Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

Q: Evaluate I = f(sin z + 5y) dx + (3x + y) dy for the nonclosed path ABCD in the figure. I D B A=…

A: ∫Csinx+5ydx+3x+ydy A=0,0, B=2,2, C=2,4 D=0,6

Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

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Q: ) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a…

A: Write L1 in Cartesian form. Then find its slope or gradient then use it to find the slope of the…

Q: The temperature in an auditorium is given by T = x² + y² z. A mosquito located at (1,1,2) in the…

A: We have to use directional derivative  and direction of maximum change .  direction of maximum…

Q: 20b. Find the coordinates of A' after A(-3, 4) has been reflected: Reflection in the x-axis: A'= I…

A: To find the reflections

Q: the center and radius for each. z' + y? = 49 +y? = 324 2² + (y + 2)° = 64 (x+ 2) + y? 64 (z – 5) +…

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Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

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Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

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Q: Evaluate I = f(sin x + 2y) dx + (8x + y) dy for the nonclosed path ABCD in the figure. - D с B A =…

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Q: THE FIND VIt) AND V(0) = -2, POSITION EQUATION S/E) GIVEN alt) = St² + 2t, AND S (0) = 6.

A: To find velocity equation  and the position equation ,  given that , and .

Q: . (a) Let C be the line segment from a point (a, b) to a point (c, d). Show that -ydx + xdy = ad –…

A: It is given that,  C is the line segment from a point a,b to a point c,d. Now, combining it with…

Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Find the value of the linear correlation coefficient r. x 57 53 59 61 53 56 60 14) 14) y 156 164 163…

A: Given data, X Y X*Y X*X Y*Y 57 156 8892 3249 24336 53 164 8692 2809 26896 59 163 9617 3481…