The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a) 0 b) 1 c) 2 d) 3

Q: 5. Evaluate the following integrals: (a) *³ ** cos(x) dx dy 4y -x²-y² (b) √ √ ² dy dx (Hint: Use…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Š The minimum value of n required to approximate dx by composite Simpson's Rule with an error less…

A: Given integral is ∫02e−2xdx. We have to find the minimum value of n required to approximate…

Q: 5. Solve y" - 3y + 2y = 2et, y(0) = 2, y'(0) = -1 a. et + 4et-e²t b. et + 4e²e²t - et + 4et-e²t d.…

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: 3. y"-y'-6y=t²e³t-4t², y(0) = 0, y' (0) = -1

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Q: (A^¬BA¬C) logically follows from A (1) -C (2) -Av-B (3)

A: This is a problem of Logic.

Q: A manufacturer is planning to sell a total of 300 machines to both foreign and domestic firms. The…

A: Solution : a)  Total Revenue from domestic market, =900-6x+2y5x Total Revenue from foreign market,…

Q: What is the minimum value of f(x) = (x+aXx+b) where x>-c, a>c, b>c? > (A) √a-c+√b-c (C)…

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Q: 24. In order for a linear programming problem to have a unique solution, the solution must exist OA)…

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Q: C Show that dim 9 (√2, 3²/3) = Q(

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Q: Consider the following function x>0 h(x) = x≤0 (a) Sketch the function and mark its salient…

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Q: Discount ₱15,800 for 11 months at 14.25%simple interest.

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Q: 13. Find the solution u(x, t) of the inhomogeneous wave equation UttUxx +1 on Rx (0,00) such that…

A: Solution

Q: 7. The lower quartile of 50 students in their final test in Mathematics 10 is 20. Which of the…

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Q: Given the following codes; Message Source Encoding 1 000 MISS 011 LOVE 100 TONIGHT 111 YOU 101 SEE…

A: Please find attachment for the details solution

Q: Convert each pair of rectangular coordinates to polar coordinates where r> 0 and 0 ≤ 0 < 2π.…

A: To convert each pair of rectangular coordinates to polar coordinates where r&gt;0.

Q: 12. The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: s(t) = 2sint + 5cos2t

Q: Use the equation editor to write the equation for the function described. Type of function:…

A: This is a problem of linear transformation.

Q: Let w=f(u) + g (v) s where u = x+iy and V-X-iy, show that w Satisfies the Laplace ear. Wxx + Wyy=0…

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Q: A system of equations is written in matrix form below: Q 3000 1000 R 12000 10000 b 2000 1000 3000…

A: We can solve this using gauss Jordan elimination

Q: Let (G, 0) be a group and x E G. Suppose H is a subgroup of G that contains x. Which of the…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

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Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

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Q: v" - 4v" +5v' - 2y = 7t-5. v(0) = 0. v'(0) = 0. v"(0) = -2

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Q: 8. Given av av 25202v ат +S as² as find a change of variable of S to x(S) so that this equation has…

A: Solution: Given ∂V∂τ=2S2∂2V∂S2+S∂V∂S-V given condition is a change of variable of S to x(S), So our…

Q: F[x₁,...,n] is an integral domain.

A: Solution:-

Q: The two vectors s= (3,2,-1) and t = (-2, 1,4) define a plane. (a) Determine the unit vector normal…

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Q: Question 2 Difference equations, Laplace transforms and the Calculus of Variations. a) Suppose we…

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Q: In right triangle ABC below, A and B are acute angles, a and b are the legs, and c is the…

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Q: Use the matrix 1 0 11 E -1 1 0 0 1 2 to obtain the Hill cipher for the plaintext message "HELP ME".

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 400…

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Q: Let (G, 0) be a group and x € G. Suppose H is a subgroup of G that contains x. Which of the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find the final value for the z³ +8 3 F(z) = 23-22

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Q: 4. Sketch the graph of a function that satisfies ALL of the following conditions: ➡D: {X ER | x #4}…

A: Solution :-

Q: Find the Laplace transform of the following: 1. f(t) = 5t²u,(t) + 3(t – 4)³u8(t) — 9 sin ( - ) u₁(t)…

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Q: Find a Maclaurin series for f(x) = x² e-x giving the first four nonzero terms and the general term.

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Q: Find the solution: 4. y""+y" + 2y' = 3 y(0) = 1 y'(0) = 1 y″(0) = 1

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Q: owing ODE is exact and solve for x(t). dx - - xtan(x) + sec(t) =0 x( dt Where a = (1+Q) with Q being…

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Q: 22√9-12/9 6√x+18√√x+7√x 8a√17+11a√17

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Q: Find the first derivative (i.e., general solution) then solve for the particular solution using 2nd…

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Q: As machines are used over long periods of time, the output product can get off target. Below is the…

A: Given data x y 30 1.10 33 1.21 34 1.25 35 1.23 39 1.30 44 1.40 45 1.42 Formula…

Q: Let N and N' normed linear speces and D a subspace of N. Then a linear transformation T:D-N' is…

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Q: Consider the function: f(x,y) = 5xy - 7x² - y² + 3y, (a) Given that x = 6±0.6 and y=9±0.7, calculate…

A: As per the question we are given the following bivariate function : f(x,y) = 5xy - 7x2 - y2 + 3y And…

Q: Consider (a) Find a corresponding cylindrical coordinates. (b) Find a corresponding spherical…

A: The cartesian coordinates (x, y, z) and the cylindrical coordinates r,θ,z are related as…

Q: Solve the problem Utt = 36uTz u(0, t) = u(1, t) = 0 u(x,0) = 4 sin(2x), PDE: BC: IC: u(x, t) = =…

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Q: 1. Determine the Fourier Series of the function shown: 3 0<x< 1 6 1<x<2 f(x) = 3 2<x<3 Co 0 3<x<6

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Q: 4. There are 53 different time periods during each class at a university can be scheduled. How many…

A: There are 53 different time periods during each class at a university can be scheduled. We need to…

Q: The value of the limit lim a) 0 b) 1 c) d) ∞ 1 X x-0 sin x sin x 6 is

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Q: create 2 sample word problems of basic concepts of limits  with solutions

A: The limit of a function at a point is the value to which the function would approach to as the value…