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Eliminate the parameter to sketch the curve: 2 = sin -0, 1 y = cos -0,...
Consider the following. x = sin(t) y = csc(t) 0<t</2 (a) Eliminate the parameter to find a Cartesian equation of the curve. 1 y = X y
Consider the following x= sin(2). y= cos3). -#585 (a) Eliminate the parameter to find a Cartesian equation of the cure. Consider the following. x = tano), y = sec(0), -/2 < 0 <w/2 (a) Eliminate the parameter to find a Cartesian qquation of the curve.
Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
in each case: (e) Compute y = sin(z)cos(r) for 0 < z < π/2
Solve fort, 0 < t < 27. 32 sin(t)cos(t) = 12 sin(t)
If csc(I) = 6, for 90° <I< 180°, then Preview sin() = 0 cos(1) Preview tan (3) - Preview
Problem 1. x(t) = 2 cos(210.8t) + 3cos(270.2t) 1) Sketch x(t) for 0<t<2 2) Find the Fourier Series coefficients for x(t)
Suppose sin 0 - 5 and 0<o<". Determine sin(20). DO NOT use a calculator
(2 points) Find the exact length of the curve y = In(sin(x)) for #/6 <</2. Arc Length Hint: You will need to use the fact that ſesc(x) dx = In|csc() - cot(3) + C.