Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

Q: 3 Factorise completely the expression 2x³-11x²-20x-7.

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Q: 3. Find the volume of the solid generated when the region enclosed by y = √2x+8, y = x, x = 0 is…

A: To find the volume of solid generated when the region enclosed by y=2x+8, y=x, x=0 is revolved about…

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Q: Find the Z-transform of the following sequence/function (with ROC). Show complete solution.

A: Z-transformation is a discrete transformation of signal. Through the Z-transformation, one can…

Q: oblem 5. Let P, be the vector space of all polynomials of degree 2 or less, and let ♬ be the…

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Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

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Q: PAPER 1 5. FACTORS OF J2014 1 (i) Find, in terms of p, the remainder when x³+px²+p'x+21 is divided…

A: Please find attachment for the details solution

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

A: In mathematics, differentiation is the process of determining the derivative, or rate of change, of…

Q: 1) At what simple interest rate per annum will P35,500 accumulate to P61,000.00 in 6 years and 9…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Consider the vectors x¹)(t) = ( 6 ) and x 1 x(²)(t) = ( ² ). 4t (c) What conclusion can be drawn…

A: Let us start solving the problem step by step

Q: Find the value of the magnitude of the vector v. (a) v = -3i+ 10j (b) v=4i-6j (c) - 2i-3j.

A: if a vector v=ai+bj then its magnitude v=a2+b2

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: ulsu (un (a) u

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Q: 11) The solid is generated by rotating R about the x-axis. 12) The solid is generated by rotating R…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: In daily life, recurrence relation has wide application. Suppose an initial condition is given.…

Q: 3 -6 -4 -3 4 Let y = V₁ = 1 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁…

A: The given vectors are 4 tuple from the vector space ℝ4. We have to find the distance d from the…

Q: 8. Let f(x) = √25 - x² and g(x) = sinx. a) Graph f(x) and describe its shape. Is this function even,…

A: Given functions are f(x)=25-x2, g(x)=sin(x) Solution a: Since f(x)=25-x2 and f(-x)=25-(-x)2=25-x2 So…

Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: By the seperation of variable we consider the unknown is the product of two functions one is the…

Q: Solve the differential equation xy' =y+√√x² + y²

A: To find the solution of the given differential equation :-

Q: If M is a proper subgroup of G we call it maximal if M≤ X ≤ G implies X = M or X = G. The Frattini…

A: Solution:If G has no maximal subgroups, I(G) is taken to be G.⇒I(G) characterizes G in this…

Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

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Q: Find the length of the curve X= -y², 1≤ y ≤9

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Q: Find the Z-transform of the following sequence/function (with ROC). Show complete solution. 1. x(n)=…

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Q: Create a proof for the following argument 1. P v (Q⊃R)   2. (S v L) ⊃(Q * X)   3. Q ⊃~P   4. S…

A: We prove the given argument by using rules of inference.

Q: Evaluate the z transform of x(n)= a(n) u(n)

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Q: (a) Find the chromatic number for the graphs A, B, C, D, G, and H: 6 9 A B (b) Classify all graphs…

A: Let GV,E be a graph with vertex set V and edge set E. Assign exactly one color to each vertex of the…

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Q: Prove that if h> -1 then 1 +nh ≤ (1 + h)” for all non negative integers n

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Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

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Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: Improper integral and it's convergence

Q: Activity 1: You are testing an electrical device which can be modelled by the following equations:…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: For a given set of populations and house sizes, different methods of apportionment may lead to…

A: Answer is true.

Q: If f(X) is a convex function, then ef(x) is also convex function. O True

A: We have to check whether if f(x) is a convex function then ef(x) also convex. As per policy…

Q: 1- "Dermatology". Add the proper suffix to recognize the more involving person in this field. 2-…

A: As per the company rule, we are supposed to solve the first three sub-parts of a problem. Therefore…

Q: Prove that A(n) log(p), if n = pk, where p is a prime, and k ≥ 1; = otherwise. 1(n) = Σμ(n/d)log(d)…

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Q: 3. Use the Laplace transform to solve the given differential equation. 2x - 4y = 4, - y' + 2x + 2y =…

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Q: In Problems 1-5, let R be the region bounded by y =√x, y = 1, and x = 4. Each problem w solid…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: (b) Find the following integrals: i. f(4x³+ sin x) dx. ii. ₁²(x²+)dx.

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Q: The standard form for (F.O.D.E) y = 3y' - 4x + 5 is 4 5 y'-y = 3x 3 Option 1 4 5 y' - 6y=3x-3 Option…

A: Firstly we make the coefficient of y' is 1 and convert into the standard form  y′+p(x)y=q(x)

Q: Suppose T : Rn → Rn is a linear transformation. Prove that T is an isometry if and only if T(v) ·…

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Q: L- s-1 (s²+9) Find laplace inverse

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