Show that ām+n āzm+mEz az+m:n Show that under a constant force of mortality A and a constant force of interest d, we have njāz = e-n(x+8) X + 8

Q: (a) Find P(A1 U A2 U A3) (b) Show that P(A1 U A2 U A3) = 1-(1-1/3)^3

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Q: Find the imvesse Fourrez transformation of F (P) = eply; y = (-00,00). Є

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Q: Deternine the type of linearly independent solutions of the ODE x2y" - 2xy' +3y = 0 %3D

A: We have to find general solution of given differential equation.

Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: (a) Find the constants A, B, C, and D that satisfy 1 1 1+ (w/o)² 1 + ((z-w)/7)2 Aw B Cw D 1+ (w/o)²…

A: Use partial fractions

Q: V7x+2-V6x+4 = )f(x مستمرة عند 2 = ۲ if x 2 and x # 2 1- قيمة الثابت الذي يجعل الداله (x-2) if x = 2

A: Continuous at x=2,  using rationalization

Q: Solve For the orthogonal trajectories (a+x) y² = x² (3a-x)

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Q: 2(д-1)(1-и) 9-1)(2-и)и+1 log((q-1)(2—и)и+1) u? > 0 for u > Show that u E - 0, 1], q > 3

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Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

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Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

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Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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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: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

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Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: F(f)= 2 x-3 4x+1 a Find the dom F and dom F b-) Find ran F and ran F'

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Q: Q/ Let X be the r.v such that E (X) = 2 , E(X²) = 2a , E((2+ aX)²) = 2a³ %3D %3D Find the value of a…

A: It is given that, E(X) = 2, E(X2) =2a, E((2+aX)2) =2a3

Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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Q: Find an example for which (zc)d ≠ zcd with z ≠ 0.

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Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

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Q: 2x+5 Jika fungsi f (x) dan f-(a) = 2, maka nilai a adalah ... x+1

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Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: The table below shows the height (in meter) of a javelin as it is thrown and travels across a…

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Q: Show ▼(E) - G&F - FVG G² G=0

A: Given : G≠0 To Show  : ∇FG =G∇F-F∇GG2