Evaluate all the roots of the equation: z* +1 = 0

Q: 1/3 2/3 Consider the Cobb-Douglas production function f(x, y) = 40x''°y²'°. Compute f(27, 125),…

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Q: rection field for the differential equation y - 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5…

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: Let n 2 2. Assume that Fn is prime. show that Fn = -1.

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Q: Problem 4: Determine the splitting field of the polynomial (r² – 2)(x² – 3)(r² – 4) over Q. Find its…

A: Given,Polynomial : x2-2x2-3x2-4To find: 1) Splitting field of given polynomial                2)…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: 1st we will draw the region and rotate it about y axis to generate the solid . As we need to use…

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

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Q: 2- The ages of the Vice Presidents of the United States at the time of their death are listed below.…

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Q: Solve for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

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Q: Find solution using graphical method MAX Z = 5X1 + 4X2 subject to X1 - 2X2 = 3 and X1,X2 >= 0

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Q: Exercise III (a) Let I = psin(ø) cos (0); y = p sin(6) sin(0); pcos(6). Then find the following. (i)…

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Q: Expand f(z) = in powers of (z – 12) . Also %3D (z- 6) clearly mention the domain in which this…

A: Power series exaption, interval of converges

Q: 15 Part B What is the approximate length of KL, in feet? A. 19.1 В. 22.0 С. 38.1 D. 44.0

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Q: Does the graph represent a function that has an inverse function? 2)

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Q: (3x²+ 2y²)dx + 2xydy=0

A: According to guidelines here solution of only firt question

Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

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Q: Find the Eigenvalue and its corresponding Eigenvector. Show your solution on a paper.

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Q: Consider the set Y = [-1, 1] as a subspace of R. Which of the following sets are open in Y? Which…

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Q: Problem #9: A portfolio has a value P(E, S), so that the value P is a function of E, the price of a…

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Q: 9. Find a basis y1 (x), y2(x) of the space of solutions to y" = y such that Y1 (0) = 1, y (0) = 0,…

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Q: The growth rate of a certain bacteria is known to ve proportional to the amount present. 5000…

A: We have to use P=Poektwhere: P = population Po = initial population k = proportionality constant t =…

Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

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Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: Given that, the light source is directly proportional to the strength of the source and inversely…

Q: Solve the heat problem Ut = Uzz, 0 < I < 7, uz(0, t) = 0, Uz(7, t) = 0 u(x, 0) = 1 – cos(x) u(x, t)…

A: The given problem is to solve the given heat equation partial differential equation with given…

Q: Enter all answers in the answer blank separated by commas. (1)- 3-3i 3+ 3i + 22 (2) z2 +1 3z -1 (3)…

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Q: Use the graph of f(x) to determine whether the function is one-to-one. If it is, find a formula for…

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Q: 2.) f (t) = (t2 – 3, le3t, 0 12

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Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at 5. f (2) = 4 In(x – 4) +1 a) Find the…

A: The given function is fx=4lnx-4+1. We know the Taylor Polynomial of 4th degree at x=a is…

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

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Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…

Q: Find solution using graphical method MAX Z = -2x1 - x2 subject to -3x1 - x2 = 0

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Q: Jump to Problem: 1 2 Problem 1. (3 points) How many shortest lattice paths start at (5, 5) and a.…

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Q: A. If G(2) = F(z) · H(z), then G' (3): %3D B. If G(w) = F(w)/H(w), then G' (3)

A: Derivative of function at point

Q: (c) If a > 0, then > 0. a

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Q: Use the associative, distributive, De Morgan, or other laws to show that:

A: We use Laws

Q: On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas…

A: Given that the maximum temperature recorded was approximately 44°C and the minimum overnight…

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

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Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: 5. Find the polynomial P2(x) that approximate the function Ax)=sin(x) over the interval [0,7/2].…

A: We have to find the polynomial that approximate the function fx=sinx over the interval 0,π2

Q: Find the least-squares solution of the system 1 -5 169 11

A: Given,11-11111-111-1-1x→ = -77-5-3here,A = 11-11111-111-1-1  and b =  -77-5-3

Q: If a matrix A E Mn(R) and rank(A) = n, is it true that the column vectors of A are linearly…

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Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: 1. Find (2x – e") dx e*) dæ

A: Please specify which part is to be solved. In this question we have to find the integral,  (1)…

Q: 1. Solve the DE: (cos y- cos x)y' +cos y sin 2x = 0

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Q: Show that the dictionary order topology on the set R x R is the same as the product topology Rd × R,…

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Q: 4. Use the comparison test to determine whether the following series converge or diverge. (a) k k=10…

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Q: a) Using the minimum sample size determination formula, find the minimum sample size needed if you…

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Q: Write the uncoded row matrices for the message. Message: SELL CONSOLIDATED Row Matrix Size: 1 x 3 1…

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Q: What is the real part of the result of the following: (5 - j5)4? 5 O 25 -50 O -2500 -25000 O 50 none…

A: Given complex number is (5 - j5)4

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.