LINEAR DIOPHANTINE EQUATIONS 2) Determine the integral solutions for which x and y are positive. 2x + 5y = 17 %3D

Q: 1 2. Given the matrix A = -2 (a) Use the power series definition of the matrix exponential to…

A: Given a 2×2 matrix A = 100-2 . We have to solve two sub-parts :                    (a) Use the power…

Q: t-a, - 10<1< 3 f (x) = 12+ at, 3<t< 10

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: 5. Consider the double integral rydA r=4+4 cos(0) = 25 Where R is the region of the XY plane, i1 -io…

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Q: 1. An instrument store gives a 10% discount to all students off the original cost of an instrument.…

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Q: Evaluate F. dS, S where F(x, y, z) = (3xz – Vy? + 2?, sin(x – 2), e" - z²) and S is the surface…

A: Since S is the boundary of closed region in space. So we apply the Gauss Divergence Theorem.

Q: Solve the system using either of the three direct methods 1. * - 2y + 2z 3 2x – 3y - z = -7 -x + 3y…

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Q: -1,0 -5 1,0 -3 Let f(x) = S2 for 0 <a <2, for 2 <x< 4. Compute the Fourier sine coefficients for…

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Q: 1. f(x) = e² and g(x) = -e + 2.7

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: (c) Let M be the surface with the equation r³ +y³ +z = 9 that is above the right triangular region…

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Q: * For the following data (2,2,4,6,8,10,12) 7 12 4 6.29 10 6. Мean equal Median equal Mode equal…

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: 1- Use Euler Method to find value of y at x = 1.5 for the D.E. y' = x/y with initial value y(o) =…

A: We first find the solution by Euler method using the step size h=0.3 of the given differential…

Q: Solve the system using either of the three direct methods 1. -2y +2z 3 2x – 3y – z = -7 -* + 3y – 3z…

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Q: 9. Solve the given (matrix) linear system: [1 0 X' = 1 5 L2 4 -3] 1 X %3D

A: Solution :-

Q: 12. Consider the solid Q bounded by the surface of equation z = x*+ y° and the plans z = 4, yv3 = x,…

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Q: Other Math Question 2. Construct all the (isomorphism types of ) r-regular graphs, for total nodes n…

A: Regular graph: A graph G is said to be regular graph if degree of each vertex is same.  If degree of…

Q: (a) Sketch a graph of a function f such that: f'>0 and f" 0 and f" > 0, for x > 3. (b) Does the…

A: For x&lt;3 , f'&gt;0 and f''&lt;0 therefore f(x) is increasing and cancave downward for x&lt;3…

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Q: 2.2 Let f be a function that admits continuous second partial derivatives, for which it is known…

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Q: particular very sm alue of gross regionald n a

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Q: fined the genral solution 8) (D + D,)u = o

A: Solution of the homogeneous partial differential.

Q: 1) Find all integral solutions of the linear Diophantine equations бх + 11у %3D 41

A: Here we use the euclidean algorithm to solve the Diophantine equation

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Q: Paola's Typing 3200 2400 1600 800 20 40 60 Number of Minutes Which statement about the relationship…

A: Answer is B. Number of words is a dependent quantity as it depends on number of minutes.

Q: Use a truth table to show the following equivalence: ~ (~p^q) ^ (p V q) = p

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Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: 2x3 3. Let f(x) = + 2x2 + ax + 3 Which of the following is an oblique asymptote x² + Bx + 1 of the…

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Q: 1. In how many ways can we distribute eight identical white balls into four distinct containers so…

A: Number of ways of distributing n identical balls into r distinct boxes =n+r-1r-1 Number of ways of…

Q: nral solution D + D,)'u = 0 %3D

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Q: Work Problem 2 (a) Sketch a graph of a function f such that: o f>0 and f" 0, for a > 3. (b) Does…

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Q: y Consider the surface of equation z = What is the equation for the tangent line to S at x2+y4 * the…

A: Solution

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 5-x P3(x) = - x-1 + (x -…

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Q: Let D be solid hemisphere x² + y² +:? < 1, : 2 0. The density function is 8 = :. We will tell you…

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Q: 1.8 Consider the double integral VP 12 + y? ry where R is the region of the XY plane, given in the…

A: As per guidelines we experts are allowed to solve one problem at a time. please reupload the second…

Q: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

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Q: Answer the following using Jacobi Method. Show complete solutions. Answer should have atleast 5…

A: here we consider x1=x, x2=y, x3 =z  So equation become

Q: Let V = R be the set of positive real numbers. We define addition and multiplication with standard…

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Q: Use a definite integral to find the area bounded by the curve x+3, the axes over the interval…

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Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

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Q: Skydiver weighing 165 Ibr (Including equipment) falls vertically downward 10 s of free fall. Assume…

A: Given that weight m = 163 lbf  g =32 ft/s2 Air resistance is  0.76 v that is, b  =  0.76 v

Q: Solve the initial value problem (3+x*)y" + 4y = 0, y(0) = 0, y (0) = 12. If the solution is y = co +…

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Q: Find the series' radius of convergence. sn=∞ (-1)"(z+2)" m=1 (n+1)! O o, for all x O 0, for all x…

A: Radius of convergence