Any finite dimensional linear subspace of a normed "ector space is closed • Discuss the same when the near subspace is in finite dimension!?

Q: 5. Find the equation for the ellipse with foci (±√11,0) and semimajor axis a = 6. (a) (c) 36 + + y²…

A: The given problem is to find the equation of ellipse with given foci (+√11,0) and semi major axis…

Q: (a) Show that the following sets are not convex: - i. S = {x € R²: x² = x² + x₁ + x₂ ≤ 4}. ii. T =…

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Q: Use the quadratic formula to solve the equation. 2x²-13x = 1 ... The exact solutions are x =…

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Q: 11. u(x): + f² = cos x + K(x, t)u(t)dt, K(x, t) = 6t(1), 6x (1 – t), for 0 < t < x for x < t <1

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Q: It is estimated that 54​% of people live in households with 1 or 2​ people, 29​% live in households…

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Q: (Find the family of solutions of the separable equation): (x - 5)y³ – x² (y² — 4). - dx dy 0

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Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

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A: Solution:

Q: A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen.…

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Q: 2. Use truth tables to show that the following statements are logically equivalent: (a) PV (QAR) =…

A: According to Bartleby guidelines I did only first one because this is multiple question.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Identify the genus of the conic using the indicator. Using a…

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Q: Find at least three different sequences beginning with the terms 1, 2, 4 whose terms are generated…

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Q: 7x-7y=3 x-y=15 What is the solution set of the system? Select the correct choice below and, if…

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Q: QUESTION 20 Is computing the interest as fast as possible (e.g., by the second) a realistic way of…

A: No. False

Q: 88) . Give the exact distance and an 5 approximate distance rounded to at least 2 decimal places.…

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Q: Use the Gauss-Jordan method to solve the system of equations. 4x + 5y = 15 3x - 2y = -6 The solution…

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Q: ir black and four white. 1 present equivalent colorin_ o number of equivalenco of

A: There are 70 = (48) ways to color the edges of the octagon, with four blacks and four white. Suppose…

Q: 7. Explain the difference between round and square brackets when expressing intervals. Use an…

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Q: Determine which of the following statements is true about the tableau shown below. BV P X1 X2 S1 S2…

A: Introduction: In standard from of a minimum probelm, all the constraints should be in '≥' formIn a…

Q: The area labeled B is 10 times the area labeled A. Express b in terms of a. b = YA 0 A a y = ex X YA…

A: We have to find the value of b in terms of a.

Q: Find the particular solution. x(y² - 1)dy + (y³ - 3y)dx = 0; when x = 1, y = 2

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Q: Find the mass and center of mass of the solid E with the given density function p. (x, y, z)= E is…

A: Given the solid E with the given density function ρ. E is the tetrahedron bounded by the places…

Q: 4. Prove ve 2 b 2, 3/(a² +6²) 73/91316 there exists kez where xly means divides y x 1.e.

A: Let a or b be not divisible by 3. Then, we consider following cases.  Case 1: a is not divisible by…

Q: By dragging all of the statements from the left column to the right column below, display a complete…

A: The given integration is : ∫25 x2dx It can be written as: ∫25 x2dx=limn→∞∑k=1nf(xk)△x   ,where f(xk)…

Q: Give bases for row(A), co(A) row (A) K(A) -3 41

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Q: Graph the following function: Provide your answer below: Drag the movable black point to shift the…

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Q: 4. Identify the conic using the indicator. By a rotation of the coordinate axes, transform the…

A: Note the following fact :

Q: all Give an example to show that a convergent Sequence under on metric may be divergent under…

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Q: F = Cytz) ₁ + (x tz) ĵ + (x + y ) k = = e² ²² î+ y ² 2 2 M = y ₂² (yz₁ + 2xzî + 3xy ^ )

A: Kindly refer to Step 2 for the solution.

Q: 2)Write a rational number to represent each of the following situations: a) Cheryl owes her dad $15…

A: A number which can be expressed as pq wher p and q are integers and q≠0 is called rational number.

Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

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Q: Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine…

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Q: Го 1 1] Let A = 10 1 1 1 be a symmetric matrix. 0 Find an orthogonal matrix P such that PTAP…

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Q: 1. Which of the following subsets of R³ are subspaces of R³? The set of vectors of the form b. b…

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Q: DIFFERENTIAL EQUATION 1. dy+2x²y=2xe* dx 2. az -x²cosy-w ay 3. ax² d'x d'x\/d³x dt dtª dt³ +X=t 4.…

A: Ordinary differential equation:  An differential equation is said to be ordinary, if dependent…

Q: Find an orthogonal diagonalization for A = U = U -2 - 2 - 3 i.e. find an orthogonal matrix U and a…

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Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

A: Given equation is ex=9-4x The root(s) of the equation correct to six decimal places is(are)…

Q: Find  C(n, x)pxqn − x for the given values of n, x, and p. (Round your answer to four decimal…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. For the equation 3x² + 4xy = 16 eliminate the xy term by…

A: Let θ be the angle of rotation and (x, y) be the old coordinates , x',y' be the new coordinates ,…

Q: -1 The graph of y= -1 1 -2 -5+ 5 4 3 f(x) is shown below. 5 6 8 9

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Q: 2. Prove by induction that for every n ≥ 3 we have 2 ≥ 2n + 1.

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Q: 8. Use Green's functions to find a solution to the IVP x²y" - 2xy + 2y = 2x² In x, y(1) = 1, y'(1) =…

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Q: Problem 2. Obtain the Fourier series for the function defined by: [0, when -2 < x < -1 f(x) = 5,…

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Q: 3. Let f: R² R2 where f(x, y) = (y³, x + y) and c = →>> = (0, 1).

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Q: Let r = - For both of the following answer blanks, decide whether the given sequence or series is…

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Q: Let T : R³ → R³ defined by T(x, y, z)=(-x+y,3y,4x-2y+5z). Find a basis B for the domain of 7 such…

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Q: Is the minimum problem in standard form? Minimize C = 4x₁ + 11x2 + x3 subject to the constra X1 + X3…

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Q: Setup the Riemann sum 5 n x³ dx = lim Σ n→∞ k=1 b n [10x) dx = f(x) dx = lim Σ ƒ(x₁)Ax for the given…

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