N1/2 (x) = -J_1/2(x) الخيار 4 J1/2(x) الخيار 3 J-1/2(x)

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for ...

Q: 4x? )(i) Use the substitution x= tan e to show that sin? 20 dx. %3D (1+x*)' 4x2 (ii) Hence find in s...

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Q: у (4х + у) da 2 (x² – y) dy - - 2x2 + x + 2 ln y = C ans.

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Q: 4. Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the r- y plane and is c...

A: Given- Consider a soup can of height 2 and radius 3, whose base (bottom) lies in the x-y plane and i...

Q: 37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of ...

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Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Siven a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distri...

A: Given mean, standard deviation and raw score to find the corresponding z-score.

Q: 4. Solve this fourth-order ODE by using the method of undetermined coefficients: y" – y" = x. (Sto

A: Introduction: The order of a differential equation depends on the highest order of differentiation. ...

Q: Evaluate (-5 – j6)īo in exponential form 10

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Q: Find the location and type of all critical points by first converting the ODE to a system and then l...

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Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

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Q: GIVEN: f(t) = 2t², 0 <t < n a) Graph the FOURIER SERIES of the periodic extension, fp(t)of the given...

A: We are given the function f(t)=2t2,   0≤t&lt;π. Here, the function is of period π. So, here p=π2. Th...

Q: (c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)...

A: By our guidelines we are supposed to solve only one question. For the solution of the first question...

Q: True or False 1.There are infinitely many values of the logarithm of a complex number z if you add ...

A: We have to tell whether the given statements are true or false.

Q: What is L! if 2 1 +. s s-4] 4r A. -2t +e В. -t+ 2e¬7! 3t +e" D. -2t+e" C. 47 3r E. 4t - 2e"

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Q: 1. y,=e"; y;=e*; L.I. 2. y, =xe"; y:=e"; L.I. 3. y, =senx + cos 2x; y;=3; L.D. 4. y, =x; y, =e; y,=x...

A: We have to check whether the given expression is linearly independent or not.

Q: 1. Determine the FOURIER COSINE SERIES of the following STEP FUNCTION: (-1,0 < x < 2 f(x) = } 0,2 < ...

A: We have to find the Fourier cosine series of the given function.

Q: Let I be the moment of inertia of the plate with density p = 1 bounded by y = ez, y = e, x = 0 about...

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Q: dy Find dx * of y* = sin(e) + xtan-1x. %3D

A: We have to find dydx

Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of li...

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Q: 1. Given the following complex numbers: z1 = 2 – j, z2 = -3+ j4, z3 = -5 – j6, z4 = 2 + j3 Determine...

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Q: Let H= Span(u, U2,u3 and K= Span{v,,v2,V3}, where each vector is defined below. Find bases for H, K,...

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Q: Consider the initial value problem y" – xy' + 2y = 0, y (0) = 3, y' (0) = 1 Find a power series solu...

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Q: eigenfunctions corres- lem %3D ions obtained from the

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Q: 5. Find the maximum and minimum values of f (X, Y)=e 12Y) and all points (x,7) at which they OCcur o...

A: We have to find the maximum and minimum value of f(x,y) in region D.

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: [2 + i 0 2i Lo 3il b. Value of y 北- 1 2i 6. a. Value of x C. Value of z

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Q: QI Find lim,o+ sin(x)tan(x) O 0.3

A: Introduction: When we determine the limit of a function whose base and exponents both contains a fun...

Q: (p) fi (b) (в)

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Q: cut from a 12-foot board? i divided 12/3.52%3 3 so there are 3 shelves that are complete. 2.Travel W...

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Q: 4- solve the following differential equations (a) x +3x +2x = g(t) = {0 (10st<10 0 t2 10 ,x(0) = 0,x...

A: Applications of Laplace transferom, solve the differential equation by using Laplace transferom

Q: I. True of False Choose True if the statement is correct, otherwise False. 1. Matrices are often rep...

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Q: 60 50 40 30 20 10 -10 10 20 30 Bradley is a lifeguard and spots a drowning child 30 meters along the...

A: Consider the two, opposite, limiting cases. Case A: Bradley swims directly toward the child. On the ...

Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: 2. (– 13 + 3i)31

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Q: The solution of the differential equation y" – xy' + y = 0 is y = ce¯* + cze2* y = 1- x? D This opti...

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: z?-7z+3 Q:5 Using Cauchy's Integral Formula Evaluate f z+i „where c is the circle Iz| = 2.

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Q: ( 6s + 1 Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Wri...

A: We want to find L-116s+1

Q: Find the values of the unknowns using any method applicable. 5а + 2b — 6с + 4d - е %3D 6 2а - b — с ...

A: Given system is  5a + 2b- 6c + 4d – e = 6 2a – b -c- d = -1 3b + 3c + d = 0 3a + 4b – 1.5c + 5d + e ...

Q: (d) Consider the following system of linear equations 2x, - 3x2 + x, - 3x, + 2x5 = 6 2x, - 3x2 + 5x3...

A: (i) Writing the given system in matrix form , A = 2-31-322-35-1100432-2333-9 , X = x1x2x3x4x5  and  ...

Q: One of your classmates makes the claim that the solution of an optimization problem modeled by a qua...

A: Given: Claim: The solution of an optimization problem modeled by a quadratic function occurs at the ...

Q: Show that polar form of equation of continuity for a two dimensional incompressible fluid is av (ru)...

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Q: [8] Write a negation for each of the following statements: Jim is inside and Jan is at the pool. Jim...

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Q: NOT TO SCALE 42 0(142 A, D, B and C lie on a circle, centre O. AP is a tangent to the circle at 4 an...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: For the linear operator L = D^2 −4D + 8, determine L(y) for y = e^(2t), y = e^(2t)sin(2t), and y = e...

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Q: Determine the definiteness of the quadratic form q(x) = xỉ + 2V6x,X2 + 2x3

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Q: Suppose that f(x, y) 2a + 4y on the domain D = {(x, y) | 1 < I< 2, x² < y < 4}. Then the double inte...

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Q: Question 1 Let W be the set of all vectors of the form (x, y, z) where y=x+z+ 3. Determine whether W...

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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.