How many planes of symmetry do the objects shown below have? Indicate your answer in the space provided. ( Don't forget planes on the diagonal!)

Q: 1. Fix R € (0,1). Prove that oth converges pointwise to f(t) = ₁¹t on S = [-R, R]. Hint: Fix R € (0,…

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Q: (a) the quarter-circle C₁ from P(1,0) to Q(0, 1): r(t) = (cost, sin t), 0 ≤ t ≤ (b) the…

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Q: Example

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Q: Consider the function f'(x) = ² +2. (a) Find the Riemann sum for the area under f'(x) between x=3…

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Q: 0 ccab(ar) Dzah(x) || 2.000(x4/2)

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Q: Let G be a group of order 40 whose subgroups include H and K, of orders 4 and 5, respectively. (a)…

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Q: 83. Find the maximum possible area A of a trapezoid inscribed in a semicircle of radius 1, as shown…

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Q: Find the indefinite integral. (Use C for the constant of integration.) | 45 4sin(x) cos(x) dx

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Q: f(x) = 2x +3, P = {-4, -1, 1, 4, 8), C = (-3, 0, 2, 5)

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Q: The unit step function IR→ R is defined as if x 0. I(x) = 0 1 (i) Let s € (a, b), and suppose f :…

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Q: Find the line integral of F = (3x2-5x) i+5zj+ k from (0,0,0) to (1,1,1) over each of the following…

A: we calculate the value of line integral using the general formula ∫F.dr.

Q: dx 5 dx4 dx 3 dx² dx 3. y (8) — y (7) — 11y (6) + 12y (5) + 36y (4) — 48y''' — 16y''+ 64y ' — 64y =…

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Q: 1 pint) Use the following figure, which shows a graph of f(x) to find each of the indicated…

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Q: Find the present value (in dollars) of an annuity that pays $6,000 at the end of each 6-month period…

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Q: 6. Derive the Brafman's generalin ¯ (c)„ H₂ (x)¹″ = (1-2xt)˜° 2Fo Σ n=0 +] [i{^~~") -

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Q: a. Determine the formula for the Laplace transform. 4 2 1 L{e³t sin 4t-t² + e¹}= + 3 (s-3)² +16 s³…

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Q: 1. [ F · dŘ, where F(x, y) = xy î + 3y² ĵ and C : Ř(t) = t² î + 2t ĵ, 0 ≤ t ≤ 1 S F. dR, where F(x,…

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Q: 6. Derive the Brafman: (c), H(x)" Σ IM = (1-2.xt) ₂ Fo 41² (1-2.x)² __ [¾¢¦¢+ ‡;-

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Q: b) Prove that + ≥ 2, for any nonzero real numbers a and b.

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Q: Let F = (3z + 3x²) ¿+ (6y + 4z + 4 sin(y²)) 3+ (3x + 4y + 6e²²) k (a) Find curl F. curl F - (b) What…

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Q: Suppose that U and V are subspaces of IR". Fill in the blank so that the following statements are…

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Q: Orthogonal Properties of Legendre's Polynomials : L, Pm (x) P₁ (x) dx 2 2n + 1

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Q: Expand x" in a series of Hermite polynomials.

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Q: (a) Find a potential field function for F(x, y) = (x + y)i + (x - y) or prove none exists. (b) Find…

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