Find the vectors T and N given the following vector function. r(t) = (sin³ t, cos³ t, sin² t)

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Q: 10. Let f be a continuous function with period 27. If f is an even function (that is, ƒ(x) = f(−x)…

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Q: Find the distance between the points whose coordinates are given (48,32),(44,20) Although i do know…

A: Find the distance between the points whose coordinates are given (48,32),(44,20)

Q: Q(x₁, x2, x3) = x² + x² + x² + 4x₁x2 − 2x13 subject to x1+x2+x3 = 0 and -x₁+x2+x3 = 0, Q(x, y, z) =…

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Q: [19]. 4 Is a linear combination of the vectors 71, 72 and 73? Let - [63] 13 V1 = = V₂ - O is a…

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Q: 6. Solve the Cauchy problem Ut + xux = -tu, u(x,0) = = COS I.

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Q: 5. Assume that f is diff on R s.t. f(0) = 0, ƒ(1) = 1, ƒ(2) that 3x € (0,2) s.t. f'(x) = (hint: MVT…

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Q: 1. Let S be the portion of the graph z=4 - 2x² - 3y² that lies over the region in the xy-plane…

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Q: x"(t) + 2x(t) − y'(t) = 2t +5 x' (t) − x(t) + y' (t) + y(t) = −2t −1 when : x(0) = 3, x'(0) = 0,…

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Q: Prove that the d₁ ("Manhattan") metric on R2 is really a metric.

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Q: Let A = R - {1} and define f: A→A by f(x) = (a) Find fo f(x). (b) Find fofo f(x). (c) Find f-¹(x).…

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Q: Consider a surface with a metric tensor 2uv gij = u² 2uv 0²2 where x¹ = u and x² = v. What is the…

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Q: Use the divergence theorem to evaluate the surface integral normal for S. ₂² F. Nd.S where F =…

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