3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

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Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: 6) n - 3 = V 44 – 4n

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Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: 6) - 5) 4x+2 19 4 4x 18

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Q: Calculate (a +5) -č where a = (-1, 2, 3), 5= (1, 1, 1) and = (2,-2, 1)

A: Consider two vectors u→=u1, u2 and v→=v1, v2. Then the sum of these two vectors is defined by…

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

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Q: 2. (-2, 3) and (2, -1) m%3D X,- X, 1- 2 -

A: Given that (-2,3) and (2,-1)

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Q: Find yll if x²+4y²=7

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Q: An object is being heated such that the rate of change of the temperature T in degree Celsius with…

A: Here we have to use the Runge-Kutta 4th order method

Q: You are given the graph of a function f. 411 -3-2-1 123 -1+ Determine the intervals where the graph…

A: Concave upward, concave downward and inflection point can be determined from the following figure

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: Find the solution for 3/4 - (-6/12)

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Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: 10 (S) (S+3)² = (3) (S+3) ²³ + K₂ (S+3) + K3+ K₁ (3+3)

A: The given equation is 10ss+32=k1ss+32+k2s+2s+32+k3+k4s+3 To find the value of k3 when s=-3 .   The…

Q: .2 y = 4 - x² and x +y = 2.

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Q: area bounded by f(x) = 9x² – 2x + 1, the x-axis, x = -2 and x = 1

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Q: C. Let z = 1 (2 – 3i)² – (2 – 3i) — 2-3i- - real part of -13z is The

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Q: 1/3y+4=1/5y

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Q: 6. sec²(3x) – V8 W%3= 6x +9 0.

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Q: 5" +4" Find Ln=1

A: Here we found thw sum of series . This series is convergent also because sum is finite. See detailed…

Q: 5. (-10, 1); 2r + 5y = 15 %3D

A: We have to calculate the equation of line at passing through a point (-10,1)  First we have to…

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Q: If a = (2.-1.9) and b (, 2.1). find the following. a x b = %3D b x a = %3D

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)