bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

Q: (32) Find the derivative: d cos(x) a (16) √ 1 - 13dt). t²dt dx

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Q: 3. A probability mass function for a particular random variable y having nonnegative integer values…

A: We obtained the pmf and moment generating function. The detailed solution is attached below.

Q: برهن على صحة التكاملات التالية : fx²J, (x) dx = x²3, (X) + x1(x)-[Jux) dx J, [x*J₁ (x) dx = x* J,…

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Q: Place the numbers 2 to 10, inclusive, in the magic square so that the sum of the numbers in each…

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Q: Convert point (-8,8,-7) from Cartesian coordinates to cylindrical coordinates. Hint: r² = x² + y²…

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Q: Let A(0) = $100 and A(1) = $110. Also let S(0) = $25, and suppose that the random variable S(1) has…

A: The given problem is solved using the formula for forward contract. The detailed solution is…

Q: Three points represented by complex numbers a, b, c lie on a circle with centre as th TI

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Q: Q4:- if you know that data ( 12, 10,12,10, 10,6) find the :- Mode, median, mean, variance and…

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Q: e-3t sin (4t) y (0) ==

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Q: PROBLEM For any >0 show that the series Σ exp 1 n²+e converges almost everywhere. 2 logn (√…

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Q: If f(x) is a polynomial of degree <3, f(a) a x-a

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Q: B-For the surface z² = x² + y² find the directional derivative at the point (√2, √2,-2) in the…

A:

Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

A: Given: AB=c, AC=b,BC=a

Q: 1. Show, by drawing, that the following graphs are planar: (11) the graph of the octahedron.

A: Solution :-

Q: Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that z₁+z₂+z3 = A…

A: We will use properties of cube root of unity  ω3=1  and  1 + ω + ω2 =0

Q: A disk is shaped a flat circular plate it's radius is 4.25inches to the nearest hundredth what is…

A: Solution

Q: Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six…

A: The given function is f(x)=2 cosx -x  find the derivative f'(x)=-2 sin x-1  x0=0 f(x0)=2 cosx0…

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: A and B are nxn matrices. Check the true statements below: A. det AT = (-1)det A. B. If one multiple…

A: Solution:-

Q: Q2:Find the Laplace of the following functions: 1 - cos(2t) 1. f(t) = t 2. f(t) = t² sin(4t) 3. f(t)…

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Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

A: Solution :-

Q: lim x-+∞ [5x+2]] X

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Q: Can the graph G be orientable ? G:

A: We say that a connected graph is orientable if and only if every edge belongs to a cycle. We see…

Q: Problem 14 problem: Using the Laplace transform, solve the following initial value y" + 4y + 3y = e,…

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Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. dy(x,0) y(0,1)= 0,…

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Q: 3. Use a midpoint Riemann sum with n = 300 to approximate (22³ – 8)dr. Round your answer to -2 four…

A: we are to divide the interval with length ∆x =0.023333333333333 So  the data points are…

Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

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Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=, to approximate the integral ₁³e-2x²…

A: 1. a) Consider the given integral, I=∫13e-2x2dx, with h=18. The trapezoid rule states that,…

Q: Given: f(x, y) = xy + 8; R is bounded by y = x7.5 and y = 7.5x Question: What is the average…

A: The region bounded by  y = x7.5   and  y = 7.5x is shown

Q: S 5 1 1

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Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

Q: Find the negation of the following statements: 1. Any rectangular triangle has a right angle. 2. In…

A:

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

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Q: How many functions f: {1,2,3,4} {1,2,3,4} are there satisfying: a. f(1) = 1 or f(2)= 2 (or both)? b.…

A: Solution :-

Q: lim x → +∞ [5x+2]] X

A: Solution :-

Q: uppose you 17 one-dollar bills to give out as prizes to your top o discrete math students. How many…

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Q: 1.) Let G₁ = £1₁ 1₁ i -i) be group of 4 Complex numbers under mutiplication. a) is £1, i} a subgroup…

A: Given group under multiplicationG = 1, -1,  i , -i  A subset H of G will be subgroup of G if H…

Q: You are given and Find the value of S₁=1+q+q²+...+ 1+ ( 9 + ¹) + (ª +1 = "Y

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Q: Let H be a hermitian matrix, i.e. H = H*. Now U := eiH is a unitary matrix. Let H = († 8). aER, beC…

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Q: Let V, W be two matrices of the same order. If all entries of V are nonzero, then we say that X is…

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Q: 2. g(t)= t², -8 + 3t, ((t-6)² + 2 cos (²-²). 0 2

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Q: find an approximate value of y 1

A: Given,        dydx=xy12 and x=1, y=1

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: Find the probability that. a Family of y children w be at least (1) boy prob

A: Total children in family = 4 the probability of getting 1 boy child is calculated as follows Pat…

Q: For a function f(x), it is known that ƒ(2) = −8. Selected values of the first derivative of f(x) are…

A: Euler's formula, f(x+h)=f(x)+hf'(x) given, f(2)=-8 Taking step h=-1      x       0      1…

Q: HW-4 Find f'(4.8) and f"(2.2) for the following data in the below table. @ Find I fixidx X 0 1 2 3 4…

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Q: Consider the equation z²+z(- (a) Sketch the la ug of roote e

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Q: Please explain Modular Exponentiation Find the modular of the following: 5^4358 mod 10

A: This is an easy question and is a consequence of the property of the number 5. The detailed solution…

Q: Consider the function. + 10 f(x) = Determine the intervals on which f is increasing, decreasing,…

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Q: c) Factorise the following expression 25a³b²+10a²b³-15ab

A: We need to factorize the expression 25a3b2+10a2b3-15ab