Let F(x, y) = (2xy+ y2, x² – line from (0, 1) to (2, 3) followed by the straight line from (2, 3) to (1, 1). Then F dr 2xy3) and let C denote the straight - O a) 2 O b) None of these c) – 2 d) 0

Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

A:

Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

A:

Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

A:

Q: D, E, F

A:

Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

A:

Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

A: The given equations are in parametric form. To find x-intercept put y=0 and get the value of…

Q: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…

A: Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x∗1 , y∗1 ) and (x∗2 , y∗2…