9 The roots of the quarticx-2x³ + x²-4 = 0 are a, b, y, S. Show that S4 = 953.

Q: エ+1 dx (7² +2x)

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Q: S={(x,y)∣∣x is the son of y}

A: The given set S={(x,y) | x is the son of y} is not a mathematical or geometrical expression. It is a…

Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

Q: Find the value(s) of z which satisfies the equation |z| 2 + 1 + 6i = 6z

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Q: Use m = =√₁m [cos (m² (0 + 2kπ)). + 2kx)) + i sin in((0 + 2kx))] to find all solutions of the…

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Q: 1-x 1 0 0x=x-7x denklemini sağlayan x değerlerini bulunuz. 21 -1 X 4

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Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: FCX)={x-3)? C12

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Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: Find two linearly independent solutions of y" + 1xy = 0 of the form Y₁ = 1+ a3x³ + α6x6 +.. Y₂ = x +…

A: The given problem is to find the coefficients of the 2 linearly independent solutions for the given…

Q: 2:2 + [3] x + 2 = [0] in Z6.

A: The solution given below with attached file.Explanation:

Q: 3 y`dy 3 (4 -у?): 2

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Q: Show that the equation 24 = (-5 – i/T) z+(60 – 80 i) has no solutions in the closed disc z| < 3.

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Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

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Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: (b) Show that general solution of the second-order difference equation: yk+2 - Gyk+1 + 8yr = 2+ 3.k²…

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Q: 3. Express 4xi + 5yi° + óxi* + 2yi* in simplest a + bi form.

A: Given z=4xi+5yi8+6xi3+2yi4 To express Z in a + bi Form:

Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

Q: The negative complex roots for the quartic equation x* +x² –1=0 are: 1-5 b. i + a. ti 2 c. ti 2 |1+…

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Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3).

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Q: 5. The equation 12x = 20 has 4 solutions in Z56. In general, the number of solutions in Zm to the…

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Q: Show

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Q: Find curl (9z i + 10x j+ 6y k). curl(9z i+ 10x j + 6y k) = ( i )i + (i j +( )k

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Q: 4. Calculate Res z+1 z²+9 -3i

A: The answer is (1/2)+(i/6)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 19) Write tanu as R linear power of

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Q: All solutions of the equation z* – 16 = 0 are - z = 2i, z =-2i Ob. z = 2, z = -2 z = 1, z=-1, z=-i,…

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Q: b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,–4), (1,–3)} be the point-value…

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Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

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Q: If e* and xex are solutions of y"tay'tby=- Are soluhons linearly independent? write the soluhion.…

A: Given that e−x and xe−x are the solutions of y''+ay'+by=0. We have to check whether the e−x and xe−x…

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y  + (2y-2x)∂u∂z = 0 We will solve it by…

Q: 6. Determine the four roots of the equation (z–2)*+(z+1)' = 0 and plot them on an Argand diagram.

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