. A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A, Band C finish it together and separately?

Q: Problem 1. Find a* that maximizes the following functions: i) f(x) = x (2-x) where r ER (i.e., no co...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: onsider the initial value problem f + 2y = 12t, y(0) = 6. a. Take the Laplace transform of both side...

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Q: Given that nothing else is borrowed in the near future, the length a government to completely elimin...

A: Given the function: i(y)=y-y2 For the present stock there three variables depending upon the time pe...

Q: Which of the following functions map onto their indicated codomains? (a) f :R → R, f(x) = }r +6 %3D ...

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Q: Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.

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Q: An object moves with a constant acceleration of a=5 m/s? without other forces intervening. One secon...

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Q: Let S be the part of the plane 3r+ ly +z = 3 which lies in the first octant, oriented upward. Use th...

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Q: (1) What number must replace the question mark? 4 4 7 6. ? 9 1 2

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Q: Problem Set B x +x-5 (1) Find lim- 1-2x-x

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Q: 9 23. -5 3

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Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise Z = 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15     with x1, x2 ...

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

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Q: C. Provide the steps and reasons to establish the following logical equivalence: 1) [-pv¬g)→(p nqar)...

A: As per our guidelines we are supposed to answer only 1st question. Kindly repost other parts in the ...

Q: 6. Find the general solution of X Ury -Y Uyy = Uy %3D by using the change of variables: v = x, w = x...

A: Given: The partial differential equation, xuxy-yuyy=uy   To find: The general solution of the given ...

Q: Excrcises: Find a solution tr the fallowing an- %3D a = 2 a-」 +メ n-1 Van-. 4 (2) a, = 1, 9,= 2, an れ...

A: We have to find the nth term of sequence.

Q: uppose A is the matrix for T: R° → R° relative to the standard basis. Find the diagonal matrix A' fo...

A: Please check the detailed answer in next step. You shall need concept of matrix  representation with...

Q: Given a natural number c ∈ N. The relation Rc is defined as follows: ∀ a, b ∈ N :  (a, b) ∈ Rc ⇔ (∃...

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Q: Use Simpson's 3/8 rule 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 Y(x 3.029 2.849 2.797 2.8...

A: Numerical integration, Simpson's 3/8 rule

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2...

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Q: The Pl of differential equation (D²+1)y = sin 2x is %3D a) sin 2x b) sin x c) cos 2x d) sin 2x c) d)...

A: find PI (particular integral) by using rule  given (D^2 +1)y = sin2x

Q: 4. Divide 48.48 by 12 B. Express 20110 in words A. 4.01 4.04 C. 4.4 D. E. 404 4.44 5. A. Two thousan...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 7. What is a criteria to decide whether a matrix is invertible in modulo 26 algebra? Perhaps you can...

A:   Solution:Criteria to decide whether a matrix is invertible in modulo 26 : The determinant of the m...

Q: 2. Find the dihedral angle formed by any two adjacent faces, the total area and the volume of a regu...

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Q: solve the following equations with: a-inverse methode.

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Solve: 1 (i) x +1 1 1 1 X - 3 x - 1 x - 2 (ii) X - 1 x+ 4 x+2 x +3 - 4 x - 2 x - 3

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Q: Salve the Follasing improper integralis 2) dx

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Q: Given A = {2, 3,4, 5}, B = {4, 5, 6, 7} Find AOB %3D Also represent the figure?

A: Given A={2,3,4,5} and B={4,5,6,7}. We find A∩B and also represent the figure. 

Q: 2. Let V = R" and let {e1,...,en} be the standard basis for V. a) Give an example of a subspace of V...

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Q: If |<1, determine the maximum modulus f (2) :+1 (a) f(=)=='-2z+3, (b) f(=)==+=-1, (c) f(=)= (d) cos ...

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Q: 1 1 -1 -1 -2 -1 | If A = -3 4 B = 6 12 6. 3 -2 5 10 5 Show that AB is a null matrix and BA is not a ...

A: Solution: Given data is:

Q: 6. Taking the domain of discourse to be the integers, decide whether each of the following predicate...

A: Given: Predicates, a) ∀x∃yx+y=2 b) ∀x∀y∃zx-y=z2 c) ∀x∃y∃zx-y=z2 d) ∀x∃yx=y+3∧2x=y-6 To determine: To...

Q: 3. A vector in a Cartesian coordinate system is represented by a column matrix: 1 13. (a) Rotate the...

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

Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A).C, whe...

A: Cross product of the vectors

Q: Perform the Laplace transform of the F(s) column then substitute the value t=O and select the approp...

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Q: Solve the following linear program using graphical method .(If you got a non-integer values of x and...

A: The given problem is to solve the given linear programming problem with given constraints using grap...

Q: 1. Consider the following 3 x 3 matrices, [4 1 31 2 1 41 A = 0 -2 1 B = -1 3 13 3 2 5. (a) Calculate...

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Q: dx 4-t x(0) = 1, solve for x(0.5) when h = 0.05 %3D dt t+x

A: As per the question we have to solve the following first order differential equation : dy/dx = (4-x)...

Q: If ||<1, determine the maximum modulus f(=) =+1 (a) f(=)==-2z+3, (b) f(=)==+=-1, (c) f(=)= 2z-1' (d)...

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Q: na approxim Uf the polync p (z) = 25 + 24 – 5 z3 – 4 and enter them in the box below. Your approxima...

A: Since there is the power of 5 and coefficient is positive,  p(z)=z5+z4-5z3-4 There will be two real,...

Q: Proposition: Let E be a pre- Hilbert Space and Can), n) be Sequences in E. If lim Xa=x and Lim In -y...

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Q: a) Find the center of mass of the unit square if p(x, t) = 3 – 2P,P2 P1 r = Position vector m 2 b) W...

A: To find: The value of density of the unit square if its center of mass is at the point 0.5,0.5.  

Q: 1. Use propositional logic (direct or indirect proof) to prove the following theorems: a. - (p v ¬q)...

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Q: Jillian has just turned 16 years old and has her mind set on buying a new car by the time she is 20 ...

A: To calculate the future value and the interest earned over the investment.

Q: Solve the initial value problem y" + 2y' + 3y = H(t – 4) y(0) = y'(0) = 0

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Q: #1. Sets A and B are defined as follows: A = {n eZ|n= 8r – 3 for some integer r} and B = {m e Z |m =...

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Q: Use Newton's method to find solutions for the equation in the given intervals. Find the solutions to...

A: Newton Raphsons method

Q: 6. Let g(x) = , Find the domain of g(x). x-4 2x²-3x+7 7. Let f(x) =' 8. Suppose f(x) = Vx – 3 and g(...

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Q: Find the solution of the following differential equation. (dy)/(dx) + y = 2xy^2 e^x

A: The given problem is to solve the given differential equation, the given differential equation is of...

Q: Solving the Logarithmic Equation: In(x + 2) + In3 = 2

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Q: H-w find the vector whosp Leng th is 10 and Sum of it's components is uinimum?

A: Here first we form a function f that should be minimised and a condition g=0 which is followed by th...