Find the nature and coordinates of the stationary points of y=x²-3x²-24x

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Q: Compute the determinant of the following matrix. You must show your work, and may want to use…

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A: Please check question carefully, It says that answer must contain at least three decimal places.

Q: ● Homework 5.1. Find the least positive residue of each of the following: a) 6! modulo 7 a) 5¹⁰…

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Q: equation Consider the elliptic curve group based on the y² = x³ + ax + b mod p where a = 852, b =…

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Q: Problem 1 Determine which of the following bases are orthogonal, and then determine which are…

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Q: Consider the function f(x, y) = 2x²-3xy + 8y² + 2x - 4y +4 at the point P(-2,1). a) Find a vector…

A: Let  be a function, thena) the gradient  gives the direction of the steepest ascent at point…

Q: 2 (90) 2 Determine if S={ all the correct answers }is a basis for R2 and check a. S is a basis b.s…

A: Note: '' As per guidelines we will solve first question. If you want any specific question to be…

Q: Find all eigenvalues and eigenvectors (up to scaling) of the matrix (a) over R (b) over F3 2 viewed:…

A: Using characteristic equation we find eigenvalue

Q: 2. Compute ffery dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x + z = 1…

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Q: Write the following set by listing its elements explicitly between curly braces: {x|x€z and…

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Q: Consider the following system of coupled initial value problems: = = -2y + 5e-t y(0) = 3 dt =-yz²/2…

A: Given information:System of coupled initial value problems:To find:The value of  at .Concept…

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Q: Question 1 Here are some points i 0 1 ti 0 1 x(t₁) 0 1 y(ti) 5 10 Find the parametric Lagrange…

A: Given: A table consisting of data points.To find the parametric Lagrange interpolating polynomials…

Q: 2. The behavior of the system is a saddle. x' = -x +y, y = -x-y

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Q: SOLVESTEP BY STEP DON'T USE CHATGPT Prove that the following vector is conservative f(x, y) = (exy +…

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Q: . Consider the following non-linear system of differential equations x'=xy- 2, y = x - 2y. Note that…

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Q: Convert the integral to polar coordinates, getting where h(r, 0) = A || B = = C = D = 1 I - I =…

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Q: e Newton's Method to approximate all roots of the given function, accurate to 4 places after the…

A: A real number  is said to be a root of a function  if . We have to use the Newton'smethod to find…

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Q: J (X (a) number of possible zeros (b) number of turning points (c) determine all of the real zeros…

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Q: Find the area of the region enclosed by one loop of the curve. r = 4 + 8 sin(0) (inner loop)

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Q: 2. For each of the following functions decide whether it is one-to-one and whether it is onto, and…

A: 2.(i) we see, (1/4, 4) ≠ (1/2, 2)      but m(1/4, 4) = (1/4)×4 = 1            m(1/2, 2) = (1/2)×2 =…

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Q: Find the optimal strategies, P and Q, for the row and column players, respectively. P = Q= 7-6…

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Q: 1 -1 Let C = 0 0 1 0. The characteristic polynomials of both these 0 2 02 matrices is p(x) = (x −…

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Q: Prove that the d₁ ("Manhattan") metric on R2 is really a metric.

A: The objective of this question is to prove that the d1 (Manhattan) metric on R^2 is indeed a metric.…

Q: 5. 14 46 14 Statement: Expression: Value of expression: 46 14 46

A: Given Information:A tape diagram is given.144614461446To find:The statement, expression for the tape…

Q: orthogonal to every vector in a basis in Null(A¹). (c) Use the Gram-Schmidt process to find an…

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Q: equations: dx/dt=-x+2y, dy/dt=2x+2y+e^(2t). Initial conditions are given by x(0)=0; y(0)=-34

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Q: T T T T F F F F 23. 22. For sets A, B, and C, A x (B x C) = (A x B) x C. For sets A and B, if A C B,…

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Q: Wouldn't the sin(pi*h/2a) cancel eachother out ? In teas of being 2sin ?

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Q: 1. Let B₁ = = {-1} {[]} i) Find Rep ii) Find Rep B1 and -{[]} B2 = be two ordered bases for R² C…

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Q: Suppose Q is the quadratic form below The minimum value of Q subject to = 1 is Q = 4. An eigenvector…

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Q: Draw the graph represented by the following adjacency matrix. a b c d e f EDC F a b с d e f 0 0 1 0…

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Q: Use simplex method to solve the following Linear Programming (LP) problem. Maximize Z=4X₁ +8X₂ +6X3…

A: First two constraints are less than type so adding slack variables s1,s2 with these constraints.…