Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

Q: 7.2 m 5m 4 m 6 m 3 m

A: We know are of triangle A=(1/2)(base)(height)

Q: min 4x1 + 5хз subject to 2x1 + x2 – 5x3 -3x1 = 1 + 4x3 + x4 = : 2 X; > 0, i = 1, 2, 3, 4. %3D

A: To write down the dual problem and find an optimal solution of the following problem.

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch...

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Q: х<1 a) f(x) = x-1' %3D a=1 3 — 2х + 5, х25

A: This is a problem of real number topology, real analysis, application of differentiation.

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: The equation y² = cx is the general solution of: y' = 2x y': %3D у 2y A y' = 2 2y y' = 2x O D B.

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Q: Consider the region bounded by y = x + 2 , y = x2 in the first quadrant Write an integral that will...

A: 1st we will draw the region and then find limits for for x and y . According to question asked will ...

Q: dx What is the particular solution to the differential equation + (v² +) dy = 0 and (1–xy)? xy)? y =...

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Q: The region in the graph shown to the right is to be revolved about the x-axis to generate a solid. T...

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Q: .Find the solution of the given initial value problem using MVP: 4y(2) – 8y(1) – 5y = x3e2x – 8x y(0...

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Q: Show that Foranyeigen value dofthenonsingu lar matrix A with any natural norm Then

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Q: I. Represent the following equations in R by a vector-valued/parametric equations: 4. 4r - 32y? + 4r...

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Q: Exercise 1. Let R = {(x, y) | x, y E Z and x + y = 0, } be a relation on Z. Prove or disprove if R i...

A: Let S be a non-empty set and R be a binary relation on S. (a) The relation R is said to be reflexive...

Q: Apply Newton's method to the equation f(x) = x² –2 = 0 to estimate the root a* = /2. Starting with a...

A: It is given that the function fx=x2-2. We have to find the approximation of the root x0=2 using the ...

Q: min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for ...

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Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: Given:   Total miles 960 $0.55/mile  1st 100 miles $0.35/mile  100 - 400 miles $0.25/mile  400 - 800...

Q: Nesto hypermarket sells three brands (A, B, and C) of laptop computers. The monthly sales of the thr...

A: Given: The monthly sales of the three brands are: Brand A = 15 units; Brand B = 9 units and Brand C ...

Q: Convert V21 + i/7 into polar form 8. 47 Convert 2 +i sin 3 to rectangular form.

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Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

A: Pappus theorem for the volume of revolution: It states that the volume of a solid of revolution obta...

Q: Evaluate 1 dA x² + y² +1 where R is region in the first quadrant bounded by y = 0, y = x and x² + y²...

A: We have to evaluate ∬1x2+y2+1dA The region R is in the first quadrant bounded by y=0, y=x and x2+y2=...

Q: 2. Show that the set of all diagonal matrices of order 2 x 2 is a subspace of M2x2. That [ ] a is, s...

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Q: P= 28x1 + 12x2 (A) Using slack variables, determine the initial system for the linear programming pr...

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Q: Solve. Express your answer using interval notation. Illustrate your solution on a number line. 5x +1...

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Q: Evaluate the integral 1 ;dz. aD(0,1) Z(2z² + 3)²(7ª + 2)3

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Q: a) Ac B and A CC→AC(BUC) b) AcB or AcC→Ac(BUC) c) AU(B-C)=(AUB)-(AUC)

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

Q: Find all the roots of z for the following equation (2 - j6) z2 + (3 + j5) z – 5 +j= 0 When a value i...

A: Using factorisation

Q: Show that G)-G)

A: ANSWER:      

Q: Which of the following is true? Check all that applies. о (2,7, —1) + (5, -3,4) 3D (2 + 5,7 - 3, —1+...

A: .

Q: 2. Determine if the following series are convergent or divergent. ( a) Σ n(ln1) 1 (Use the Integral ...

A: The given series converges.

Q: What could be an integrating factor in solving the differential equation 2(х — у)dx + (3x? — 2х — бх...

A: We have given differential equation ,  2x - ydx + 3x2 - 2x - 6xydy = 0  This is of the form ,  Mdx +...

Q: (a) Let N E R. Consider the matrices cos(2) - sin(2) ) sin(N) cos(2) cos(N) sin(N) sin(N) - cos(SN) ...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: Solving System of Linear Equation by substitution: Use substitution method to solve the following sy...

A: We have to find the value of x and y of the given system of equation using substitution method.

Q: Which of the following differential equation has a solution of y = e"(c, cos 2x + c, sin 2x) ?

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Q: 2. Find using Method of Undetermined Coefficient (MUC): y(3) – 2y(2) + y(1) = 4xe2x* – 3x2 – 4x + 2s...

A: Since you have posted all lengthy questions, we can solve first one for you. If you want other quest...

Q: Find the area of the region by double integration. he region enclosed by the cardioid r = 2(1 – cos ...

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Q: Find Domain and Range

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

Q: 19. A circular cylinder with horizontal bases has a right section area of 4TT in. It is inclined at ...

A: Given that a circular cylinder has a horizontal base with right section area of 4π sq inches. The he...

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A: A linear equation is represented as y=ax+b, where a, b are constants and x, y are variables.  Formul...

Q: roblem Find the QR-factorization of the matrix 1 2 2 1 1 A = 1 -2 -1 -1

A: Given : 102211101-2-1-1 The vectors are v1=121-2, v2=010-1, v3=211-1  

Q: {} trix A has a basis

A: System of Linear equations

Q: 3/2 Evaluate xp (1+x)'

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Q: Give and solve a real set of problem involving current real life situation during the pandemic, you ...

A: This is a problem of financial math.

Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

A: The solution of a differential equation is defined as the function that satisfies the differential e...

Q: Defermine the equation of the line in standard form passing through the point (-2, 1) and paralel to...

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Q: 5. Suppose A, B are countably infinite sets, meaning that there exists one-to-one corre- spondences ...

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Q: Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x # 1. (x – 1)6 '

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Q: Find the QR-factorization of the matrix 1 A = 1 1 -2 -1 -1 12

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x² + y² – 4y = 0 ...

A: We are given a solid and we need to find the centroid or center of mass. 

Q: Question 7 Sketch two functions F such that F = f. In one case let F0)=0. And in the other, let F0)=...

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