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- Construct the lagrange polgnomial for the function Ye Sinax taking the points X,-0,X,=y} e interpolationDescribe the condition for a curve to be rectifiable between two points.Question 5 Find the point(s) of intersection of the curves r = 10 and r = 20cos e. OA. ^ (10.5) 3 08 (10.5)(10.- 5) 10,- 3 3 OC. 10, 4 10, 4 (10.5)(1 (10,7) OD. 10, - OE.
- -6 -4 -2 -2- -4 -6- --8- -10- -12 14 4 6 8 10 a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the interval [0, 2]. b) Connect the points with a line segment. c) The Average Rate of Change over [0, 2] isFind the normal to the curve y = 1 - x ^ 2 at the point (3, - 8) .Construct two different parameterizations of curves which connect (0, 1) and (1,0).
- A curve passes through the points (0, 18), (1, 10), (3,-18), and (6, 90); use Lagrange interpolation method and find the slope of the curve at x=2; Correct your results to five decimal places.a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t, where x is the horizontal direction and y is the upward direction. the projectile lands after a. 16 seconds b. 8 seconds c. 4secondswith the toe point Write the equation of the cone (1,2,3) and the rectification curve sint, 2=0} fx = cost,y= sint,2=0}
