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Q: where yco,t) = y (5,t) = = 2Jx2 and y cx, o) y (X,o) = 10 sin 4T X

A: We solve the differential equation by the method of saperation of variable. In this method we consid...

Q: 1. Liz buys three apples, a dozen bananas, and one cantaloupe for $2.36. Bob buys a dozen apples and...

A: Note:- 1 dozen =12 piece Let the price of apple, banana and cantaloupe =$x, $y, $z per piece   

Q: [6 31 Use Gauss elimination method to find the inverse of A = %3D

A: In order to determine the inverse using the Gauss elimination method, augment the matrix with an ide...

Q: Qz/ Evaluate the complex integral: dz (z+ 1)(z – 2) where C is: a) The circle Iz] = 3 b) The circle ...

A: Note:- If z =(x+i y)  then z =x2+y2 Cauchy's Residue Theorem:- ∮Cfz dz =2πi sum of residue   Given i...

Q: e) Suppose that S is an equivalence relation on a set A = {1,2,3, 4, 5, 6, 7}. If 4 e [3] n [5], the...

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Q: Let pn be the Taylor polynomial of degree n for f(x) = log(1 – x) about a = 0. How large should n be...

A: Let pn be the Taylor polynomial of degree n for fx=log1−x about a=0. The Taylor polynomial is given ...

Q: Find the determinant: a) Using Pivotal Element Method only in all the steps b) Using Chio's Condensa...

A: Given:M = 07-7-5   661411-8-70-23   5-1341-63953   1

Q: Solve the truth value of the well-formed formula (WFF) below. If the answer is 0 chose FALSE, is the...

A: The logical symbol "⊃" is used to denote "IF..THEN". The logical symbol "∨" is used to denote "OR". ...

Q: How many 4 digit numbers can we make using the digits 2, 5, 7, and 9 without repetitions? O Combinat...

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Q: 2) From the figu (a) Pouring temp (b) Cooling rate (c) Liquidus tem (d) Solidus tempe (e) Super heat...

A: Given curve as,

Q: What is the general solution to the differential equation (2xy – y? sin y)dx – (x² + xy²cos y)dy = 0...

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A: According to the definition of indefinite integral ∫f(x)dx=F(x), where dFdx=f(x). In this problem, w...

Q: z2-7z+3 Using Cauchy's Integral Formula Evaluate f ,where c is the circle Iz| = 2. z+i

A: We have to evaluate the value of the integral ∫z2-7z+3z+ιdz over the circle z=2, using the Cauchy in...

Q: 12 If a, x and y are three non-zero and mutually non-parallel vectors, and th are given by b=x-(x-â)...

A: Introduction: The dot product between two non-zero vectors a^ and b^ are expressed as a^·b^=a^b^cosθ...

Q: 4. Let M be the two sheeted hyperboloid 2² = 1 + x² + y² (a) Using definition, show that M is a two ...

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Q: (Steepest descent and CG) Consider the following linear system, (6 )()-0 1 0 2 x2 ke the initial gue...

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Q: Q4 Let f : R → R be the function defined by 1 f(a) = 2" %3D a) Is f is one-to-one? If yes, then expl...

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Q: 4. ( , Give a case in which |(x, y) x||yll. 5. Let X e PQ. Show that if X (1-t)P+Q, where t> 1, then...

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Q: 10. Solve the initial value problem dy dy dt dt2 +8 -9y =0 y(1) = 1, y'(1) = 0.

A: 10 Given differential equation is d2ydx2+8dydx−9y=0 and y1=1, y'1=0. We have to find the solution of...

Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy...

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Q: Suppose that population of the world now is 6 billion and that its doubling period is 35 years. (a) ...

A: The exponential growth of a population can be modeled as Pt=P0ert Where Pt is the population size af...

Q: If we use an adequate substitution, the following nonlinear differential equation (-3x +y+7)y' = 1 w...

A: we have  given the non linear differential equation (-3x+y+7)y' =1 we have to transform the above di...

Q: The appropriate integrating factor for the following differential equation (2xy? +xy²)dx + 4x²ydy = ...

A: We have given differential equation is , 2xy2 + xy2dx + 4x2ydy = 0 Compare with, Mdx + Ndy = 0 Here ...

Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =...

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: If it is known that |A = 5, then the cardinality |P(A) × P(A)| is %3D Select one: 1024 None of them ...

A: The cardinality of a set is the number of element in that set. If the cardinality of a set is n, the...

Q: 2. Evaluate / Fx F - fîdo, Σ where F = (y – 2)i – (x+z)j+(x+y)k, E is the portion of z = 9-x2 – y? w...

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Q: 1 -13] is decomposed into two square matrices lower triangular and upper triangular, – 27 352 If mat...

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Q: QitEvaluate the fallowing integVals using Polar method :

A: We have to evaluate the value of the double integral ∫01∫01-x2 e-x2+y2 dxdy using the polar coordina...

Q: a) 1 3 2 0 1 3 0 0 1

A: Let us find the inverse of the given matrices in the next steps using row reduction.

Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

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Q: d. Consider the following convex optimization problem min fo(x) s.t. x EN where O C R" is a convex s...

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Q: 1. A coin is flipped seven times where each flip comes up either heads or tails. How many possible o...

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Q: S how that the line af intesection of the Planes and 5x-2y-Z=0 X+2y-22= 5 is Paralkel to thelime メ+3...

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Q: 2 7 -3 -구 Find lAB)"

A: We want to find (AB)-1

Q: A farmer can buy four types of plant food. Each barrel of mix A contains 25 pounds of phosphoric aci...

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Q: Ashley spends $15 each time she travels the toll roads. She started the month with $225 in her toll ...

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Q: Rewrite 37–39 by separating off the final term. k+1 m+1 n+1 37. Σί() 38. Σ 39. т(т + 1) k-1

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Q: Q5) Choose the correct answer for the followings: i) S, x dy ,c is y = x from point (0,0)to point (1...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: a) State the number of edges in the complete graph Kg, where each pair of distinct vertices is adjac...

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Q: b) A function f is analytic on the domain {|z| > 2}. It also satisfies |f(z)\ < 1/\z|. Let C be the ...

A: We are given the following. A function f is analytic on the domain |z|&gt;2. It also satisfies f(z)&...

Q: q22 When monitoring the spread of disease, the population can be divided into three groups; the port...

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Q: To help pay for culinary school, Rafael borrowed money from an online lending company. He took out a...

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Q: 1. A relation R is defined on Z* × Z* by (m,n)R(p, q) → m+q = n + p . (a). Prove that R is an equiva...

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Q: 1. ( Prove that for any x, y e R, we have ||| - ||y|| < |× -y|l. 2. Let u e R. Prove that 0 u 0, whe...

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Q: Pallowing Section 6.1.4, show how to solve the following IBVP with inhomo- geneous Neumann condition...

A: Solution 

Q: Let (fn) be a sequence of real valued functions defined by fn(x) = cos(x) n By definition, show that...

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Q: Solve the given nonhomogeneous ODE (Show the details of your work.) Sketch or graph the solution. (x...

A: Given differential equation is x2D2−xD−4I=1x2.....1. We have to find the solution of the given nonho...

Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: May you help me please :)

A: What can be said about the addition of third choice for school presidential election .

Q: If the line x = 1- y, with 0 < y<1 is revolved about the y-axis. Find the generated lateral surface ...

A: Given  the line x = 1-y with 0≤y≤1 is resolving about the y-axis we have to find the generated later...

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.