(1 point) Evaluate s(t) du for the Bermoulli spiral r(t) -(e cos(5t), e sin(5t,) It is convenient...
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of the function f(x, y) = 3 sin(ry) + cos(y2) cos 5t and y(t) = 5 sin t - sin 5t for 0 < t < 2« and F is the (5) EvaluateF dr where F(x, y) with counterclockwise orientation (2y, xy2and C is the ellipse 4r2 9y2 36 _ F dr where F(r, y) = (x2 -...
Consider the spiral given parametrically by z(t) = 6e 0.4 sin (2) y(t) = 6e 0.4t cos (2) on the interval 0<t< 5. -3 -2 -1 0 1 2 3 4 5 Fill in the expression which would complete the integral determining the arc length of this spiral on 0 <t<5. dt Submit Answer Tries 0/8 Determine the arc length of the given spiral on 0<t<5. Submit Answer Incorrect. Tries 1/8 Previous Tries Now determine the arc length of the...
Questions 9-11 all deal with the same curve: Consider the curver(t) = (cos(2t), t, sin(2t)) Find the length of the curve from the point wheret = 0 to the point where t = 71 O 75.7 G O 7/3.7 2. O 7V2.7 2 7.T 2 3 (Recall questions 9-11 all ask about the same curve) Find the arc-length parametrization of the curver(t) = (cos(26), t, sin(2t)), measure fromt O in the direction increasing t. Or(s) = (cos(V28), V28, sin(28)) Or(s)...
Please answer all three, (: Consider the spiral given parametrically by -0.3 sin (4t) = 6e -0.3t 6e Уб) cos (4) on the interval 0 s 1s 8 6 2 -2 -4 -6 4 5 -5 -4 -3 -2 -1 1 2 3 6 X 0 t 8 Fill in the expression which would complete the integral determining the arc length of this spiral C on dt sqrt(579.24 exp-0.3t)) Incorrect. Tries 5/8 Previous Tries Submit Answer Determine the arc length...
1) For this problem use the following space curve: r(t) =< t, 3 sin(t), 3 cos(t) > a) Determine the unit tangent vector: T. b) Determine the unit normal vector: Ñ. c) Determine the curvature of this space curve at the point: (0,0,3). d) Determine the arc length of the curve between t = 0 and t = 1.
1) For this problem use the following space curve: r(t) =< t, 3 sin(t), 3 cos(t) > a) Determine the unit tangent vector: T. b) Determine the unit normal vector: Ñ. c) Determine the curvature of this space curve at the point: (0,0,3). d) Determine the arc length of the curve between t = 0 and t = 1.
(1) Evaluate the following line integrals in R3. r +yds for C the line segment from (0, 1,0) to (1, 0,0) for C the line segment from (0,1,1) to (1,0,1). for C the circle (0, a cos t, a sin t) for O (iv) 2π, with a a positive constant. t for C the curve (cost +tsint,sint tcost, 0) for Osts v3 (Hint for (i): use the parametrization (z, y, z) = (t, 1-t, 0) for 0 1) t (1)...
Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on the interval 0 <ts. Question 18 Find the curvature of the curve F(t) = (3t)i + (2+2)ż whent = -1. No new data to save. Last checked a
art 1 sin(5t)) z(t) = (cos(50t) + x(t))?, where x(t) = }. z(t) is passed through a filter with impulse response h(t) in order to pass only the product 2x(t) cos(50t). Which filter below is the correct filter to do that? ST sin(5t) sin(15t) / (a) h(t) = {* tt at (b) h(t) sin(5t) sin(100) L 1. Tt at os(1004) 5 it - Tt J (c) h(t) = {i sinft) sin15)} 2cos(50) (a) h(e) = { i sin tuon )*2...
(1 point) Find the length of the curve (t) = (ea cos(4), et sin(), eä) for 0 st 55. Arc length =