1. Are the following matrices diagonalisable? Explain your answer. 2 0 50 1] a) A =-2 3 -1 -2 0 3 c) C = 2 0 03-1 0 1 0 3 b) B = 2 -2 -2 0 1 0 0 -1 04

Q: Part I. Cartesian Product and Relation Give the Relation: 1. Find a relation R such that >l if A =…

A: 1) The Relation R such that x+y2>1 is  R={(0,3),(1,2),(1,3),(2,1),(2,2),(2,3)} 2) the Relation R…

Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

A: We have to solve the given differential equation.

Q: c. Given the matrices 1 7 3 A = 0 5 2, B = 1 -5 3 0 1) -3 -4 -7 -1) 4 and C = -8 -2 -1 13 -11) -15…

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A: Study the table and look for the bag that contains exactly 1 Y.

Q: Find the laplace of each f(t) 5. 2t'e 4t

A: Solution

Q: 1 A = -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP…

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Q: Approximate the roots of the polynomial f(x) = X³ - 7X + 6 using False-position method.

A: We will find Approximate the roots of polynomial f(x) = x3-7x+6 using False-position method. steps…

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A: Given the slope field of an autonomous differential equation. The equation will of the type dydt=fy.…

Q: How long is this side? 1.7 cm 71° 21 2.2 cm 1.7 cm 4.3 cm 53° 37 2.1 cm 3.2 cm 2.9 сm 42 3.8 cm 3.6…

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Q: 31 3t and y =: 1+1' Convert the parametric equations to parametric form, sketch the graph and 1+1'…

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+y)dy=0, we let the substitution dw =- (Note: We use…

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Q: Mav was comparing the price of ground beef at two stores. The equation y = 4.81a represents the…

A: Given,  The total cost of ground beef at super grocery B is represented by the equation, y= 4.81x

Q: rative of the f he unit vecto p, then Ja + B|

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Q: Find the area of the shaded region. r = Vcos 20 r = 6 cos 0 NOTE: Enter the exact answer. A =

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Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-'(1 – e!-") y = x-2(1 + e'+*) © x=y-'(1 + e'-1)…

A: Given differential equation is xy'+xy = 1-y, y(1) = 0

Q: 3t

A: We have to find the Laplace transform.

Q: Using Bernoulli's equation

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Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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Q: et A 2 and U = . Then A2017U is equal to

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Q: Solve the given system of linear equations using the Elimination Method. 4.)     2x1 + 7x2 + 15x3 =…

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Q: Suppose A and B are NONZERO matrices such that AB = [0]. Then there is no other matrix C such that…

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Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: Advanced Math (No long explanation needed. Rate will be given) TRUE OR FALSE? A. Suppose A and B…

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Q: Suppose that a particle following the path c(t) = (t,t – 5t,0) flies off on a tangent at to = 3.…

A: Given:c(t) = (t2 , t3-5t , 0)

Q: 6s 3 Find the Inverse Laplace Transform of g2+ 25 2+ 25 A 6sin5t +-cos5t 6cos5t + sin St 3 -sin St…

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Q: 4. Draw the logic diagram corresponding to the following Boolean Expression. a) (P+ R)• (Q ® R))+ (P…

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Q: a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

A: This is a problem of complex analysis.

Q: Find the area, A, of the region enclosed by the cardioid r = 6 + 6 cos 0. NOTE: Enter the exact…

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Q: Enter the matrix P: Enter the matrix D:

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Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

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Q: Using Bisection method find the solution of h (x): = xcos2x +1 = (x - 2)2. Use as initial values and…

A: given method hx=xcos2x+1=x-22 use as initial values π2 and 5π6. stop iteration if the error is less…

Q: What is the result of applying the row operations –3R1 + R2 → R2 and -R1 + R3 → R3 to the matrix 2…

A: Row operations are calculations we can do using the rows of a matrix in order to solve a system of…

Q: (21² cos0 sen 0 + rcos0) d0 +(4r + sen 0 2rcos20) dr = 0

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A: Given step by step explanation below

Q: Prove each of the following by mathematical induction. 1.3 + 2.4 + 3.5 + ..+ n (n + 2) = (n) (n+1)…

A: The Principal of Mathematical Induction states that if P(n) is defined for integers n, and a fixed…

Q: Assume P (AU B) = .73, P (A) = .51, and P (B) = .47. Find P (AN B (AnB)

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Q: Find the solution. dy 2y = 2r/y dx A y = x³(x+c) 3 B y = x(x+c) © y = x²(x+c) 2 Dy = x²(x-c) -2

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Q: max2 =2%+31 -51y Sito XitXz tXg =7 メ2-5Y2+X フe メoxe F (usighe Using M-Eechnifue

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Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

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Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X.

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Q: Which is a solution to the following system of equations? + 3z 2y + 22 1

A: Solution of the system