IM: Compute lim EVn? -.

Q: geč (5)

A: I used trigonometric functions identities

Q: If 2x + 3y = 4² then (x, y, z) = ? x, y, z e Z

A: A set of integers represented by symbols ZZNon negative set of integer is Z+

Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: Pow thal lel; and onlr

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Q: 1/6 aresin(3) dx =

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: Can I get assistance with (d)

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Q: 2. / Vy² – 4y + 10 dy

A:

Q: x-ビ ere S70 and --xe g 00ー

A: Integrate: I=∫-∞∞exte-x-ts1+e-x-ts2dx Evaluate the integral using substitution.     The following…

Q: Is Q closed over multiplication? (Y/N)

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Q: 4 -512 + 8 dt. Evaluate Vi

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Q: 12 3 n +2 (b) 2 = 2 – 2n + ..+ 22 23 2n lia on intege

A: (b)  To prove : 12+222+323+.....+n2n=2-n+22n for all n≥1   For n=1,  LHS : 12 RHS : 2-1+22=12= LHS…

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: y tysint- o,y o)=1

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Q: e*Vex-1dx ex+3

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Q: 3 2 1 0 3 3. -1 2 -2 ♡ 2 2-2 ♡ 3 -3 -3 -2 -1 0 1 2 3 X

A: SOLUTION 1 : Functions corresponds to the contour map : ln(x2+4y2)  SOLUTION 2 :To estimate the…

Q: 6. If x= +4 and 7 (ii) - (x+y) = (-2) + Cy 21 5 Page then verify that

A: Given data:- x=-47y=25 Given equation; -x+y=-x+-y

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 -…

Q: (-32 - 4z + 7) – (22 - 3z + 7) = -52 - z True O False

A: Combining like terms

Q: 2. fote-t² dt

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Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: Y2-1 dy

A: Follow the procedure given below.

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

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Q: 3. y = -4 x-2: (4, -4)

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Q: S+1 b. L-1 [+] s3-1

A: Given that L-1s+1s3-1 The formula used are follows L-11s-a=eat The objective is to find Laplace…

Q: 5s +1 To determine L-1. |s² – s – 12

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Q: 2 Ⓒz² = x² + y² 2

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Q: f-1 니 - X 3 t

A: To find the inverse of the function : step 1 : Convert f(x) into 'y'. step 2 : Swap 'x' and 'y' .…

Q: Ex Fnd そ イーx S=a i

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Q: Find the value of2(*y, -=,) E(x,v, -2

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Q: loga sin (V)|] dz

A: We have to find derivative.

Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: 7. Find the length of the triangle. A

A: We know that the centroid intersect the medians in the ratio 2 : 1. Thus the lengths of the medians…

Q: 1/2 z + 6 = 3/2 (z + 6)

A: We have to solve for the value of z in the above equation.

Q: 3. (ey + 1)²e-dx + (ex + 1)³e¯*dy = 0

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Q: 64. (r - 3s + t)(r - s + t)

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Q: 2 sec 0 r drde = x² + y² dydx %3D 0. True False Reset Selection

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.