Question 15 < > Find the length of the curve for the following parametric equations for...
Question 11 Find the length of the curve with parametric equations x = 2t, y = 3t, where 0 <t < 1. 10 42-2 O 4V2 - 1 22-1 4/ Question 12 True or false: y=x cos x is a solution of the differential equation y + y = -2 sin x True False
(6pts) Consider the curve given by the parametric equations x = cosh(4t) and y = 4t + 2 Find the length of the curve for 0 <t<1 M Length =
2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2
Find the integral that represents the length of the parametric curve defined by x = e' –t, y = 2e2, 0 <t < 1. Select one: o al. Vre! – 1° +1 dt ObſVe4 – 2e + 2 de o af Vibe' + e² - 2te + 1² de O d. ſ' vroeken? + e= nº di o of Vie + 1 di O !!! Vet – e' + 1 de o ' viel + 1) di on I' v2e...
Find the length of spiral curve T() = ----- 0 < > < 2”
Which of the following integrals represents the length of the parametric curve x = 1+e', y=t, -3 <t< 3, about the X-axis? A. Vet? + 4t2 dt 3 B. V2et + 4t2 dt Ve2t + 4t dt D. Vet + 4t2 dt U V2e + 4t dt 3 F. . Vet + 4t dt
Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
Question 2 QUESTION 2. MULTIPLE CHOICE. Find the exact arc length of the curve y on the interval 0 << 7. Show your work on a sheet of paper and clearly label it QUESTION 2. Make sure your work is in numerical order by question number 1024 27 128 27 1022 27 170 9 512 27
3.Find the area of the region bounded by the parametric curve and the x-axis. (10 pts) = 6 (0- sin 0) y=6(1 - cos 0) 0<02T Find the slope of the tangent line at the given point. (10 pts) 4. r 2+sin 30, 0=T/4
Write the parametric equations
x=2siny=4cos0
in the given Cartesian form.
y^2/16= with x0.
Write the parametric equations
x=2sin2y=5cos2
in the given Catesian form.
y= with 0x2.
Write the parametric equations
x=4ety=8e−t
as a function of x in Cartesian form.
y= with x0.
Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...