1. Simplify and express your answer in rectangular form (-21-7)20. Use De Moivre's Theorem.

Q: 2. Factor the quadratic inequality to find ther-intercepts. y Sz² + 2x-8

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Q: Use De Moivre's Theorem to find (-2-2√3 i)². Put your answer in standard form.

A: Step 1Complex number has two basic forms, one is rectangular form and other is polar…

Q: Express (-23+ j2) -6 in rectangular form.

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Q: E MTH 100 E X b My Questions | Fit to page LO Page view A" pect on the exam. Be sure to study all…

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Q: 3+j4) (2-j4) In ( (final answer should be in rectangular form)

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Q: Hw÷ find the Voctor Peralle I to the line intersedbetween the two flane 3X-6y-2Z=5 and 2x+4-27=5

A: The equation of the given planes is, 3x-6y-2z=52x+y-2z=5 If n1 and n2 are the normal to the planes,…

Q: For what value of 'y', x² + 12 + x + y² is a perfect square?

A: Given query is to find the value of y which makes expression a perfect square.

Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

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Q: 3. Express (j-3)° in rectangular form.

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

Q: Perform the indicated operation and simplify the result.

A: Given,          23-2i2

Q: 6. Find all tu roots for each espression. (a) (-2+ 2i) (b) (-3) (c) (2i)

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Q: t = rez Make r the subject-

A: We will transform the equation into a quadratic of "r" and then will solve for "r" using, the…

Q: 2. [Straightforward] Consider the 2 x 2 square [−1, 1] × [−1, 1]. Evaluate: 2x2 square [x² + y²] dA

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Q: Write the polynomial that has the 3 zeros at -2, -6, , and 1. 2'

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Q: Suppose that c. ind the values of c and d. C= [2] + d. d= -3 -10

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Q: Q1: represent the expression of (v-2u+w) on the graph if you know that V, u and w were imaginary…

A: • A complex number z=x+iy can be represented on the complex plane by a point (x, y) on the plane. •…

Q: Q). the Simplity following Q) (J3+i > (J3-1)

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Q: 3. What are the roots of - 5x2 36 =0 1. (3i, -3i,-2, 2} 2. (-2i, 2i,-3, 3} 3. (9,-4} 4. {-9,9,-4i,…

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Q: Solve all questions. All questions carry equal marks. Q 1. a) Let y = x6 – 5x5 + 5x* – 10. Then find…

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Q: 5 53) Write an equation that is perpendicular to 5x - 3y = 4 and passes through the point (-3, 5).…

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Q: ) y''' + 3y'' + 4y' + 12y = 8cos2x - 16sin2x

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Q: Find the distance d(P1, P2) between the points P, and P2. P1 =(-5,5) P2 = (2,4) d (P1, P2) =D…

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Q: Find the distance from (-2,-1) to (3,2)

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Q: 4. (Number Theory) Simplify the following complex fraction: x-y x+y y I-y I + y y

A: Solution

Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

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Q: Use Residue theorem to evaluate dx -- x2- 8x + 17 00

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