22 Write the number (√3+ i) in the form x + iy.

Q: Find the most general real-valued solution to the linear system of differential equations 12/2 x₁(t)…

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Q: Find a basis {p(x), g(x)} for the vector space {f(x) = P₂(1) | f'(-2) = f(1)} where P₂(x) is the…

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Q: Find the range of g(x) = 3x-7 2+5x What should be the domain of g(x)?

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Q: 4. Evaluate: sin² dz.

A: Here we use Cauchy's Integral formula to evaluate given integral.

Q: 11.0, Prove that the interior of the interin of a set is equal to the interies of that set

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Q: Find the Maclaurin series of the function ƒ(x) = 3x³ – 4x² - 6x +4 (143-144) CO = C1 = C2 = €3 C4 =…

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Q: w is an imaginary root of unity. Prove that (i) (a+bw+cw³²)³ + (a+bar+ca)³ = (2a − b − c) (2b − a −…

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Q: 8z Compute the inverse z-transforms of z²-6z+25

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Q: ntsh For each of the following relations on the integers Z, say whether is an equivalence relation;…

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Q: Consider the matrix equation -12 4 0 4 000 16 -9 00 16 -9 4 0 -9 16 4 04 00 00 1. Using LU…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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: irectly opposite on the other side/shore. If the speed of the boat (in still water) is 16 mph and he…

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Q: Evaluate r(u, v) N₂² , 0 ≤ u ≤ 1, 0 ≤ v ≤ π with upward orientation. = F. ds, where = and S is the…

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Q: Introduction to Discrete Mathematics Let A = {x ∈ Z | ∃k ∈ Z, x = 3k + 2}, B = {x ∈ Z | x ≡ 1 (mod…

A: Let A = {x ∈ Z | ∃k ∈ Z, x = 3k + 2}, B = {x ∈ Z | x ≡ 1 (mod 3)}, and C = {x ∈ Z | 3 | x}. We now…

Q: Let & be an integer greater than 3. Calculate and simplify completely ¹+¹ 1=3

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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: For the given corporate bond, whose annual simple interest rate is provided, find the semiannual…

A: Principal value = $5600 Rate (r) = 6.033% = 0.06033 ( in decimal) Bond period = 30 years Semiannual…

Q: (c) xy' + 4y = 3x², y(2) = 4

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Q: termine the general/particular solution (whichever applies): + 4y' + 4y =(3+x) e -2, when x = 0, y =…

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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Q: (g) Let f(x, y) be a C² function which has a local maximum at (0, 0). Then the Hessian matrix of f…

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Q: 4x y" - 5y + 4y = ¹, y(0) = 0, y'(0) = 10/3 e

A: Please find attachment

Q: 7. Let A be an 12 x 12 matrix given by 2 1 2 A = 1 2 1 2 -3 3 1 3 5 01 (a) What are the eigenvalues…

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Q: parabola y = x2 from (0, 0) to (?, ?2)   Use x as the parameter to write parametric equations for C…

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Q: Write the equation for the plane. 1. The plane through the point P(7, -6, 6) and Perpendicular to n…

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Q: Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real numbers not all zero, such that a + b +…

A: Given:  a+b+c=0, az1+bz2+cz3=0. To show: z1, z2, z3 are collinear.

Q: D E B F Find an Euler path for the graph. Enter your response as a sequence of vertices in the order…

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Q: not correct

A: Given, The function  f(x,y) = 2x2-2x+4y+5y2   We have to find the critical point of the function.

Q: Evaluate (x+y-52) dV where E = {(x, y, z) | − 7≤ y ≤0,0≤x≤y, 0≤ z ≤ x + y²}

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Q: Suppose that $10,681 is invested at an interest rate of 5.6% per year, compounded continuously. a)…

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Q: Suppose three tests are administered to a random sample of college students. Let X₁,..., Xy be…

A: As per the question we are given the covariance matrix of a students' data and the index : y = c1x1…

Q: Consider the Boundary Value problem 8²u 8²u + əx² dy² u(x,0) = x(7x), u(0, y) = 0, u(7,y) = 0, where…

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Q: Problem 4. know about If the power series en x" has radius of convergence 3, what do we n=1 (c) Σ en…

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Q: (1 point) Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R.…

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Q: Suppose that you have a curve C that is given by r(t) = (t2, 2t, t3) from t = 0 to t = 1. Let…

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Q: Find the critical points of f(x,y) = (x³y-y³) 5

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Q: Find an equation of the tangent plane at the given point. g(x, y) = exly, (6, 1) (Express numbers in…

A: The given function gx, y=exy. We have to find the equation of the tangent plane at the point 6, 1.

Q: Can we make the polynomial a(x) = polynomials? h₁(x) = – 1 h₂(x) = x + 2 h3(x) = x² + 1 Answer: Yes,…

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Q: The space P3 consists of all 3rd degree or less polynomials a + bx + cx² + dx³, and the standard…

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Q: Prove that R is a complete ordered field.

A: Any set F which satisfies the following 8 axioms is said to be a complete ordered field. If…

Q: 11. Prove the Cantor-Schroeder-Bernstein Theorem.

A: To Prove: The Cantor-Schroeder-Bernstein Theorem.

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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Q: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

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Q: Determine if the set {x + y∛2 : x,y ∈ Z} is a ring. If so, please prove why. (Z represents integers)

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Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3205…

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Q: the equation in terms of general ons. =0 quation has a regular singular poi onents at the…

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Q: Evaluate the integral by integrating with respect to x, y, and z. x=+1 64 SSS 00 4x-y Z (7).* + dx…

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Q: May i please request a hand written solution.

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Q: Make a problem about direct variation then solve it.

A: PROBLEM: John counted ten seconds between seeing lightning and hearing thunder, and he knew that the…

Q: f(x,y)=x-y; x² + y² ≤ 1, x+y≥1

A: Note: Cartesian-polar coordinates relation: x=rcosθ, y=rsinθ .