =

A: Given that: x=1+yyz

Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

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Q: 23 1. Evaluate [y(1-x*y* +x'y}dxdy. 01

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Q: Evaluate dz where ci) .C is 1z+ Yzl =2 Ci) c is 1ztil=1

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Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: | (h(y) – 4)dy = 18 h(y) 9(y) 1 |dy 19 12 15 18 - 18 - 7g(y)dy = 1

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Q: 9. If y = , find at x = 1. x3-: \2x5-1, А. — 28 В. —13 С. -52 D. 13

A: Consider the following equation: y=x3-22x5-14 Differentiate y with respect to x:…

Q: Evaluate o y dæ – x*dy,

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Q: H. a) enough informa tion not b) HL cAA9 al SAS

A: The Given Triangle is an isosceles triangle.

Q: 1on to ove tha (X +Y)(X + Y) =X

A: In this question, the concept of Boolean Algebra is applied. Boolean Algebra A boolean expression is…

Q: S- - ydx + xdy, C: y² = 3x from (3,3) to (0,0) 01 0 3 O 0 2

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Q: X = {a,63 wiTe tind large To Pology le T 2) on X

A: There are 4 topology based on above given set elements Discussed below

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: 57 dy 2x+4 schve the difLLertntial equatian X -y xP

A:

Q: 2 x+ xeʻx + ve?x y' = ,where x 0 %3| 25 2xe´x

A: To find : general solution for the ODE                 y'=x+xe2yx+ye2yx2xe2yx ,            where x≠0

Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: .3 2. Evaluate f S,(1+ 8xy)dxdy y=1 x=0

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Q: SIL- W : x² + y} < 9, 0<z<6

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Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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Q: - Given y= ela's -x²-In'r, what is y'?

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Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: dx = Select one: a. In|x-2|- Inlx +2| +c b. 글미x-21- imx + 리1 + c C. 글미-2-글 i미x+ 21 + c O d. In|x-2|-…

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Q: x2 1 dr dy = a° In(1+ x² + y? 3

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Q: 12.ty′′−(1+t)y′+y=t2e2t,t&gt;0;y1(t)=1+t,y2(t)=et

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Q: If x – y = 4 and xy = k what exp ression is equivalent to x² + y² ?

A: We have, x-y = 4                           ......1xy = k2                             .......2 To…

Q: Q.1) Evaluate, (a) 3y In (y) dy 7+1 zp- (ь)

A: Find the integral

Q: y"+ay'+sy= ーア e'sent y ro)=0, yto) = 1

A: Given differential equation is y''+2y'+5y=e-TsinT y(0)=0 and y'(0)=1 yT↔Ysy'T↔sYs-y(0)=sY(s)

Q: 2. Evaluate 2 if y = ava a²-x, where a > 0 and a ±1. dx

A: dydx=-aa2-x2lnaxa2-x2 see below the calculation

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: Vx Sn(l+x*) de 23/2

A: Using the substitution ... Explanation of the solution is given below...

Q: • In 2 cV(In 2)²-y² R+y° dx d

A:

Q: 37 Го fо7 (xsin(у) — усos(x) dxdy %3D 2 2

A: ∫02π/2∫03π/2(xsiny - ycosx)dxdy in this this is double integration so in first we take y as constant…

Q: nimize Z = (-1)*(X, abjected to, X, + X2 + X3 s 7 + X. - Xo <-

A: Introduction: The Simplex method is a method for solving linear programming models by hand by…

Q: 4.x( (y' + In x)y'+y = 0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If L, f(x)dx = 18; L, g(x)dx = 5; and ſ, h(x)dx = -11 , evaluate ,[ƒ(x) + g(x) – h(x) ]dx. %3D

A: