9. — 3x+y=1 4x+2y=0

Q: 23. Which of the following is/are true among the Graphs A, B, and C? A Only Graph B is a subgraph of…

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Q: Find the inverse of the following matrix |1 2 3 1 4 6 01 лон 15

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Q: (b) Find the largest eigen value and the eigen vector for the matrix A = x¹ (0) = (1 1) 1² il where

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Q: 13. Which of the following is a subgroup of (R+, *) where a*b = (ab)/2? A. (Q, *) B. (Z, *) C. (Q+,…

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Q: 4. A binary operation a*b = 1/(ab) defined on positive Rational Numbers (Q+) is A. just a groupoid…

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Q: 1. The vector v has a magnitude of 5 meters and a direction of 60°. Find the magnitude of its…

A: We have to find the vertical and horizontal component of given vector.

Q: 19. Determine the line integral of the differential form (x + 3y²)dx − (−6xy+z)dy from points…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y = x, y = 2x,…

A: Let us start solving the problem step by step

Q: Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and…

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Q: (3) Prove the Generalized Triangle Inequality: if a₁, az,..., an € R then [a₁ + a2 + 1 • + an| ≤…

A: The base case here is for n=2. For n=2, we have that a1+a2≤a1+a2 for all a1,a2∈R. This is clearly…

Q: 28-29: David deposited P2 500 for 2 years at 10% compounded annually and earned a compound interest…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: Q5) Solve the equation dx dt² 1 y (x,0)=sin лx ,t=0,0≤x≤1 8 and dy (x,0) =X at 11 with y (0,1)=y…

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Q: 5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone z…

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Q: 14.Consider the group (A, *) where * is defined by the table below * A B C D AB A D с BA B C DC D C…

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Q: Consider the following system of linear equations: xq-3x2+3x3 = 15 2x1-x2-9x3 = -10 -2x7+5x2-2x3 =…

A: Given system of linear equations ,                   x1-3x2+3x3 =15    2x1-x2-9x3 =-10-2x1+5x2-2x3 =…

Q: Obtain the power series solution of the differential equation y"-(1+r)y=0

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Q: (b) Find Fourier cosine transform of f(x)= 1 0<x< 1/ -1<x<

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Q: ADVANCED MATH (Round off the answers in the nearest ten thousands,  Evaluate J by means fo…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-aN and N is…

Q: Use Taylor series method to compute x(0.2) and given that d²x dx dx --4x = 0 ,x (0)=1, (0)=2 dt dt…

A: We can solve this using Taylor series of numerical method

Q: 15.Consider the group (A, *) where *is defined by the table below A B C D ABA D C BA в с D C D C A B…

A: Here we use cayley table to find this.

Q: Se¹0√1-e²0x dx 8.

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Q: Incidence Table 1 E3 E4 E5 E6E7 E8 A 1 -1 0 0 0 0 0 B 0 0 1 0 1 0 0 с 0 -1 0 0 1 0 0 0 D 0 0 1 -1 0…

A: Given, Incidence table from this we can draw graph. In table entry 1 means edge is incident out from…

Q: (b) Consider the differential equation ydr+r(lnx-lny - 1)dy = 0. (i) Show that the equation is a…

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Q: Let A = {a, b, c, d) and B = {x,y}. Use the set-roster notation to write each of the following sets.…

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Q: T is a linear operator and T: (a,b) → (2a,4b) a) Explain the geometric meaning of the eigenvalues.…

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Q: Direction: Complete the table below by finding the mean, median and mode of each set of data. Given…

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Q: Determine the constants a, p, yo and y'o so that Y(s) = Bs + C (s + D)² is the Laplace transform of…

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Q: 14. A constant force of 10 newtons is being applied at a constant angle of 45° on an object at the…

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Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 1 = [ exp(-x²)dx Note that this…

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Q: Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01 O…

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Q: 3. Which of the following operations is BOTH associative and commutative on C. a*b = 2- positive…

A: Solution

Q: Use the definition of set operations to prove that for any set A, A- A = Ø . A + A = Ø

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Q: uss-Jordan Elimina

A: Introduction: Gauss-Jordan Elimination is a method for finding the inverse of any invertible matrix…

Q: 2. As the universe has expanded, its temperature has been decreasing with time. The figure below is…

A: I'll start explaining the problem step by step By taking two functions from given 6 functions ....…

Q: II. Evaluate the following integrals 2x 2. S -dx 2 5+2x+x 2

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Q: What is the x-coordinate of the centroid of the plane region bounded by y = 2x + 1, x + y = 7, and x…

A: We have to find the x-coordinate of the centroid.

Q: Ury is 10. (i) Show the general solution of the PDE u(x, y) = F(x) + G(y) for arbitrary functions F,…

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Q: Classify the point (-37, 0) for f(x, y) = sin² x + y² by using Second derivative test if POSSIBLE.…

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Q: Integrate counterclockwise around C. (Show the det に+1 20. ‚ C: |z − 1| = 3 - ²-iz + 2

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: Evaluate J by means of trapezoidal rule using n = 20. Round off your answer to the nearest ten…

A: The final answer(rounded to ten thousand decimal places) is=0.7467

Q: Sugar dissolves in water at a rate proportional to the amount still undissolved. If there were 70 kg…

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Q: Q4) Solve the boundary value problem y - 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e¹ - e² h = 0.5 15

A: We have to Solve the boundary value problem y" - 3y' + 2y = 0 with y'(1) = 1,  у(3) =  2е4 - е2

Q: a) Find the area of ​​a rosette petal given by r = 3cos3θ b) Find the equation of the plane that…

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Q: Determine the causal signal x(n) if its z-transform is given by 1+22-2 1+z-2

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Q: 3. A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: 4. A binary operation a*b = 1/(ab) defined on positive Rational Numbers (Q+) is A. just a groupoid…

A: Use the relevant definitions of group theory.

Q: Find the solution of x = X₂ JED -6 where u(t) = 2 and x(0) = [1 -1]. 11 0 JUCE + u(t) (10)

A: The problem is solved using the concept of eigen value and eigen vector.

Q: Use the method of separation of variables to solve the boundary value problem ди ди + = 0, u(0, y) =…

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Q: 13. Which of the following is a subgroup of (R+, *) where a*b = (ab)/2? (Q, *) A. B. (Z, *) C. (Q+,…

A: Given that                    ℝ+, * is a group             where…