Determine the two square roots of the given complex numbers in cartesian form and show the results on an Argand diagram. 1. (a) 1 + j (b) j 2. (a) 3 − j4 (b) −1 − j2 3.(a) 7 angle 60° (b) 12 3π/2

Q: I Example 10.24. If = dy 2eły, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: here we need to use Adams predictor-corrector method and Euler's modified formula.

Q: 5. Let p be a prime. Prove that the group (x, y|x' = yP = (xy)P = 1> is infinite if p> 2, but that…

A: The given group is <x,y  xp=yp=xyp=1>. To show: if p>2 then order of the given group is…

Q: I Example 10.23. Given dy x?(1 + y) and y(1) = 1, y(1.1) = 1.233, y(1.2) = 1.548, y(1.3) dx = 1.979,…

A: We can solve this question using Adams bashforth method

Q: Find the maximum and minimum values of the function f(x,y)=2x^2+3y^2−4x−5 on the domain x^2+y^2≤9.

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Q: Explain each of them with a easy understanding so people can understand fast and easy. Also prove…

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Q: Given the following data; 2.0 1 s1s) 0.6570 0.9039 0.9985 0.9407 0.7344 0.4121 1.2 1.4 1.6 1.8 By…

A: We have to find the value of f(1.5) using (a) Newton forward difference and (b) Newton Backward…

Q: A sequence is given by the recursive definition an = an-1 + 3, ao = 2. a) Find a1, a2,ɑz. b) Find a…

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Q: (a) f(t) = 2t - 3 (b) f(t) = 5t2 + 4t – 3 1. 2. fe)--2* +을 f (t) t5 2t* + 15 (a) f(t) = 5e 3t (b)…

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Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - = 7.85 0.…

A: To find- Use the Gauss-Seidel method to obtain the solution of the system (Two iteration) 3x1 -…

Q: Given any first-order differential equation, outline a process for determining an appropriate…

A: We have to give the process for determining an appropriate solution method.

Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 favg f(x, y, z)…

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Q: Replace the first column of the coefficient matrix with the constant terms of the linear system and…

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Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: Cis the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: Jon and Dani live 270 miles apart. One day, they decided to drive toward each other and hang o…

A: To determine the distance that Jon and Dani drive to met up.

Q: A ssuming that f x) is periolic fox ) = , -1<メくo 1. Delermine t he Fourier series corresponding to…

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Q: Dis cuss the existness of the elivirative of the funetion 3. 又X-1 in each Point of the domain

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Q: 3tx dx - (? -x?) dt = 0

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Q: Express the system of differential equations in matrix notation x"-7x' +1'y- (tan t)x= 0 y" +2y"…

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Q: 5. Write the following statements symbolically and then demonstrate whether they are true or false.…

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

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Q: 2. Use a Taylor polynomial to show that, for large wavelengths, Planck's Law gives approxi- mately…

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Q: laplace{sin3t sin8t}

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Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

A: Given that  The doubling period of a bacterial population is 10 mins At time t=110 mins, the…

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…

Q: Ronus Question Consider the problem of estimáting the fourth root of a number A. Write down f(x) so…

A: According to secant method if x0 and x1 are two initial guess for root of f(x) . Then next…

Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x, 0.1x -…

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Q: Earlier we saw that Channel 6 News ran a poll on social media asking their followers to rank four…

A: Here we need to compare pairwise and determine the winner. That is we need to compare two candidates…

Q: 1) Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 in the circles below so that the sum of the numbers…

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Q: company estimates that the weekly sales q of its product is related to the product's price p by the…

A: Given the function of company sales, q and product price p is q=17775p94. We have to find the…

Q: a) f(x) = - 3(2") %3D b) g(x) (2') 4

A: Given: a)f(x)=-32x b) g(x)=142x To sketch: The graph of given functions and state the transformation…

Q: The integral fo So So sino do de dp represents the volume of a Ball centered at origin with radius r…

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Q: Let f be a function that admits continuous second partial derivatives such that VS(7, y) = (4r" –…

A: Given that, A function of continuous second derivatives , such that ∇fx,y=4x3-2a2x+2a2y,…

Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: Find the limit. Enter DNE if the limit does not exist. lim = DNE (7,v) → (0,0) z² + 11y²

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Q: Use function notation (with m and n) to write a composition representing the price of a ride to work…

A: Given L = n(T), from the given info we know for each increase in hour the ride time increases by 1…

Q: When solving ordinary differential equations, the derivatives are approximated with O grid and…

A: In general, a finite difference approximate to the value of some derivative of a function at a point…

Q: 1) What is the greatest common factor of 9z and 6z? Choose 1 answer: A 3x 3x2 18 D. 182 54x2

A: Applying the definition of greatest common factor in solving the problem.

Q: 1-t+2 sin t -1-t+2 cost is a solution of the system y' 0 1 -1 0 Verify that y = with y(0) = | | |:…

A: Introduction: A system of differential equations is a finite set of differential equations in…

Q: |Example 10.27. Find an approximate series solution of the simultaneous equations dx/dt = xy + 2t,…

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Q: Fill in the blanks in the following truth table. TTT (d - b) V d - d - + b ? v ? v ? v ?く TFT ? v ?…

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Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

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Q: O Calculate the integral y dydx

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

Q: Consider the following function. f(x) = 2 sin(x) + 2 cos(x), [0, 2n] Find f'(x). f'(x) Find f"(x).…

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Q: Solve the initial value problem. dy + 3y – e -* = 0, y(0) = dx 2

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Q: 1 n+n cos? n n-1 IM:

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Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 – 2x. O A. $142.00 O B. $152.00 OC. $166.00…

A: Given  C(x) = 10 + 56x p = 92 - 2x

Q: (x – 2y + 5)dx – [2(x – 2y) + 9]dy = 0 (x² + y²)(xdy + ydx) – xy(xdx + ydy) = 0 (6x – 3y +2 )dx -…

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Q: Sketch the graph of the cylinder x (y – 2)² in R³. %3D

A: Solution:   First of all x-y projection of this 3d graph is