Trlangle XYZ Is dilated using the orlgin as the center of dilation to create triangle Xx'Y'Z. What rule best represents the dilation applied to triangle XYZ to create triangle XYZ'? (x. y) (3x, 6y) (x. y)→(6x 3y) (x. y) (3x, 3y) (x. y) (6x, 6y)

Q: Find the distance between the point (0,0,0) and the plane 2x – y + 2z = 4

A:

Q: Find the surface area of z=x2+y above the triangle with vertices (0,0),(2,0),(2,2)?

A: The surface area of a function z=f(x,y) over a region D is given by: Surface Area= ∬D ∂z∂x2+∂z∂y2+1…

Q: find fue area oy region R enclosed by Curves yexs and y=X= please Show yor working

A:

Q: Plane R is tangent to sphere 0 at point T. How are radius OT and plane R related?

A:

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

A:

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0). (x, y, z) (smaller…

A:

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y =x,…

A:

Q: Find the points on the cone  z2 = x2 + y2  that are closest to the point  (2, 2, 0).   (x, y, z)…

A: Given,

Q: Find equation of line normal to plane 3x + 2y- z = 5 and pass through Drigin point.

A:

Q: Find the points on the cone z = x + y that are closest to the point (8, 2, 0) (x, y, z) (smaller…

A:

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Surface at 0 = 30° and r = 10 is a.. Cylinder Cone Circle Plane

A: Solve

Q: A point moves along the intersection of the elliptic paraboloid z = 3x² + 5y² and the plane y = 4.…

A: We are given the curve Z=3x2+5y2 and y=4   Now we know that the rate of change is simply derivative…

Q: The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are…

A:

Q: A region R consists of a square bounded by the lines x = -1, x = 1, y = 0, and y = -2 and a half…

A: The given region is as follows: The area of region is  A=∬RdA  =Area of semi-circle of radius…

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (8, 2, 0). (x, y, z) =…

A: Here we use partial derivatives to solve this problem.

Q: Point W is the centroid of triangle TRV. VX = 204 and RW = 104. The length of RY = ____.

A: We have the given triangle as It is given that Point W is the centroid of triangle TRV. VX = 204 RW…

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r=2θ, 0≤θ≤4.5…

A: Given that  r=2θ, 0≤θ≤4.5 To Find the area enclosed by the closed curve obtained by joiningthe ends…

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x – 8y + 40 = 0,…

A: Detail solution written below

Q: A line segment bounded by two points (0,0,0) and (2,2,0) is rotated about the y-axis by 270 degrees.…

A: We will first parametrize the line as a function of t , then with the help of rotation (u) matrix we…

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

Q: Find the distance between the point (0,0,0) and the plane 2x – y + 2z = 4.

A:

Q: The plane tangent to the surface z+1= ze" cos z at (1,0,0) can be represented by the equation Z= 1.…

A: As per our guidelines, we are allowed to answer only one question. Since you have posted multiple…

Q: Evaluate the line integral $ x*dx + xydx where C is the triangle with vertices at (0, 0), (0, 6) and…

A: Given Line Integral is ∮x4dx+xydy , where C is a triangle with vertices at (0,0), (0,6) and (6,0)…

Q: Determine the area of the right half of the cardioid formed by r = 8 +7 sin 0 16 14 12 10 8 6 4 -2…

A: The formula to find the area is, A=∫ab12r2dθ Since it is been asked to find the area of half of the…

Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Evaluate the line integral | (x + 3y + )ds, where Cis the line segment joining the origin with the…

A:

Q: Find the points on the cone z = x + y2 that are closest to the point (8, 2, 0). %3D (x, y, z) =…

A:

Q: A point moves along the intersection of the elliptic paraboloid z = 2x? + 7y² and the planex = 4. At…

A:

Q: Find a parameterization for a circle of radius 4 with center (-4,4,-6) in a plane parallel to the yz…

A:

Q: Find volume y=3x^2, x=1, and y=0 about x axis

A: y=3x^2, x=1, and y=0 about x axis

Q: Find the points on the cone z + y that are closest to the point (2, 2, 0). (x, y, z) = (smaller…

A: We have to find the closest points near to the point (2,2,0).

Q: Show that the area of the plane region bounded by the curves,  x=y^2 -1,  x= 1 - y^2  is 8/3 square…

A: Given equation of cyrves, x=f(y)=y2-1,x=g(y)=1-y2

Q: Determine the area of the surface of revolution of x=sqrt{y} from (1,1) to (2,4), rotated about the…

A: The equation is x=y.   Determine the derivative dxdy=12y   The formula for the area of surface…

Q: Region Ris enclosed by the curve y = 2 Vx – 3, the line y = 4, and the line a = 3. y = 2/z – 3 y = 4…

A:

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y =x,…

A:

Q: Find the points on the cone z = x + y that are closest to the point (2, 2, 0)- (x, y, z) = (smaller…

A: Given , z2=x2+y2 and a point (2,2,0) We need to find the closest point Distance formula…

Q: Calculate the volume under the elliptic paraboloid z=3x2+7y2 and over the rectangle R=[−2,2]×[−4,4

A: Explanation: We know that,  Volume =∬zdydx By using the double integral concept, the volume of the…

Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 and 2r + y -…

A: The equations of the two planes are: 3x-6y-2z=152x+y-2z=5 As, 5,0,0 satisfies the equation of plane…

Q: The arc y=2 sqrt(x) from x∈[4,16] is rotated about the x axis. Find the exact surface area…

A:

Q: Consider the region in the first quadrant bounded by y=x^2, the y-axis, and y=4. -the y-axis using…

A:

Q: What does parseval's identity imply about relationship between the dot products x · y and [x]ẞ·…

A: Concept: A branch of mathematics which deals with symbols and the rules for manipulating those…

Q: OFind the aquahon of the Hangent to the at point Lircle X2 +8Xt PCI,3)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the line integral 3xy ds where Cis line Segment Joining (-5,7) to (3,1) the

A: Introduction: A line integral in calculus is an integral where the function being integrated is…

Q: Find parametrization of the horizontal circle of radius 4 with center (5, -2, 6). r(t) = %3D

A:

Q: Point W is the centroid of triangle TRV. VX = 204 and RW = 104. The length of VW = ____.

A: Triangle Question

Q: What are the new coordinates of the point (18, 8) under the dilation (x, y) → (1.5x, 1.5y)? O (32,…

A: Given the co-ordinates (x,y)=(18,8)

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: Given that, the cone is generated by revolving the line segment  y = 53x,  0≤x≤4, about x-axis.