(6.47) (T4)-(r-3.6)

Q: For the Cartesian equation of the plane : -2x+y-4z +12=0, find: a) 3 points on the plane b) the…

A: If a point lies on a plane, then it must satisfy the equation of the plane. The parametric equation…

Q: Find the quotient. ². 2 - 13x + 40 I²-2-15 ÷ (2² - 5x - 24) = I # F

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Q: Show that the function defined by xy √x²+y² f(x, y) {{ = 0 if (x, y) = (0,0) is not differentiable…

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Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +,.).

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Q: Question 2: Determine the nature and stability of the equilibrium points of the system dz = z-y+z²,…

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Q: 15 Differential equations Please help solve Thank You.

A: Solution:-

Q: NUMERICAL METHODS PLEASE (C) ONLY (a) The function er is to be approximated by a fifth-order…

A: Given: fx=x2+x3 To find: Solution:

Q: Calculate the following triple integral; J ydV R Describe the meaning of R in the integral, is the…

A: As per the question we are given a triple integral over the region R And we have to first…

Q: Assume g(x,y) is a function of the form x³y g(x,y) = √²x²y³² ( O 1g (x, y)| ≤ lally! then < Show…

A: Solution ; g(x,y)=x3yx2+y2,(x,y)≠(0,0)0,(x,y)=(0,0) Use parametrization to prove required result,…

Q: Use induction to prove for every positive integer, 4 x 10 = 4 or 7 (mod 33)

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Q: (b) Let g(x)=√x with domain {x|x ≥ 0}, and let > 0 be given. For each c> 0, show that there exists a…

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Q: Write an equation for the function graphed below 1 -3 -2 4 5 6 -1 - 2 3 I

A: The ratio of two polynomial functions when the denominator polynomial is not equal to zero is called…

Q: 1) Write down the first 5 terms of each of the following sequences: {bn}a_1, where bn = nth digit of…

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Q: Fourier series? f(x)=x² 2 xe logt)

A: Given function is fx=x2, x∈0,π. We have to find the Fourier series of the function fx. The Fourier…

Q: nd Simon ran in. A

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Determine whether the given differential equation is separable. -5 tan (x - y) = 0 dx Is the…

A: Separable Equation :                                                                      An…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Linear combination is the general solution , then satisfying the initial conditions.

Q: Solve. The same way to ask the solution Find the general solutions of the system. 400 x' = -595 x…

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Q: Obtain the general solution to the equation. (x² +19) dy dx + xy - 2x = 0 The general solution is…

A: Using integrating factor method

Q: Use Gauss-Jordan Reduction to find the value of the unknowns in the given set of equations. 2 1 3 9…

A: As per the question we are given a system of nonlinear equations in variables x, y, z, w And we have…

Q: Question 5 ( T A manufacturer assembles personal computers. If the computers are priced at £1,000…

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Q: Given: z = 6(cos30° + isin30°), find 3. z³

A: Given the complex function

Q: 3. Consider the functions_f(x)=(x-a)(x−b), g(x)=(x−p)(x−q)_and_h(x)= g(x) If a‡b‡p‡q, then a) which…

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Q: Find the area of R = {(x,y) = R² : x € [-1,2], y € [x²,x + 2]} integrating first along horizontal…

A: The double integration in the horizontal direction is ∫ab∫g(y)h(y)f(x,y)dxdy The double integration…

Q: find the Linear trans fromation Tee whose matrix Wzxz i -1 Hi- + =1421] -2 with regard to the base H…

A: Question had typo. Hence solved after correction

Q: Find vectors x and y in R2 that are orthonormal with respect to the inner product (u, v) = 3u₁v₁ +…

A: The given problem is related with inner product. We have to find the vectors x and y in ℝ2 that are…

Q: Find the general solution to the differential equation y" - 2y + y = ex 1+x² (where y' = dy)

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Q: Let x and y be functions of t. Find the general solution of the system of equations below by first…

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Q: Derive all the possible equations of x. Given: (x-2)^2-lnx=0

A: x-22-lnx=0

Q: 3. Let (G, *) be a group of order p, q, where p, q are primes and p < q. Prove that (a). G has only…

A: The given question is related with abstract algebra. Given that G, * is a group of order pq, where…

Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

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Q: . Determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a…

A: In this question, the concept of isomorphism is applied. Isomorphism A graph can exist in a variety…

Q: Find the first five non-zero terms of the Taylor series for f(x) = + + 1 X centered at x = 3. + ...

A: Taylor series is given by general formula f(x) = f(a)+f'(a)(x-a)+f''(x)(x-a)22!+f'''(x)(x-a)33!…

Q: Let ƒ : f: R” → R be a function given by ƒ(x1,x2,...,xn) = x².x² …x², where n x² = 1. Show that the…

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: Let ABC be a triangle with circumcentre O. The po sides CA and AB, respectively. Let K, L and M be…

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Q: 7. Prove that if G is a group of order 1045 and H€ Syl19 (G), K € Syl₁1 (G), then KG a and HC Z(G).…

A: As per policy, we are solving only the first Question, Please post multiple Questions separately.

Q: 1 (-1)-1 (ii) 1 +... 5 2n-1 (b) Show that the interval of convergence of the series 1 1 -√2ses.…

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Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: Use the fourth-order Runge-Kutta subroutine to approximate the solution (x) of the initial value…

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Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is…

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Q: elimination with partial pivoting?

A: Given,              0.5x1-x2=-9.5                              ...(1)1.02x1-2x2=-18.8…

Q: a. b. C. (x+y) dx+(x-y)dy = 0 (2xy − 3x² ) dx + (x² + y)dy = 0 (2xy + y) dx + (x² − x) dy=0

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Q: a. Compute the expected frequencies under the null hypothesis that there is no relationship…

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Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…

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Q: solve e² = -2 for all values of z

A: Given,            ez=-2

Q: Note: My ID=21127 1. Convert last 5 digits of your ID to binary number and hexadecimal number.

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Q: Consider the second order differential equation with initial conditions u" + 7u' +5u = 2.5 sin(3t),…

A: Given- Consider the second order differential equation with initial conditions u'' + 7u' + 5u =…

Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: i can't understand your solution. (step 3)

A: The expert has answered the answer using double derivative. If you are not able to understand double…