Find x so that the vectors u and v below are perpendicular. X u= 6 [-9 x=0 4 v=6 [-1]

Q: Given the geometric sequence: 26 3 ao 2, a₁ = a1 An = > a2 = find a formula for the n-th term: 338 9

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Q: 13 Identify which sequence of transformations could map pentagon ABCDE onto pentagon A"B"C"D"E", as…

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A: The given equation is,                           x-cosx=0 over the interval 0,1.

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Q: (a) Construct a forward difference table for the above data. (b) (i) Use the table presented in (a),…

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Q: 8+1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

A: Consider the given function, v=28+t since, ∆t=0.2 and n=0 to 3 sub-intervals we get,…

Q: 76 Find T, N, and x for the space curve r(t)=7i+j₁t> 0.

A: Let us consider the curve r(t) The unit tangent vector, the unit normal vector and the curvature is…

Q: 3. A circle with radius one centered at (0, 2) is revolved about the line x = 2. The solid of…

A: 3. Given that a circle with radius one centered at (0, 2) is revolved about the line x = 2.     The…

Q: determine and explain if it is true or false dim R"n, where C is the field of complex numbers.

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Q: Calculate the integral of ƒ(x, y, z) = 2x² + 2y² + zº over the curve c(t) = (cos t, sin t, t) for 0…

A: To find line integral over the parametric curves

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Q: 7. Consider a line in 2-dim space y = ax + b and a given point (ro. 30) not on the line. Please…

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Q: 1. Let F = [y, az³,-zy³] and C: the circle a² + y² = 4, z =-3. Evaluate So Fr'ds through direct…

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Q: Find a remainder a) 1989 1990 b) 9100 on 8. . after dividing 1991 1992³ on 7;

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Q: 8. Let A = {p, q, r, s, t, u, v}, and let R be the following equivalence relation on A: R = {(p, p),…

A: Equivalence Relation:            "A relation E on a set A is called an equivalence relation if E…

Q: 4. Consider waves in a resistant medium that satisfy the problem u₁t = c²uxx-ru, for 0 < x <l u= 0…

A: Let, ux,t=XxTtuxx=X''xTtut=XxT'tutt=XxT''t Separation gives…

Q: (a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4)…

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Q: 2. Consider the following two strings over the alphabet {a, b, c, d}: S = abcd dabcd T = Which is…

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Q: Question 2 Is (u, v) = au₂v₁ + bu₂V₂ +bu₂V₂ + €₂V₂, where u = (₁, ₂) and v = (₁, ₂) are vectors in…

A: Given : u , v=au1v1+bu1v2+bu2v1+cu2v2 To Prove : Inner product .

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Q: 3. A quantum-mechanical particle on the line with an infinite potential out- side the interval (0,…

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Q: Compute the line integral of the vector field F = (3y, −3x) over the circle x² + y² = 81 oriented…

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Q: For a two-tailed test with a sample size of 17 and a 0.20 level of significance, the t value is O a.…

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Q: 3. Suppose f: X→ Y, and A, BCY. Prove that (a) f¹(AUB) = f¯¹(A) u ƒ-¹(B). (b) f-¹(An B) = ƒ-¹(A)…

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Q: Describe the transformation of the given trigonometric function. A) y = -3 sin(x + ) - 2 0000 B) y =…

A: Vertical and horizontal shifts are made here in given functions.

Q: 1. Prove that for all positive integers n, n Σj2i = (n − 1)2n+¹ +2 j=1

A: To prove that,              ∑j=1nj2j=n-12n+1+2.

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: 4. Consider waves in a resistant medium that satisfy the problem u₁t = c²uxx-ru, for 0<x< 1 u= 0 at…

A: Given, utt=c2uxx-rut Applying the method of separation of variable Let,…

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A: A triple integral involves the integral with respect to x,y, and z. Usually, the upper and lower…

Q: 4) In each part, determine whether the integral is convergent or divergent. 5 3 D 00 √x dx b) 0 - dx…

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Q: . Define a relation R on Z as follows: a Rb if and only if 5 | (a²- 6²). Find four integers which…

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Q: Recall that i = √-1 € C, and let 0 € R. Prove that for all integers n ≥ 0, we have (cos+ i sin 0) =…

A: Given, cosθ+isinθn=cosnθ+isinnθ For n=0 cosθ+isinθ0=1                               =cos0+isin0…

Q: On an MAT102 test Catherine presented the following argument: "To prove that q: ZxZZ, q(x, y) = = x…

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Q: (2)(-_ A) f(x, y) = 2²-y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show…

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Q: For the followings problems, consider a function that is twice differentiable. This means that his…

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Q: 2V3 •v12-±2 -2v3J0 ^4+/16-æ2-y2 6 1 2 dz dy dx

A: The given problem is to Evaluate the given triple integral over the given limits of integral by…

Q: 415 28. (x) = 432 - 3x3 + 5 5

A: Solution. f'(x)= 4x4-9x2 = x2(4x2-9) For critical points f'(x)=0.

Q: Evaluate the triple integral B B = {(x, y, z) |1 ≤ x ≤ 1, −1 ≤ y ≤ 1, −2 ≤ z ≤ 2}. Enter an exact…

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Q: Let U and V be finite-dimensional vector spaces. (a) Find a formula for    dim(U X V) in terms of…

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Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

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