Reflect AABC across the x-axis. Label the new image, AA'B'C' and list the coordinates below. x-axis rule: (x, y) → ( , ) A: B: C: A': B': 2. C':

Q: X =. Vy, x = -y,y = 2 about the x-axis

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Q: The temperature at the point (x, y) on a metal plate is T(x, y) %3D x2 + y2 Find the direction of…

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Q: Find the acute angle between the curves y = (/3)x3, and y = (/3)/5 x at the point of intersection…

A: The given curves are y=3 x3 and y=35x=15x and the point of intersection of the two curves are P1, 3.…

Q: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

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

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Q: 12) In the diagram below, Jose found the centroid P by construct medians. He measured CF and found…

A: Here P is the intersection point of median which is known as Centroid  of the triangle ,

Q: Find the distance between the point and the plane.

A: The distance of a point from a plane in the standard equation form is equal to . The given point…

Q: H = (x – y)a, + (x² + zy)a, + 5yza, uate ſ, H · dl along the contour of Figure 3.28. 0.

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Q: Find the equation of the tangent plane to +y? at the point (2,-2,5) the surface z= 4 O r + 4y - % =…

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Q: 4.) y = VT, y = 3, x = 0 around the y axis %3D

A: Given, y = x1/2, y = 3, x = 0, we have to find the volume by rotating about the y-axis.

Q: y = x², x = 1, y = 0; about the y-axis

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Q: b. The curve y = cosx ,y 0, x = - and x=

A: Solution Question 26 b Given, The curve y = cosx  We have to find the area of region bounded by the…

Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Evaluate (x+ y)ds where C is the straight-line segment x = 3t, y = (12 - 3t), z = 0 from (0,12,0) to…

A: We need to evaluate the integral along the given line. First eliminate the parameter t.

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: .2 y = z, -2 < z < 2 %3D (x - 2)² + 4y2 = 4

A: (b)  The given equation is y=z2, -2≤z≤2. Observe that y-coordinate will always be positive and…

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: The temperature at the point (x, y) on a metal plate is T = x² + y2 Find the direction of greatest…

A: The temperature at point (x, y) is given by: T=xx2+y2 To find the direction of greatest increase in…

Q: Plot the portion of x² +2²=9 above the xy-plane and between y = 1 and y=5. Make sure you use the…

A: Any point on the three dimension can be represented by the coordinates: x, y, z.

Q: Find the distance from the point (−5,2,−3) to the (a) xy-plane (b) xz-plane (c) yz-plane (d) x-axis…

A: We know that distanced of xy-plane from the pointx0,y0,z0 is given by d=z0…

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

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Q: find the volume of the solid

A: Given:y=x, y=2x and y=6, about the y-axis.Graph of the function is

Q: Find the distance from the point (2, 0, 0) to the plane x + 2y + 2z = 0.

A: Given a point, (2, 0, 0) and the equation of the plane x + 2y + 2z = 0.

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: The coordinate axes partition the xy-plane into four sectionscalled ____________.

A: The coordinate axes partition the xy-plane into four sections called:

Q: Give an equation for the tangent plane to x2 + y + z? = 101 at the point (-2, 9, 4). = 0.

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Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find a parmetric equation that describes the entire set of points (x,y) such that 4x2-9y2=36

A: The given curve can be represented in a different manner as shown on the whiteboard.

Q: Parametrize the intersection of the surfaces using trigonometric functions. y2 - z? = x - 7, y² + z?…

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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: Find the coordinates of the point where the line F = (1+21)î + tĵ – 2tk intersects the plane 2x – y…

A: Let's find.

Q: a) Sketch (hand drawn) the intersection of y? + z² = 25 and x = 3 in 3D. b) Also, describe the the…

A: When two surfaces intersect each other, a new curve is formed. The curve is referred to as the curve…

Q: Evaluate |-y dx+x dy , where C consist of the curves along the horizontal line from (-4,4) to (-2,4)…

A: The given integral is: ∫C -ydx+xdy Where C consists the curve along the horizontal line from -4,4 to…

Q: e point on the plane x+y+z:

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Q: Find the parametric equation for the line where the planes 4x – by + 8z = - 36 and – by + z = – 15…

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Q: coordinates

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Q: Jy (a, b)? b.) Determine for what points g(x, y) = x – 2 In|x + y| is differentiable.

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Q: Find the distance between the point and the plane. (0, 0, 0) 2x + 6y + z = 12

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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: y = mx + b is called the v ---Select--- rm of the equation of a line. standard Additional Materials

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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: Sketch the plane curve. r(t) = t?i + 2tk, [0, 2]

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Q: Evaluate (x - iy) dz along (a) the parabola y = 2r? from (1, 2) to (2, 8),

A: In the given problem we have to evaluate  ∫C(x2-iy2)dz  along the parabola  y=2x2 from (1,2) to (2,…

Q: Sketch the surface given by the function. z= 9-x?-y? 2x -2 2x

A: Answer

Q: y = x2, x = 5, y = 0; about the y-axis 25 %3D V =

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Q: Find an equation of the tangent plane to the surface z = y? - x² at the point (-4,5,9).

A: Finding partial derivatives with respect to x and y for finding plane equation.

Q: The surface given by z = x² – y? is cut by the plane given by y = 3x, producing a curve in the…

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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.