Show that (-6,0) -10,-1) independent of path: af |ss|8 dy ag əx = = (-6,0) (-10,-1) (-6,0) (-10,-1) fdx + gdy = f - · (24x²y³dx + 24y²x³dy) : = (24x²y³dx + 24y²x³dy) is

Q: the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Q3) Determine slope of a curve y = x + 2 at p(1,3) and q(3,11)

A: Slope of a curve : The slope of a curve y=f(x) at a point P is the slope of the tangent at that…

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: line squares I will always pass Show that the least Y = B₁ + B₁²³ Bx through the time point (5,5).

A: The given least square line is y=β^0+β^1x.The objective is to show, the line of y=β^0+β^1x passes…

Q: Find eqation of line through the point (4,2,1) and (0,4,2)

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

A:

Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

A:

Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

A:

Q: The graph of the linear equation r=y passes through the point: O (4, 4) O (4,0) O(0,-4) O (4,-4) O…

A: Given equation  x=y

Q: The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and…

A: Linearity x y xy x2 y2   4 6 24 16 36   2 4 8 4 16   3 6 18 9 36   5 8 40 25 64   2 5…

Q: find the orthogonal trajectory of у^2-Сх^3-2

A:

Q: Find the equation of the line perpendicular to the lines x-1 x+1 쯤 and 1 and 2 == 2-1 2 2 4 3 = y-1…

A: (x-1)/2 = (y-1)/2 = (z-3)/2  And (x+1)/4 =y/3 =(z-1).

Q: Find Vf(a), given the following data. Calculate 91, 92 and g3 such that Vƒ(a): 91 92 93 = || || = 91…

A: The given problem is to find the grad f for the given data of directional derivative of function f…

Q: 11. A drone starts at (3, 1, 4) and flies in a straight line in the direction of (-2, 3, 1). (a)…

A: Topic - Lines in 3-d. We are given that A drone starts at (3,1,4) and flies in a straight line in…

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

A:

Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy…

A:

Q: Determine where the line y=6x +3 cuts y-axis A (-1,0) (-2,0) (+1,0) (-3,0) В (0,0) (0,–1) (0, +1) C…

A:

Q: Suppose there are two lines in the xy-plane in R^2.  These two lines could intersect at a single…

A: let the lines be                              y=m1x+c1y=m2x+c2 given that lines are intersecting in…

Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

A: