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

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = 1/(x2 +…

A: A function is symmetric with respect to the y-axis if f(x)=f(-x). Such a function is also called an…

Q: The distance from (6,-5, 1) to yZ-plane is OA 6 /26 OC 1 O D. 62 OE 5 В.

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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: Graph the curve r = 1 - cos θ in the Cartesian xy-plane

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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: Use the IVT to prove that the curves y = x2 and y = cos x intersect.

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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: 2 cos(2x) dx, n = 4 J1

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Q: Use the previous exercise to write the equation of the circle ofradius 5 and center (3, 4) in the…

A: Standard form of a equation of a circle whose center is (h, k) and radius is r is, x-h2+y-k2=r2

Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

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

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

Q: Construct the bisector of XY.

A: According to our guidelines we can answer only first question . Kindly re-post other questions . (1)…

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

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

Q: Find the linear approximation at x = 0 to Write %3D 2- your answer in the form y = Ax + B. %3D

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

A: Use reflection rule

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: Find three different parametrizations of the graph of y = x3.

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 2.

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Q: Determine the location of a point (x, y, z) that satisfies the condition y < 0

A: With the given condition there are 4 scenarios 1) x>0,y<0,z>0 2) x<0,y<0,z<0 3)…

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: o. Arctan (z, +z,) p. Arcsinh (za - z,)

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Q: solid that results when R is revolved about the y-axis.

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Q: Evaluate [. 2y² + 4z² ds, where o is the first octant portion of a cone z = x² + y2 with height of…

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 2z = 9.

A: Here we fnd the cosine of the angle between the planesx+y+z=0 and x+3y+2z=9

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

A: Given, z=9-x2-y2

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

A: We know that cosine of angle between plane a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 is given by

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: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: y = VT, y = 2 - x and r O about the x-axis?

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Q: c. Based on the orientation of your rectangle would we integrate with respect to x or y? С.

A: Follow the procedure given below.

Q: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: Distinguish briefly the Parametric and non-parametric analysis

A: There are two types of analysis in the testing of the hypothesis. they are: 1) Parametric analysis.…

Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

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Q: Find the length of the spiral r = O for 0 < 0 < 4. %3D Answer :

A: Given : Polar function for a spiral r = θ and interval 0≤θ≤4   To find : Length of the spiral for…

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

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Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: Find the acute angle between the 5x + y = 3 %3D 6x - y = 6 %3D

A: Here we have to find the acute angle between the lines,  The given lines are,

Q: Y. What is the mZWXY?

A: ∠WXY=∠WBY/2∠WXY=72°/2∠WXY=36°

Q: Derive the De Moivre's Theorem?

A: The De Moivre’s formula or De Moivre’s Theorem states as: cosx+isinxn=cosnx+isinnxwhere i is the…

Q: On the surface z =, in what direction is z increasing most rapidly when x =1 and y = 2.

A: A function z=f(x,y) increases most rapidly, at a point (a,b) , in the direction of the gradient…

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

A: Here we have to find the,

Q: х2, у3D 12 — х, х 3D 0, around line y — -2

A: the function given to us is y = x2 and the line about which it revolves is y = -2 we have to use the…

Q: z=r^2+2r

A:

Q: The domain of ƒ(x, y) = In xy is points .(x, y) in the first quadrant

A: We have to tell about given statement.

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…