Given ř(t) =< 2 cost, t, 2 sint > as a trace of a moving object. (a) Find the curvature of K(t). (b) Find the arc length when 0<t <31. (c) Find the unit normal and binormal vectors of F(t).
Given that yy(t) = cost is a solution to y" – y'+y=sint and yz(t) = 3 is a solution to y" – y'+y= 221, use the superposition principle to find solutions to the differential equations in parts (a) through (c) below. (a) y" - y' + y = 20 sint A solution is y(t) = 0
(a) Sketch the curve r(t) = (e cost, e sint) in R2 and compute its are length for 0 < t < 87. For the sketch, use of software is acceptable, but the graph should be drawn by hand and the right features should be present.] (b) The vector v makes an angle of with the positive -axis. Write the vector v in component form. Furthermore, write the equation of the line lt') passing through the origin with direction vector...
Find f. f'(t) = 2t - 4 sint, (0)= 5 Select one: a. f(t) = 2t - 3 sint +5 O b. f(t)= +2 +4 cost +1 c. f(t)=12 - 3 cost-5 d. f(t) = x2 +3 cost e. None of these
ce curve. Find Ñ, & for the space r(t) = (cost + tsint)i + (sint-tcast Jj +3k. 1 ③ Find and sketch the domain for at the function. f(x, y) = en (9-x²y²)
What's the difference in motion for these 3? x-t y-t r - sint y sint
What's the difference in motion for these 3? x-t y-t r - sint y sint
I have no idea how to go about this question.
Question 8 value 9p Show that the curve ที่(t-(2 + V2 cost, 1-sint, 3 + sin t , t e R lies at the intersection of a sphere and a plane. Find the curvature at an arbitrary point on the curve.
Question 8 value 9p Show that the curve ที่(t-(2 + V2 cost, 1-sint, 3 + sin t , t e R lies at the intersection of a sphere and...
Please solve this question, thank you!
Evaluate e, ds where C is given by α(t)-(et cost, et sint, t), 0-t-2T. π.
Evaluate e, ds where C is given by α(t)-(et cost, et sint, t), 0-t-2T. π.
4. A computer's current is given by i = i, sint cost. Find the root-mean-square current from t = 0 sec to t = 0.50 sec. (6 marks)
Find the Laplace transform of the function f(t). f(t) = sint if o St<$21; f(t) = 0 if t> 21 Click the icon to view a short table of Laplace transforms. F(S) =