12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: pls help me solve the problem(complete solution): Given the following points: P (2, 0, 3), Q(3,6,5)...

A: This is a problem of vector algebra.

Q: 4. Solve the equation z3 + 8i = 0

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A: Please post multiple questions separately.

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Q: (b) Find the area of the triangle whose vertices are A(0,0,0); B(1,1,1) and C(0,2,3).

A: Given vertices are A0,0,0, B1,1,1 and C0,2,3. We have to find the area of the triangle whose vertice...

Q: Find the eigenvalues and suitable bases to write the following complex matrices in their Jordan norm...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

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A: Since you have posted a multi subparts question according to guildlines I will solve first three que...

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Q: 2. + 2y = cos(x) 3. y cos(x)dx + 3sin(x)dy = 0 dy 4. dx 1-2у-4х 1+y+2x

A: We will identify type of differential equation and then solve it accordingly  Note :According to gui...

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A: Solution

Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

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Q: у (4х + у) da 2 (x² – y) dy - - 2x2 + x + 2 ln y = C ans.

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Q: Determine the roots of the complex numbers studied in class. 28. z5 = 4i 29. z5 = 6i

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Q: 32. y" + y = sec x; y = c1 cos x + c2 sin x + x sin x + (cos x) In(cos x), (-7/2, T/2)

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Q: 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2...

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Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). 1(1 - z² -...

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Q: What is 2+4

A: The value of 2+4 is 6  

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A: Solution

Q: Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

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Q: (d) y" – 8y' + 20y = 100x² – 169xe". -

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Q: 4(cos 190°+isin 190°) If A = B = (-1+ i)10 and C = 40e3", 2(cos 70°+isin 70°) solve for A + B + C. E...

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Q: 9+5k Consider the series (2+k²)²" k=1 a) Enter a p-series that can be used to determine the converge...

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Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the inte...

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Q: the derivativc Of R (E) =

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Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

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Q: z- 7x+ y = 2 , 2y + x-z 6 , 3z = 0 use the inverse method to find x,y,z 6)

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Q: What's x, if the perimeter of the rectangle is 20. /x+10 x+10

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Q: (a) Factor the following: · [[b-1)/ (8b² – 8b)] • [6b² + 8b] · [x² + 2x) / (3x + 6)] • [(3x + 3) / (...

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Q: Show that p(t)dt p(t)dt q(s)ds + c y(x) = exp exp is a solution of dy +p(x)y(x) = q(x). dx

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Q: Solve. Use a calculator as needed for evaluating formulas. At the end of 10 yr. Roberto will pay Rob...

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Q: Complex Numbers: Find the roots. z° = 4i

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Q: Truth table ABCDA^ D 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 O 10 0 0 10 1 0 1 1 0 0 1 1 1 10 0 0 |10 0 1 |1...

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Q: Determine R (H) if R'(4) - . R

A: We have to find vector R(t).

Q: 37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of ...

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Q: 1. y,=e"; y;=e*; L.I. 2. y, =xe"; y:=e"; L.I. 3. y, =senx + cos 2x; y;=3; L.D. 4. y, =x; y, =e; y,=x...

A: We have to check whether the given expression is linearly independent or not.

Q: 12 log (a cos 0+b² sin 8) de log (a+b a>0, b>0 2

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Q: S, (x + 2y) dx + x dy. C consists of line segments from (0. 0) to (2. 1) and from (2, 1) to (3, 0)

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Q: y=2 | -r

A: The given problem is to evaluate the given definite integral, we can solve it by using substitution ...

Q: B: Represent the region shown in figure (2) by double integrals of order dydx, dxdy and rdrde. y = V...

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Q: whose

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Q: 3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of corresp...

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