given by: Calculate the length of the curve ya Rae sint X-va e cost Osts I...
osts 1 = e' sint y=e' cost parametric equation of the curve part; a) find the length, b) Find the area of the surface formed by rotating it around the Ox- axis.
Question 11 Find the constanta if the length of the curve given by the parametric equations is 47 = a cost, y= a sint; osts
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0 < t < π (1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 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...
MATLAB ONLY MATLAB ONLY MATLAB ONLY MATLAB ONLY (x(t), y(t)) (t - sint, 1- cost 1. (15 pts) Consider the parametrized curve 0,7] 2) (10pts) Calculate the length of (x(t), y(t)) from 0 to 7 1) (5pts) Plot the graph of parametrized curve on (x(t), y(t)) (t - sint, 1- cost 1. (15 pts) Consider the parametrized curve 0,7] 2) (10pts) Calculate the length of (x(t), y(t)) from 0 to 7 1) (5pts) Plot the graph of parametrized curve on
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)
:) IS (x+y+z)ds X-1 (b): Find the work done by F over the curve in the direction of increasing t, where F =< x² + y, y2 + 1, ze >, r(t) =< cost, sint,t/27 >, Osts 27. y-2=2-3 =+ C) -1-2 I-3
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...
Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve. x=5 cost. y 3 sint Osts 2x Choose the correct graph below ОА OB Ос OD Q Determine the rectangular equation of the curve. Choose the correct answer below. Ox+y? - 34 O 25x + 9 = 1
Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve x=7 cost. y sint Osts 2x Choose the correct graph below. OA OB Ос. OD @ Determine the rectangular equation of the curve. Choose the correct answer below. Oxy7:16 40 O o 36 40 1 0 40x3y1