mum of x e-x for x e (-x,)

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

A: The region shaded by both inequalities is the solution of the system of inequalities.

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

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Q: . Show that there exists a real number 0 <x< 2 so that x' + 8x² – 10 = 0 -

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Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix 3 0 0 3…

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Q: a) Find the magnitude of the resultant of the forces (2ị – 3j)N, (4i + j)N and (-3i + 3j)N. b) Two…

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Q: exp(-4 + 5i) re2mi

A: According to Euler's Formula, for any real number x; eix=cos x+i sin x

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x^3/2,…

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Q: R.2. Consider the relation R=- ={x,y):x.yeR&]x=}<3}. Is R an equivalence relation on set of real…

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Q: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

Q: The volumes of two similar figures are given. The surface area of the smaller figure is given. Find…

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Q: Let -4 -4 4 A = |-4 -4 -4 4 -4 -4 Find an orthogonal matrix P and a diagonal matrix D such that D =…

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Q: – 2) dt. Then fC

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Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: Analyze the stability of the zero solution for the system dx = -y + y(x² +y² dt dy = x – x(x² + y²)…

A: To analysing  the stability of the zero solution for such a non linear system of ordinary…

Q: ion Prove that for

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Q: Find T, N, B,

A: Note:- As per our guidelines, we'll answer the first three sub-parts of this problem as exactly…

Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: 1, if a is rational; 9. Consider the Dirichlet function f (x) = %3D 0, if r is irrational. TRUE or…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 6 – x, and y = 0 is…

A: The volume of revolution of the area bounded by the curve f(x) and the x-axis between the limits x=a…

Q: 50. Calculate lim, sin(). (Proof is not required) n+2 n-+3

A: We have to calculate the limit limn→∞sinn+2n2+3

Q: 3 -10 The matrix A = -1 -3 5 has an eigenvalue A = 3. 2 -1 6 Find an eigenvector for this…

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Q: 1 0 1 If B = -2 -2 -1 1 2 2 then det (B5) =

A: We have used determinant property.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

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Q: Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2,…

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Q: Solve for the following: 1. Find the Laplace transform of f(t) = t'e3t cos 2t 2. Find the inverse…

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Q: b) Find the unit tangent vector of 7(t) = (t? – 1)î + t²j at t = 2.

A: We have to find the unit tangent vector.

Q: In each part, find 121. 12. Z = -3 – 4i 13. z = -7i V3. 1 = Z 14.

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Q: 24, , -6 la"b d) Va

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Q: Question 24 A model of a river towboat is to be tested at 1:20 scale. The actual boat is designed to…

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Q: (1) [4+4 points] Determine whether the following series converge or diverge: k! (a) Σ 2.4.6... (2k)…

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Q: for the curre y=: f(n) = n*, 0 sM 32 find the curve'slength given by: 1. 2 It dn

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Q: Given the box and whisker plot below, how much of the data is between 8 and 10? 0 2 4 6 8 10 12 14…

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Q: Determine the general equation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

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Q: Evaluate using geometric series: E 5i(0.5)(-1

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Q: The differential equation y" – 3/ + y = 0 has y = cje(z/2) sin ( V3z ) + cze(z/2) cos as a two…

A: The solution is given as

Q: solve c) Evaluate the distance between the parallel planes - 2x + y + z = 0.6x - 3y - 3z + 6 =

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Q: Linear Programming a. Solve the problem by using the simplex method (Show the tableau)

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Consider the linear system ý. 15 Find the eigenvalues and eigenvectors for the coefficient matrix. ,…

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Q: Approximate the following functions using Taylor series. Solve the absolute and relatice error in…

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Q: Find all sixth roots of I, by solving the equation 1. [Hint: Find the zeros of the polynomial f(x) =…

A: Use the following formulae, to obtain the solution. a2-b2=a-ba+ba3-b3=a-ba2+ab+b2a3+b3=a+ba2-ab+b2

Q: 8. Let d denote the discrete metric on a set X. Let (n) be a convergent sequence on (X, d). Which of…

A: Given d is discrete metric on a set X. and (xn) is a convergent sequence on (X, d).

Q: A joint density function of the continuous random variables x and y is a function f(x, y) satisfying…

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Q: For the following logarithms, either write the correct value, or explain why the expression does not…

A: Let us determine whether the given logarithmic expressions are correct or not and also determine the…

Q: 2 (1– ¡)(3 + i) | 15. V3 +i (1 – i)(/3 – i 16. (1– iX1– 2i)(1+ 2i) 17. 1- 2i 2+i 18. 3+ 4i 5i |1+ il

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Q: d) 3/2 d.x (x4 +1)2 16 Cos(2.r) T e) dx %3D 1+ x2 e2 8. 8. sin x d.x (x2 + 4)(x - 1) Cos 1 - |

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Q: 11 If P(x) 2x* + 6x3 + kx² – 45, find k for which P(-3) = 9.

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Q: Give an example of a function f : R → R that is continuous at x if x is an irrational number, but it…

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Q: A. Polynomial: Basic Concept, Long Division and Synthetic Division (Week 1) 1. Find (i) the constant…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…