May i have this hand written

Q: Prove that the equation x¹ = x + 1 does not have any rational solution.

A: The given equation is  x4 = x + 1    If possible assume that the above equation has a rational…

Q: 2. Test the following series for convergence. (a) 106n + con n + ain n Σ' 13 - 1 (11) Σsin (6) (c) Σ…

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Q: If there are 45 teachers teaching 1300 students in night school, what is the per capita class size?…

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Q: Calculate limits and explain why they converge or diverge, state what theorem you will use. i. limx…

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Q: A system of coupled ODEs, where x = x(t), are expressed in the matrix form X x' = (-10³4)x where x =…

A: x'=73-10-4xx0=-7-8

Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

A: The given system of linear equations, x-3y+z=-12y-5z=-7x+y+2z=-4 We have to find the solution to…

Q: can i have this hand written

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Q: Look at the graph in the file Q2Kruskal.pdf. It shows locations A, B, C, D, E, F and the edges show…

A: The given graph is as follows: A minimal spanning tree is a subgraph that covers all the vertices…

Q: Let S be a non-empty open connected subset of R². The number of possible continuous onto functions…

A: Solution given below.

Q: Let G = Z16 .Find all automorphisms G. The group isomorphic with G and the #AutG group.

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Q: (a) Express the area under the curve y =x4 +5x2 +xfrom 2 to 7 as a limit.(b) Use a computer algebra…

A: Given the curve y=x4+5x2+x. We have to estimate the area under the curve on the interval 2, 7 by…

Q: Stokes’ Theorem for evaluating surface integrals Evaluate the line integral in Stokes’ Theorem to…

A: The given vector field F=4x, -8z, 4y and S is part of the paraboloid z=1-2x2-3y2 that lies within…

Q: Let F(x) = f(4w2 - 12w)dw. Find the extremum of this function.

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Q: 07 * Let U and V be two dimensional vector spaces with bases {u₁, u2} and {V1, V2} respec- tively.…

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Q: Let V and W be vector spaces. Suppose that T: V→ W and S: W→ V are linear maps satisfying TS = I.…

A: Given: V and W are vector spaces. T:V→W and S:W→V are linear maps satisfying TS=I. To Prove: V=Range…

Q: I am a bit confused about slide 13 of the Inequality Graphically Desmos as being confused about how…

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Q: a, 19, b, c S = lin 818 ER an an-

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Q: readmission from the University. (Reference: Student Dis 1. Write TRUE if the statement is always…

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Q: I) Show that W = {(a, b,a-b): a, b e R) is a subspace of R³ and find its dimension.

A: W = {(a, b, a - b) : a, b ∈ R} Clearly, W is a subset of R3.     Let, (a1, b1, a1 - b1), (a2, b2, a2…

Q: 3. Find a value of b > 0 that makes x2 – 4 dx an improper integral.

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Q: 7. (x − x² - y²)dx + (y + x² + y²)dy = 0. -

A: As students asked to solve only question 7. So we solve only 7th question.    In this question,  we…

Q: The Nutty Professor sells cashews for $6.20 per pound and Brazil nuts for $5.20 per pound. How much…

A: Solution is given below:

Q: Consider the polynomial: f = 2X² +aX³ + 3X² +bX+cER[X] with roots X₁, X2, X3, X4 E C. a) Calculate:…

A: The given polynomial is fx=2x4+ax3+3x2+bx+c∈ℝx with roots x1,x2,x3,x4∈ℂ.   For a polynomial…

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: The curve fx=arctanx. We have to find the equation of an osculating circle at the point x0=1.

Q: Prepare a graph of the constraints and objective function and solve the following linear programming…

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Q: Answer the q

A: Question 3:  Given the triangle with vertices (2,6), (1,-2), and (-3,-2). part A to graph the…

Q: Values of f(x, y) are shown in the table below. x= 3x3.1 7 9 5 7 y = 4.6 3 5 Let R be the rectangle…

A: The given rectangle 3≤x≤3.2, 4≤y≤4.6. Also ∆x=0.1, ∆y=0.3. We have to find Riemann sums over and…

Q: 2. Find a matrix that projects onto the line / 2x - 5y = 0 and find the projection of 6= (1, -2)…

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Q: 2 S=1+2+3+---+ 100 = 5

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Q: Given a scalar-valued function of multiple variables, f(x) = x₁sin(x₂) + x²x3 + x₁x₂x3 + x3 -]. [X3]…

A: The given scalar- valued function is fx=x1 sinx2+x22 x3+x1x2x3+x3where x=x1x2x3.The quadratic…

Q: Let G be the region bounded above by the sphere x² + y² +2²=a² and below by the cone = √√x² + y² .…

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Q: sider the vector-valued function R(t) with Ả(1) = (1,2,−1) and Ř'(t) = = 1 2 (²²/7/7 - 2) - Find…

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Q: Let S be a non-empty open connected subset of R². The number of possible continuous onto functions…

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Q: Let A be an adjacency matrix of C5. Show that A² = J-A+I where J is the 5 x 5 matrix of all 1's and…

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Q: It is suggested that an incompressible fluid flows with the velocity field v = (sin (xy²zt), x²t,…

A: Solution:- Given: v=[sin(xy2zt),x2t,zy2t] To find: Determine expressions for flow divergence…

Q: Eight dimes make up what percent of a dollar

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Q: Use appropriate algebra and Inverse Transform Theorem to find the given inverse Laplace transform.…

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Q: Using composite trapezoidal rule evaluate the integral ∫0.5 0 f(x)dx

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Q: Find the directional derivative of ƒ (x, y, z) = 6 xy² – 4yz² — z² at P = (3, 2, -4) in the…

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Q: 7. A system of coupled ODEs, where x = x(t), are expressed in the matrix form 7 3 x = (10)x where x…

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Q: Fin the inverse of the following using Convolution theorem (i) 21 3s² + 5s-2

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Q: If x1, x2 are the solutions of the equation = 1 496x+1, compute the value of x1 + x2). Select all…

A: Given, if x1, x2 are solution of the equation                               74x2=1496x+1.

Q: What are the Karush–Kuhn–Tucker conditions and what are they related to? b. Maximize function…

A: (a) Karush-Kuhn-Tucker Condition: For a convex non linear optimization problem, Karush Kuhn tucker…

Q: 1. GIVEN: (-1,0 ≤v <2 0,2≤v<4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given step…

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Q: 2. If r = (x, y, z), prove that v (²-) = - 1²/13 V

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Q: Let A be an adjacency matrix of C5. Show that A² = J-A+I where J is the 5 x 5 matrix of all 1's and…

A: Adjacency Matrix of a graph G:- Let G be a graph with vertices v1,v2,...,vn. The adjacency matrix of…

Q: 5. Find the area of the surface formed by revolving the graph of y = √√x + 2 from x = 1 to x = 8…

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Q: QUESTION 3 Consider the state-space system in Question 2. Given zero initial conditions and u (t) =…

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Q: (A): Derive the differential equation governing the buckling of the column shown in figure knowing…

A: Given that the buckling of the column shown in figure knowing that the column has a uniform circular…

Q: Now I round another whole number to 2 significant figures and again get 1000. What is the smallest…

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