1. Find the nine roots of -256 – j256/3 . 2. Find all the roots of f (z) = 226 + 81/3 – j81

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A: Introduction: A proposition is a set of declarative assertions that have either the truth value…

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A: Since you asked for part 1, so I solved only part 1.

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A: Simple Harmonic motion so y(t)=0 is not a solution.

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A: Hi! For the part (c), we will be needing the information that what all groups we have seen before…

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A: Here we use basic defnition of major axis

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Q: Let u = and v = Show that is in Span (u, v} for all x and y.

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Q: Find a possible formula for the function in the figure below. P = (0,2) Q = (8,0) ) -16 -12 -8 12 16…

A: Given is a figure of a function   Given that graph of the function passes through P(0,2),  Q(8,0)…

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Q: Let the curve C be traced by the vector-valued function Rt) = cos(rt) i + xt j + sin(rt) k. %3D

A: The vector valued functions are usually represented in the form: r→(t)=x(t)i^+y(t)j^+z(t)k^, where…

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Q: Let h be a twice-differentiable, decreasing function of t. If h(-5) = 40 and h(15) = -20, which %3D…

A: Introduction: The mean value theorem asserts, approximately, that for each planar arc between two…

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Q: 1. For the following exponential function identify the initial value, the growth factor, and growth…

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Q: 4. Modify the Euler method to obtain the approximate values of y(3) and y'(3) y" – y' + y = t, 2<t<…

A: Given that    y"-y'+y=t                        1⇒y"=y'-y+t we will solve this problem through MATLAB…

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Q: (1) Show clearly the equation that you need to set up to explicitly test span (try to build the…

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Q: Short Answer a) True or False? Please explain your answer. In rdr = -+c. b) If u(t) is the velocity…

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: (a) Solve 36-1) = 10. %3D (b) Solve 2e'-2y = 3e³y+2

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Q: 5) 8 yd 7 yd 3.5 yd- 4 yd 3 yd

A: We are authorized to answer one question at a time, since, you have not mentioned which question you…

Q: 9. Examine the leading term of the function P(x)=-2x³ + 3x² - 5x +3. Determine the far-left and…

A: Given function Px =-2x3 +3x2 -5x+3

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A: Residue of the function

Q: The interval of convergence of the power series -)" is given by OA -5<x<l OB. -s<x<1 OD.-5<xs1 E.…

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Q: Find the r- and y-intercept for the following line: 15- 5 = 5 Goraph 2л - бу — 12

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Q: 12. Graph each polynomial function. leovlo a. P(x)= x(x² – 1) b. P(x)= x -6 c. P(x) =x* – 10x² + 6…

A: (a) Given, P(x)=x(x2-1).             ⋯⋯1 Calculate the x-intercepts of the function P by…

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

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Q: 1. Let P(1, yı) be a point on the parabola r = 4py, p> 0, with focus F(0, p). Let a be the angle…

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

A: To solve given initial value problem we used the power series method.First of all we suppose a…

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Q: The curves r1(t) = (5t, t2, t4) and r2(t) = (sin(t), sin(5t), 2t) intersect at the origin. Find…

A: The equation of two curves is given as follows. r1t=5t, t2, t4 and r2t=sint, sin5t, 2t It is given…

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Q: RULES: a. Add b. Subtract c. Multiply by d. Divide by e. Multiply by f. Divide by ocedure 5. Answer…

A: Procedure 1: Let two numbers be 8 and 16. Since 8 is less than 16, therefore, the inequality will be…

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Q: 1 3 4 5 6 У 1027 1461 1806 2445 3311 4619 Use regression to find an exponential equation that best…

A: The regression analysis is done to fit a data set into an equation. A graphing utility can be used…

Q: (v) (vi) -1

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Q: OB. q

A: Option B = q  is correct answer

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