Answered: 6.S ke ten the Cate given by Poiar eq… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.4: Multiple-angle Formulas

Problem 54E

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6.S ke ten the Caro given by Poiar eq dot;in )=v=2S16
fb r=2+ Cos o and Campute the arer boundad by (b)

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Suppose that the position of one particle at time t is given by x1 = 5 sin(t), y1 = 2 cos(t), 0 ≤ t ≤ 2? and the position of a second particle is given by x2 = −5 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. 1) find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)
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solve for the coodinates of ther point for (b) and (c) as well
Find the value of ds/du at u = 2 if s = t^2 + 5t and t = (u2 + 2u)^(1/3).
2(3) Calculate the following commutators: (a) [d/dx, x·d/dx] (b) [sin(x), cos(x)] (c) [x^2, Ĥ] , where Ĥ is a 1D Hamiltonian with V̂=V0 (constant) (d) [Â,B̂], where Â = d^2/dx^2 + x and = 1
r Foa e evpedmal of Yoscis o fol - 2 Yoo oy ic the vendoud Nayidele . e vy of lheade shiainel pa @ e (x=2) @ (
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Suppose w=x/y+y/z, wherex=e3t, y=2+sin(t)x=e3t, and z=2+cos(6t). A ) Use the chain rule to find dwdtdwdt as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e3t as x. dw/dt= B ) Use part A to evaluate dwdtdwdt when t=0.
Show via linear approximation at a = 0 that e^x cos(x) ≈ 1 + x. Using the linear approximation, approximate the value of e^(.1) cos(.1).

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