Express Log (2+1) 3+4i in Cartesian form (x+iy). Justify all of your steps.

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Q: Find the limit, if it exists. If it does not exist, explain why. Points: 2 1) lim √x²-9 X-3-

A: I have explained everything with in the solution. Please go through that.

Q: Ⓒ Determine the Power Series Solutions to the ff. P.E.: a.) y" + y = b b.) y " + xy + y = D 20

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Q: Consider the function f(x)=2-2x² on the interval [-1, 6]. Find the average or mean slope of the…

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Q: Solve using Laplace transform: y"+3ty'-6y=1, y(0)=0, y'(0)=0

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Q: 1.. If 7-(-3, 2] and -(2,-4), find -7+37. a. [3,-10] b. √√√277 2. If p-[5,-3] and [1,4], find…

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Q: Find the coefficients an and bn of the Laurent series ∞ ∞ Σan(z-zo)" + [bn(z-zo)-n n=1 n=0 of the…

A: As per the question we are given the following function on complex domain : f(z) = z15 sin(1/z5)  ,…

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A: Here, the given fz=sin1zcosz-πz-3π2z+4i2. To Find: The nature of each of these singularities.

Q: Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (²…

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Q: 4. For each of the following subsets of the vector space of 2 x 2 matrices, determine whether or not…

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Q: What is the connection between Elliptic curves and group theory?

A: Group theory is a branch of abstract algebra that studies the properties and structures of groups.…

Q: Use Variation of Parameters to find a particular solution to y" +9y = tan (3x).

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Q: 2. For the raatrix A = I 1 I -2 0 1 0 I -1 -3 1 1 compute a basis for (a) the row space, (b) the…

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

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Q: li) 8 x³ + 2x² - 4x - 8 r³+2x² J dr

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Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series n³n Σ…

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Q: Find all the solutions of the following equation 3z +(2-1)Z = 7+i n Cartesian form. Justify all of…

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Q: For the series n=1 (n In n)5 72 you can prove its convergence by comparison to

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Q: Perform the indicated operation. Write the answer in the form a + bi. (8-51)² + (8 + 5)² Select one:…

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Q: Part (b) please

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Q: In P2, find the change-of-coordinates matrix from the basis B = {1-3t+1²,2-5t + 31²,3 - 6t+7t²} to…

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Q: F(r, 0 ) G(r, e, z) = r² coser = + r sine er GAD r² sine e r cose è and + rez

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Q: Find the coefficients an and bn of the Laurent series Σan (z-zo)" + [bn (z-zo)" n=0 n=1 of the…

A: We are given the following function: f(z) = z15 sin(1/z5)  ,  0 < |z| < 10 and we need to find…

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Q: = A: a) Let T be a linear functional from R³ to R. Show that there are 3 real a,b,c such that T((x,…

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Q: Let D = {d₁.d₂.d3} and F = {f₁.f2.f3} be bases for a vector space V, and suppose f₁ = 5d₁-d₂ +6d3.…

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Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series…

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Q: Q6. Use the Bisection Method to estimate 3√11 (cabe root of 11), to a tolerance of ε = 0.005 E…

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Q: A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the…

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Q: A. Show that 1² + 2² + 3² + ... + n² : 2 B. Prove that 4n+ 12n is divisible by 8 for all positive…

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Q: cos y, (a, b) = (0,7), and v= (1,3). a. Calculate the directional derivative of at the point (a, b)…

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Q: How many elements are in the one-dimensional array shown below? A[7]. A[8]. ..., A [¹45] O 66 O 55…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: (ii) [cot(ar) dr, a € R

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Q: please answer parts D,E and F in the question above, the answers you have given so far is correct

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Q: 4. Given the function below, what would be the domain of the function's inverse? T 2 1/2 -0.5 ≤x≤0.5…

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Q: For each of the sets find the set of boundary points and the set of interior points. Also state if…

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Q: 2. Solve the following equations using the technic (b) d'y d12 +9y=sin (31)

A: d2ydt2+9y=sin3t Complexificating above expression we have d2ydt2+9y=(cos3t+isin3t)⇒d2ydt2+9y=(ei3t)

Q: Steve's salary was 20% less than Pat's salary. After Steve had a pa 10% and Pat had a pay cut of…

A: Let say Steve's Salary in the end was $x