1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

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: 2 If C = |2 -1 0 Show that (C")-1 = (C-')" -2 2 2

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Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

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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: )- ニ ZS+ト 32 |ニ2+

A: To solve the equation: x+y+z=12x-4y-3z=9-3x+2y+5z=-5

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: From (2) we get: 7h 1 (7g+7)n+1 - 2-(7g+6) (2 - N-(79+6) II ig+1)k-(a+1)t-q +1 h=0 k=1 7h 1…

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Q: b 2x 1! + 5x 2! + .+ (nt + 1)п! %3D п(п + 1)! + 10 x 3! + .. 2 3 + .. 1 n 1 + + + = 1 - 2! 3! 4! (п…

A: (b) Case 1 : n=1 2×1!+5×2!+10×3!+...+(12+1)1! = 1(1+1)!2×1! = 1(2)!2 = 2 Therefore, the result is…

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: 32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0.…

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Q: a2z If Z = x3+y3- 3axy then %3D -is дудх 1)3a 2)- 3a 3) 3.x2 4) a Select one: Oa. Option 1 O b.…

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Q: 4. Find the inverse Z-transfor b. 32 2E+ (2-1)(2-늘)(Z-t)

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

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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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: It x~N(μ,σ"), then ²~. Option 2 ption 1 *** *** *** N(0, 1) G(1⁄2,2) x² (2)

A: Given, if x~Nμ,σ2 Then x-μσ2

Q: 15- (x + 5)lnxdx =? a) (-21/4) - 12In4 b)O (21/4) - 12ln2 (23/4) - 12ln4 d) O (-23/4) + 12ln2 e)…

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Q: (b) Define fo = 0, f₁ = 1 and fn = fn-1 + fn-2 for n ≥2. Show that 3 fak for all k ≥ 0.

A: As per the guidelines we shall solve one question only as you have asked more than one different…

Q: Σ n=1 5n Vn3 +1

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

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Q: 4. (1+ 4x²)y" — 8y = 0. ANS. yao(1 + 4x²) + a₁ Σ k=0 (-1)*+¹2²kx2k+1 4k² - 1 valid for x <

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Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: Suppose z = 5 + -2i and w -5+ -4i. Then Im(zw) =?

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

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Q: 9. at eab the 2a 3b gz ub ax

A: The detailed solution is as follows below:

Q: ( a) Σ-1)t1, n+1 Vn² + 1 n² + 4 n=2 (b) (-1)" n(In n)³ n=2

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Q: 8a, 2+ 225n for n> 2 with initial conditions ao 7, a1 83 %3D

A: Given: an=-6an-1-8an-2+225n for n≥2 with initial condition a0=7, a1=83. To find: The solution of the…

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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Q: 10 6h = 2k + 9 3h + 4k = 12

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Q: -2 -4 -2 -3 4 If A = -3 -3 -2 and B 2 -4 %3| -3 4 2 1 Then 2A + B = AT BT BT AT = 2. ||

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Q: Do 4,5,6

A: solution

Q: Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

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Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: 5x + 1 If y 2x-1 - In 7' then y' will be II

A: y=5x+12x-1-ln(7) In this we have to find differentiation of y. We know, ddxuv=vddxu-uddxvv2

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: [1 4 -1] ‚Y = |0 2 -5. Find det(XYX-1). Lo o 7 8 -1| -V2 2 If X = 5.5 4 %3D -1l

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Q: 7. - + 7x - 3 = 0 8. x + 4v + 1 = 0 9. 2x = 7- x 10. 11 -0 11. 2 Sx-4 0 12. 2 7 -9= 0

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

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Q: 2.3.1. (3a³b*)³ =Bab 10 3D59 049 ab 2.3.2. (-4a³b²)° -4ab3+2 (24 - 43+ 82)2 4 44 4 2.3.3. 4. 4.…

A: As per the guidelines we can solve 3 questions only.

Q: n(n – 1) is O(n²). 2 Show that

A: f(n) is O(g(n)) if there exist positive constants c and k such that f(n)≤c g(n) whenever n&gt;k.…

Q: 2.Find the aver ase value Of the functlon f(x)=x-6over [l,3]

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Q: [1 4 -1 2 -5. Find det(XYX-1). 0 -1. 7 8 Q2) If X = |5.5 -V2 4 2

A: det(A-1) = 1 / det(A)

Q: 2х — у %3D 4 11%3D у — 2х + 5 -

A:

Q: み Vcet-4+(4 c) dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2+8i)N2-8 i) Ja (Ja-aA

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

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Q: IfΣ (ak + bk) 4n and n+1 k=1 E(ar – bx) +, then Eak %3D | n+2 k=1 k=1

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Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24

Q: 10 2) z = (-j)(-

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.