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(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.
5. Let a curve be parameterized by x = t3 + 9t, y=t+3 for 1 <t < 2. Set up and evaluate the integral for the area between the curve and the x-axis. Note that x(t) is different from the other problems.
Find the exact length of the curve. x = t 2 + t' y = In(2 + t), 0<t< 5 1.2986 Need Help? Read It Watch It Talk to a Tutor
4. Determine the integral which computes the arc length of the curve y = sin(x) with 0 < x <. TT A '1 + sin2(a)dx so $." .TT B 1 + cos2(x)dx С [* V1 – cos? (7)dx D| None of the above.
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
Question 10 > In a circle of radius 3 miles, the length of the arc that subtends a central angle of 6 radians is miles. ho > Next Question Question 11 < > Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 265 (x,y) =( Question 14 <> Write in Polar form: r(cos( + i sin 0). (0 < 0 < 27 and round to 3 decimal places) -12 + 6i T=...
Find the length of spiral curve T() = ----- 0 < > < 2”
3. Suppose the curve x = = t3 – 9t, y=t+ 3 for 1 <t< 2 is rotated about the x-axis. Set up (but do not evaluate) the integral for the surface area that is generated.
6. Let a curve be parameterized by x = t3 – 9t, y=t+3 for 1 st < 2. Find the xy coordinates of the points of horizontal tangency and vertical tangency.
Find the solution of the given initial value problem: y" + y = f(t); y(0) = 6, y'(0) = 3 where f(t) = 1, 0<t<3 0, įst<<