Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

Q: Obtain the value of skewness of the variable landfill and the value of kurtosis of the variable…

A: Given:n=30Variable-LandfillMean=102.2666667Median=79Mode=30Standard…

Q: Explain why the curve of intersection of the surfaces x2 + 3y2 − 2z2 + 2y = 4 and 2x2 + 6y2 − 4z2 −…

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Q: _nteger?)

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Q: area of trapezoid b1=5,b2=7,h=4

A: detailed solution is given below

Q: What are the new coordinates of the point (-5, 25) under the dilation (x, y) - (2x, 2y)? O (-10,…

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Q: Sz sec2ysin4ydy

A:

Q: 2. Perpendicular to y = x+ 2, passes through (0, 0) Vork

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: bounded by the curve f(x)= Vx-1, y-axis, line y =1 and line y =

A: We will find the area bounded by the curves.

Q: What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?

A:

Q: Plot the points 12, 02, 12, - 32, 12, 42, 12, 12, and 12, - 12. Describe the set of all points of…

A: Given points are, 2, 0, 2, -3, 2, 4, 2,1 and 2, -1

Q: What is the total length of the curve of intersection of the surfaces x2 + y2 + z2 = 4 and y2 + 2z2…

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Q: What is Bimodal?

A:

Q: Determine whether the points are coplanar.(−4, 1, 0), (0, 1, 2), (4, 3, −1), (0, 0, 1)

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Q: A right triangle is formed in the first auadrant by the x- and y- axes and a line through the point.…

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Q: Determine whether the points are coplanar.(0, 0, −1), (0, −1, 0), (1, 1, 0), (2, 1, 2)

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Q: A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one of…

A: To find the dimensions to obtain minimum fencing

Q: Point (x ,y) distance from Q А (5,5) (2,3) (1,1) V20 В 1 C 6. A 5

A: Given: A(5,5) B(2,3) C(1,1) AQ=20 BQ=1 CQ=2

Q: Find the minimum distance from point (2, 5, -1) and plane 3x + 4y + z = 10.

A: Given query is to find the minimum distance.

Q: Find the orthogonal trajectories of the family of circles with center at the point (0, 1) and radius…

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Q: Differentiate, and make sure to show all your work: y = exin(2z) %3D

A: The given question is taken from the derivative of the function in which we have to find the…

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O…

A:

Q: A rectangular pen is built with one side against a bam. # 200 mof fencing are used for the other…

A: Given: A rectangular pen is built with one side against a barn.

Q: A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic meter. What…

A: A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic meter. To…

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: 2. A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one…

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Q: Evalvate using Partial traction

A:

Q: Determine the equațion of a line that is perpendicular to y=x+5 that goes through the point (5,-2)…

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Q: Integrand: /, V ** ds

A: Given,            ∫123s2+s3s2ds

Q: A rectangular field of fixed area is to be enclosed and divided into five lots by parallels to one…

A: Given: A rectangular field (having area fixed) divided into 5 parallels lots to one of its sides.…

Q: Determine whether the points are coplanar.(−3, −2, −1), (2, −1, −2), (−3, −1, −2), (3, 2, 1)

A:

Q: Parameterize the line of intersection of the surfaces: x2 - y2 = z - 1 and  x2 + y2 = 4

A: Given equations of surfaces are: Rewriting the second equation:

Q: A line pases through the point (-2,1) and is paralle to the line 2x+y=1

A: Solve using the concept of parallel lines

Q: Line A goes through the points (0,3) and (5,-1). Plot another point other than point B with integral…

A:

Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: Two sides of a square lie on the lines x + y = 1 and x + y + 2 = 0. What is its area?

A:

Q: What are the new coordinates of the point (-10, 10) under the dilation (x, y) (4x, 4y)? O (40, 40) O…

A:

Q: Describe the properties of cross product.

A:

Q: How to use the trapezoidal rule to approximate distance travel?

A: The trapezoidal rule is used to estimate the area under the curve. The expression for the…

Q: 1. A rectangular field of fixed area is to be enclosed and divided into three lots by parallels to…

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: Differentiate: y%3Darcsin Vx²+4

A: The solution of the problem is given in the next step.

Q: use intergration by parts intergral x(x-6)5dx

A:

Q: What are the new coordinates of the point (3, -4) under the dilation (x, y) (0.25x, 0.25y)? O (3,…

A: We have to find the new coordinates of the point (3,-4) under the dilation (x, y) ----> (0.25x,…

Q: Define X intersect Y. How is the intersection of X and Y denoted?

A: The intersection of two sets means that the set of elements that are common to both sets. The…

Q: ional derivat at point (-1,

A:

Q: Two sides of a square lie on the lines x+y= 1 and x+y+2 = 0. What is its area?

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.