Plane Curves Find T, N, and K for the plane curves in Exercises 1-4 1,/r(t) ti (In cos j, /2 <t< T/2
(1 point) Find the length of the curver r(t) = i +3t'j + tºk, 0<t</96 L
(1 point) Find a vector equation for the tangent line to the curve r(t) = (2/) 7+ (31-8)+ (21) k at t = 9. !!! with -o0 <1 < 0
Find the length od the curve C defined by х = t2/2 - Int, y = 2t for 1 <t <2.
(22 - y2 + 2)ds, here C is the curve r(t) = (3 cost, 3 sint, 4t) with 0 <t<2.
Find the Peano range of the Cauchy problem. Z=38 {r' = (2 = (Z -t)y,-3<t< 3; y(1) = 2
Find the length of spiral curve T() = ----- 0 < > < 2”
Given: r(t) = <t, <t,>, a) sketch the plane curve represented byř (indicate the orientation), b) find the velocity, acceleration and speed functions, c) find the values of t for which the speed is increasing, d) find and sketch the vectors: ř(1), 7(1), and ā(l), (on your graph), and e) find ī (1) and N(1).
Provided N(0, 1) and without using the LSND program, find P( - 2 <3 <0) Provided N(0, 1) and without using the LSND program, find P(Z < 2). Provided N(0, 1) and without using the LSND program, find P(Z <OOR Z > 2). Message instructor about this question Provided N(0, 1) and without using the LSND program, find P(-1<2<3). 0.84 Message instructor about this question
1. Consider the curve i(t) = (t sin(t) + cos(t))i + (sin(t) – t)j + tk. (a) Find the length of the curve for 0 <t<5. (b) Is the curve parameterized by arc length? Justify your answer. (C) If possible, find the arc length function, s.