What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

Q: WY is a midsegment of AUVX. If UV = s + 49 and WY = 4s, what is the %3D %3D value of s?

A: Midsegment of a triangle is a segment formed by joining the mid-points of any two sides. Such a…

Q: 9. Find the angles at which the curve y =x - x intersects the x-axis.

A: Given: The curve y=x3-x intersects the x-axis

Q: he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

Q: Find a parameterization for the line segment joining points (0,3) and (12,0) using the angle 0 in…

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Q: Find the exact length of the curve. y = In(sec(x)), Osxs n/4

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Q: Use Eq. (5) to find the point P nearest to Q = (2, 1, 2) on the plane x+y+z=l.

A: Consider the provided information, Find the point P. The normal vector to the plane is 1,1,1. And…

Q: Ir te line x34+2¢, もー4t paralled he plane 3x +y+そこ子-

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Q: Describe the image of the line z = 1 + iy under the map flz) = sin z %3D

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Q: Find the orthogonal compliment to S span{ 0 }. ||

A: To find the orthogonal complement to S spanned by two vectors .

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: Show that [(x- y) dx + (x – y)' dy] = 3ra" taken along the circle x +y =a° in C the counter…

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Q: 4. y = x2--Inx x = 1 ve x = e

A: Topic- application of derivatives to find angle between curves

Q: What is the ALGEBRAIC RULE for REFLECTION over the y-axis? (х, у) —

A: Use reflection rule

Q: Evaluate f z²dz where C is the contour |z| = 2-

A: We can directly use cauchy Goursat theorem to give the value of the given integral about given…

Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: The acute angle between the planes x + y = 1 andy + z = 1. Use the cosine definition of the dot…

Q: Sketch a contour diagram for f(x, y) = x2 − 2y2 with three labeledcontours.

A: To sketch the contour diagrams for the given function of two variables

Q: When is An angle in the xy-plane is said to be in standard position?

A: An angle is in standard position if its vertex is located at the origin and one ray is on the…

Q: Evaluate F- dr where F(, y, z) = (1.5yz cos(ryz), 1.5xzcos(ryz), 1.5xy cos(ryz)) and C (*) is the…

A: We need to evaluate the line integral between the two points.

Q: The distance from a point P1(x1, Y1) to the line ax + by +c = 0 is laxi + by, + c] Va? + b2 Use this…

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Q: b) Find the shaded area of diagram that shecked by curve y =x² + 2x and the line y

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: What is the ALGEBRAIC RULE for a REFLECTION over the x-axis? (х, у) —

A:

Q: Sketch the surface given by the function. z = 9-x?-y?

A: Given, z=9-x2-y2

Q: Evaluate the line integral 2ydx + 5xdy where C is the straight line path from (1, 2) to (6, 5). Г…

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Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: The temperature at the point (x, y) on a metal plate is x² + y? " Find the direction of greatest…

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Q: 2. Approximate f,(3,5) using the contour diagram of S(x, y) in Figure 14.9.

A: Given query is to find the value of fx(3,5).

Q: Find the acute angle between the planes x = 7 and x + y + √2z = -3.

A: Acute angle between two planes a1x+b1y+c1z+d1=0 and a2x+b2y+c2z+d2=0 is,…

Q: at.p.(I,.0)..and. the directiun. in. whichit.occurs

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Q: The distance between the two lines x = 1+ t,y = -2+ 3t, z = 4 – tand x = 2s, y = s, z = s is

A: Please see the explanation below

Q: C is the part of the circle of radius 3 in the first quadrant from (3,0) to (0,3) and F = (1, -y),…

A: Given, C is part of circle of radius 3 in the first quadrant from (3,0) to (0,3) and F=[1,-y] The…

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e2z dz =

A: we have to find integration

Q: Rule: (x, y) → ( Reflection: Across Line y = x

A: Actually the rule of reflection along y=x is simply writing the points (x,y) as (y,x). See for the…

Q: Find the curve length 1 +2)?,0< y < 4 %3D 3

A: Given that, the function is x=13y2+232 and the interval is 0,4. Note that, the arc length of the…

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

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Q: . What happens when we multiply x by a number between O and 1? . In order to obtain a reflection…

A: Given query is to provide information regarding effect of multiplying and reference for a function.

Q: Find the exact length of the curve. y = In(sec(x)), Osxs- 6

A:

Q: Find the angle between the curve 2y = e – x/2 and y – axis

A: Given the curve 2y =e^(-x/2) and y-axis We have find angle between curve and y-axis

Q: Find Ja xydx + sin(x)ydy, where C is the boundary of the triangle with vertices (0,0), (0, 1) and…

A: Let I is the value of given Line Integral.

Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

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Q: O whion of the line: y--2x+8 Poliowing line5 ave perpendicular to this. B. ut

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Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: What is the equation of the plane that is tangent to the graph of z = x coS y – ye“, when (x, y) =…

A: Equation of the plane tangent to the surface z=f(x,y) :               Let   F(x,y,z) =0 ,then…

Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of…

Q: "ind the orthogonal compliment to S = span{

A: Here we have to find the,

Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

A:

Q: 23/ Find the angle between two curves: 3 y = 2 - x² , y = x²

A: The angle between two curves is given by the formula tan θ=f2'x0-f1'x01+f1'x0f2'x0 Given,…

Q: .Angles measured counterclockwise from the positive x-axis are assigned positive measures.True or…

A: Angles measured counterclockwise from the positive x-axis are assigned positive measures. True or…