Q1) Write True or False for the following: 1. To optimize the profit for a certain company we maximize the objective function.

Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

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Q: 4.F.1 Suppose the eigenvalues of a 3 × 3 matrix A are 2, 3/5, and 2/5 with corresponding eigenvec-…

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining parts.

Q: Q Final the complement f the gwaphs in fig-1-34 figti3t

A: We have to find the complement of given graph.

Q: e following equation: + (xe"Y + 2y)dy =

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Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-25x<-1 -1 if -1Sx<0…

A: We want to find the value of function at given points.

Q: The half Tunctión of the Fast Fourier transform algorithm is given by: F(u) = [F.n (1) - Fta (1)]…

A: Solution

Q: A fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

A: Given a fair die rolled three times.

Q: Find the root of cos(x)-3x+1 using the Bisection Method. Use radians mode for solving. Also, show…

A: We have to find the root of cosx-3x+1=0 using the Bisection Method.

Q: Hawad Find the areas fak the fallowing regions: Area enclased by the diagram V= sin 3

A: Sol

Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

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Q: Given the graph in Figure 1 below, answer the following question. d Figure 1 a) Find the number of…

A: We have to find the number of vertices, edges and adjacency matrix of graph.

Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

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Q: 1. Use Green's theorem in order to compute the line integral $ (3cos + 6y?) dx + (sin(5") + 16x³) dy…

A: Here the given integral is                               ∮C3cosx+6y2dx + sin5y+16x3dy

Q: For the given matrices, verify directly that (RS)* = S*R* and (EP)* = P*E* %3D 1 2 3 i R = S = 3i 4…

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Q: Question 3: Obtain the solution set of the set of linear equations given below by using the Gaussian…

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Q: e. Let X = R? – (0,0) and ~ be defined over X by setting X ~y + y = tx for some non-zero t € R. Let…

A: Sol

Q: 3.) What is the Relative Absolute Error for y at x = 1.5 if the Euler's Method is applied with step…

A: Sol

Q: Choices: > m2 4 155 > 125 > m2 1, m2 2, m2 3 > 53 Use the figure to answer number 1 to 5. Use this…

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Q: Let X be the graph of f(x) given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: Count the number of graphs that have the degree sequence 2,2, 2, 2, 2,1,1.

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Q: Find laplace transform of x" + 3x' + 2x = t(e^(-t)) Where x'(0) = 0 , x(0) = 1

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Q: )4 in the Taylor -g x - log x2 abor

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: Sol

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: Introduction: Arithmetic sequence and geometric sequence are two important sequences in mathematics.…

Q: . Let X be the graph of f(x) = x2/3 given below %3D that is, X is the subset of R x R satisfying the…

A: Sol

Q: minimize f1(x) = 5x1 – x2, f2(x) = x1 + 4.x2]| subject to -51+ 2x2 3 Xi + 2x2 > 4 X1, X2 > 0…

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Q: Ans: 2x(x- a)y' = y(3x- 2a) 7. The cubics cy² = x² (x – a) with a held fixed.

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Q: 1. Let f : Z6 → Z6 be such that f() = x2 + 3. %3D (a) Is f a well defined function? (b) Is f…

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Q: ax+b 2. For the general equation of a rational function in the form f (x) state the x-intercept, y…

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Q: A spherical tank of radius 4m is filled with water to a height of 1.2 m. The water is transferred to…

A: Sol

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: Evaluate the following integrals using Cauchy Residue Theory. All closed contours are traversed CCw.…

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Q: x3 – 2x2 – 5 = 0, [1,4]

A: Sol

Q: Find the following inverse laplace For simplification, you can use x = 22

A: Given that,Fs=xssx-s-xThe given value of x is 2Substituting x=2 in the given function, we…

Q: 4. Find the absolute extrema of the function f(r, y) = ry -I-3y on the triangular region with…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y® +…

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Simplify the…

Q: 2. Use the secant method to estimate the root of f(x) = a° + a³ + 3. %3D By starting with the…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. r = 8y +3, 0<…

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Q: (BACKWARD INDUCTION) Two players have to share 50 coins (of equal value). Players' payoffs are the…

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Q: nswer the following qu

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Q: 23. Find the coordinate vector [r]B of x relative to the given basis B = {b1, ...,bn}. 8 bị by 4 b3…

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Q: A B 9. Which figure comes next in the series? A B C D of

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Q: b) Euler's method is used to solve a first-order differential equation dy dx from x = 0 to x = 4

A: We need to write Euler's method to solve the differential equation: dydx=f(y,x), from x=0 to x=4.

Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

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Q: Problem 5. Let N = {(x, y) E R² | 0 < y < 1- x²}, and define the divergence form operator Lu : =…

A: Solution

Q: If the sum of eigenvalues of matrix 9. 7 16 A -9 k2 3 is 29, then the possible - 16 9 values of k…

A: We want to find the value of k

Q: Find L-1{F(s)} for each given F(8). F(s) s² – 4s + 13 S- 4 F(s) %3D (s – 2)²(s+3)

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Q: then2 Evaluate khe falowingcartesian integralo by changing them inte equivalent Pelar integrals: 3-…

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Q: Construct a 3 x 4 augmented matrix, in reduced row echelon form, such that the solution set of the…

A: Since we have to construct 3×4 augmented matrix so we have 3 equations in 3 variables in a system of…

Q: use Euler me thud to solve y's 3x²+y h=0.25

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