The comlex number below when represented is (-V3+3i)(1-i) (3+/3i)(i)(/3+v3i) O In the second quadrant O In the first quadrant O On the Y-axis (imaginary axis) O On the X-axis (real axis)

Q: s+4 (d) s' + 2s + 5

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Q: . Use mathematical induction to show that 13 + 33 + 5³ +· · .+(2n + 1)³ = (n + 1)²(2n² + 4n + 1) whe...

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Q: In a certain chemical reaction the amount, x grams, of a substance is decreasing. The differential e...

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Q: 7. Which of the following is a loop? E F Figure 1 A) BC B) DC C) AE D) None of the above

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Q: Solve for [x]. Assume that lines which appear tangent are tangent. 7 8 X+5 x+1 O x = 3 Ox = 10 Ox = ...

A: To find- Solve for x. Assume that lines which appears tangent are tangent.

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -...

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Q: Match the differential equation with the appropriate slope field. y' = O A) B)

A: Note: We know that, the slope field is a visual representation of the solutions of a first-order dif...

Q: 1. Define G: R² R' by G(0,0) = 0 and G(x, y) = xy/(x² + y²)ž if (x, y) # (0,0). Show that G is conti...

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Q: 3. Find the inverse of A using adjoint matrix. 10 -6 20

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Q: (2- sec?x)eln (afe°sec³x sec(3A – x) What should be the value of A for dx to be integrable using the...

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Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: Use (direct) comparison test to determine whether the given series is convergent or divergent. n +1 ...

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Q: (b) 8[log(2-j3)]e

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Q: Q3. Solve the following nonlinear system of equations using Newton-Raphson method. Apply TWO iterati...

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Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5)– jsin(5)] T = VM² – 1 200,000,000ejo.241 H %3D ...

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Q: An unforced, undamped Duffing equation (see web and Kreyszig §4.6 for applications) can be modelled ...

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Q: Question 5 eln (a/e) sec?x - sec²x)° sec(3A – x) What should be the value of A for -dx 'du? ? to be ...

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Q: Let z = cos(xy) + ycos(x), where x=s^2+t and y=s-t^2 . Find the partial derivatives (derivative z)/(...

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Q: Problem 4. Let w, y, z E Z[i] such that wyz, and let d be a gcd of w and z, show that w|yd.

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Q: The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property ...

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Q: Let C be the boundary curve counterclockwise of the semidisk æ? + y? 0. Then fc(-2ydx + 3xdy) 5dydx...

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Q: of function

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Q: 22 23. Find the product. (-3x – 7)(5x + 8) 24. What's the equation of a horizontal line through the ...

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Q: A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the w...

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Q: a) Find the length of the curve y(x) = x3/2/3- x/2, 3 < x < 4. b) Find the area of the surface obtai...

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A: We draw a graph without loop, find number of bridges by removing edges.

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Q: which of the following SSeries Converge 7n 2n2+1, tan

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Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: 8) Use Lagrange multipliers to find the maximum and minimum values of the function f (1, y, 2) = 1² ...

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are ce...

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Q: 1. Graph the following set on a number line and express the set in interval notation. {xdxs -2} -10 ...

A:     Given :Graph the following set on a number line and express the set in interval notation {xIxS≤-...

Q: a) exists a, c ER such that for every n > 0. |an – al 0 of real numbers such that an → 0 and for eve...

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Q: 1. tan (5225°)

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Q: The manufacturer of color televisions can sell 1600 sets to his dealers at $478 each. If the price i...

A: Let p(x) be the demand function. It is given that: p1600=478 and p2400=350 Since the demand function...

Q: Let A= 130 O 1 o 391 ダメ %3D (AT)! A+AT %3D コロ

A: Given- A = 130010391 To find-  A-1 AT-1 A + AT

Q: On each chord of 9?²+ 16?² = 144 perpendicular to the x-axis is erected an isosceles right triangle ...

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Q: FIND THE ARG(Z) 0F THE FOUOWING compLEX NUMBERS

A: Solution

Q: 6. Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n An+1 fo...

A: We shall solve first question only as per the guidelines.  For others kindly post again by mentionin...

Q: Use the Comparison Test to determine if the series Σ 5n – cos 2n 2 n3 + n² +1 - n=1 converges or div...

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Q: Find the general solution of the first-order linear differential equation. (Use C for the constant o...

A: Introduction: If the differential equation is in the form of dydx+Pxy=Qx, the equation is referred t...

Q: Complex Numbers & Complex Variables 1. (CILO 2, 3, 4) Evaluate the following: (a) Vī (b) 8llog(2-j3)...

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Q: (a) Find the slope of the line connecting the point (2, 6) to the point (4, 12) Slope= help (numbers...

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...