ocate the centroid of the shaded area enclosed by the curve y2 = ax  and the straight line shown in the figure

Q: Define parametrization.

A: Parameterization is the process of finding parametric equations…

Q: Determine the centroid of a cross section with an isosceles right triangle of base 9 cm, a…

A: Determine the centroid of a cross section with an isosceles right triangle of base 9 cm, a…

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

A:

Q: Identify the surface for z=r^

A: Given z=r2

Q: find a parametrization of the curve. The line passing through (1, 0, 4) and (4, 1, 2)

A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.

Q: The area of the surface obtained by rotating the curve x = 1sys7 about the x-axis is

A: Definition used -              Area of the surface obtained by rotating the curve x=g(y) about…

Q: Find the area of the ellipse x^2+14 x y+245 y^2=4 by using a suitable transformation that maps to…

A: Given equation is, x2+14xy+245y2=4 The equation can be written as,…

Q: Find the area of the cap cut from the paraboloid y^2+z^2=2x by the plane x=2

A: To Find: Area of the cap cut from the paraboloid y2+z2=2x by the plane x=2.

Q: Explain the concept and provide an example of Parametric and Nonparametric tests.

A: Introduction - Two types of hypothesis testing Parametric test Non parametric test  Parametric…

Q: Which variable in an experiment determines whether to use parametric or non parametric procedures?

A: There are two types of statistical tests which are appropriate for continuous data.1. Parametric…

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

A:

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

A:

Q: tangent plane at the point (-2,1 – 3)

A: Equation of the tangent plane = dfdxx-x0+dfdyy-y0+dfdzz-z0 Let f=x24+y2+z29-3 (given)

Q: draw vertical and horizontal traces to identify the surface y = x^2 + 9z^2

A: The graph of the given surface is

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 the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Sketch the surface of f(x,y)

A: To sketch the function

Q: Does the plane x = 5 have a trace in the yz-plane? Explain.

A: Given: The plane is: x=5 We have to determine the given plane is trace in the yz-plane and explain