Find the values of 0 if (3 + 2i sin 0)/ (1 – 2i sin ) is purely real or purely imaginary.

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Q: (4) Use the complete Horner's algorithm to write the Taylor series for the following function at the…

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Q: 3 Let T: R4 R³ be a linear transformation. Find T 2 -0-0-0-0 3 and T 1 1 T 1 → 1 = = 5 3 -2 -3 if

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Q: Determine whether the relation R on the set Z is reflexive, symmetric, antisym- metric, and/or…

A: Given: The relation ℝ on the set ℤ and x,y∈ℝWe need to check whether the given ℝ on the set ℤ is…

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Q: Suppose that A = 2 - 2 1 1 00 0 0 1 Find the eigenvectors of A (a) Eigenvector with respect to the…

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Q: 33-40. Areas of regions Make a sketch of the region and its bounding curves. Find the area of the…

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Q: What is the rank of each of the matrices below? (a) 1 0 1 0 0 6 010 (b) (c) (d) Д 90 10 0 1 -1 7 00…

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Q: (6407 #4 p. 327) Let R denote the region bounded by the parabola y = r²- 3r and the line y = r. Let…

A: Given: Region, R is bounded by the parabola y=x2-3x and the line y=x.            Solid S is…

Q: If 1+i 1- - m = 1, then find the least positive integral value of m.

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Q: (18) Use Euler's method to compute two points: (x1, y₁) and (x2, y2) that approximate the solution…

A: Euler's methods, solution of the differential equations

Q: 14. How many vertices does a full binary tree with 6000 internal vertices have?

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Q: Evaluate L. (4² COST (x² + a²)² da, where a > 0, using the residue theorem.

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Q: Let f(x) = -5 Do the following. ex e (a) Evaluate the limits: lim f(x) and_lim_f(x). x→1+ x18 (b)…

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Q: For n N, let fn [0, 0)→ R be defined by fn(x) = (a) Prove that (fn) converges pointwise on [0, 0o)…

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Q: Find the Maclaurin series for the function. (a) f(x) = e-2x (b) f(z) = xe* (c) f(x) = x-1 x + 1

A: According to guidelines i solve first 3 subparts. So kindly request you to repost the remaining…

Q: Use cylindrical coordinates in order dervive the formula for the volume of the following ellipsoid:…

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Q: graph for a function y = f(x) that satisfies all of the following conditions: f(- x) = f(x); f^…

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Q: 8. Solve the initial value problem for the following system: where x(0) = 1, y(0) = 0. dx dt dy dt =…

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Q: Which of the following graphs have hamiltonian circuits? P 0 M OA DC R I Н L H H U G H H OB S X OD R…

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Q: Minimize C = -2x-y-3z subject to x + z ≤ 30+ y x+y≤ 10+Z

A: The given problem is to find the solution for the given linear programming problem with given…

Q: Exercise 16.1.6. 550 CHAPTER 16 FURTHER TOPICS IN CRYPTOGRAPHY (a) We may define a function f : Z7\…

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Q: Find the Maclaurin series for f(x) = x³e²³ x8e²³ n=0 On what interval is the expansion valid? Give…

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Q: Solve 2(1 + x² 4(2-x-5-3;= 0.

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Q: [F. dR by integrating ♬ along a smooth curve whose initial Evaluate and terminal points are the same…

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Q: b. Find z,z₂ in polar form. c. Find in polar form. 41 d. Find the square roots of 2, in polar form…

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Q: Can we make the matrix J = B₁ = B₂ = B3 = B4 = 02 [12] Answer: J = -1 0 - 2 [²2¹] 3 8 5 1 1 36 Yes,…

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Q: Letf(x)=4x. (a) Sketch the region R under the graph of fon the interval (0, 2). y 1 2 3 Find its…

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Q: Evaluate the following postfix expression: 53-2146 2/+*

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Q: In 2013, the average surface temperature of the earth was 58 (degrees Fahrenheit) and, according to…

A: In 2013, the average surface temperature of the earth was 58 (degrees Fahrenheit) and, according to…

Q: Find the dimensions of the following vector spaces. (a) The vector space P[] of polynomials with…

A: (a). As Basis of of P5[x] is given by {1, x, x2, x3, x4, x5}. Here basis contains 6 elements. Thus…

Q: Find the future value of the loan. Assume 365 days in a year. $6198 at 5.46% annual simple interest…

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Q: 5. Solve the initial value problem (a) y" - 4y' + 3y = 0, y(0) = 7, y′(0) = 11.

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Q: (-1)^(n+1)/(sqrt(n)((lnn)^(2)). Prove that those are convergent but not absolutely conve

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Q: Find the flux of the vector field F = (ïª, z, – y) through the helicoid with parameterization r(u,…

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Q: Let p be an odd prime. Show that if (p − 1) Xn, then 1 + 2 + + (p − 1) = 0 mod p

A: The given problem is to show that for p an odd prime if (p-1) not divides n then 1n+2n+...+(p-1)n=0…

Q: 4. Find the length of the path over the given interval. c(t) = (t² + 1,4t³ + 3); 1 ≤ t ≤ 4

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Q: 1 / (√ECOS (2√7) 1 √t cos(2√t)√t cosh² (√t), (i cosh² (√)) dt

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Q: Compute the following Laplace transforms by hand (not using a table, although you can check your…

A: Laplace transform is defined as for the positive integer s&gt;0, L(f(t))=∫0∞e-stf(t) dt. Laplace…

Q: 5. Let f: R² → R, f(x, y) = x²y, c = (1, 1), and u = (1,1). Find Duf(c) and prove your answer with…

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Q: Let Q[√c] denote the set of numbers a + b ⋅√c, where a,b ∈ Q for some c ∈ Z. I must prove that Q[√c]…

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Q: (3) Determine the number of terms in series of ln(1+z) needed for computing In 1.1 with error less…

A: A Taylor expansion of ln(1+x) is given. One has to determine the number of terms in the series of…

Q: Prove that 5n²+3n+2 € O(n²).

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Q: Find the location of the indicated absolute extremum for the function. 17) Maximum -6 -5 -4 -3 -2 -…

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Q: Find the x-intercepts, y-intercepts, asymptotes, and point discontinuities (holes in the graph) of…

A: (1) VERTICAL ASYMPTOTE -: IF WE HAVE AN FUNCTION SUCH THAT ,  limx→af(x)=±∞ OR, limx→a+f(x)=±∞ OR,…

Q: 1. Let "W" be the set of vectors of the form below. Show that "W" is a subspace of R4. You must show…

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Q: Linear Algebra. Find an equation of the line that passes through the point (5,-2,4,3) and in the…

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Q: Find the Fourier series for the function: v(r) = -5 volts for - 10<t< 0 seconds y(I) = 5 volts for…

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Q: Evaluate the integral (x² + y²)y dA where D is the region bounded by D the circle x² + y² = 2x using…

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Q: K= 3.2= $\frac{1}{16}\rho A v^39$ $\rhoS = 1.2256 kg/m$^39 A = Betz's limit = 0.593 v = 15°C = 15…

A: This is written in latex. We can calculate the value of K in number .That is given in the following…