True or False: The composition of an isometry and a projection is an isometry.

Q: simple contour that is not closed can cross itself. True or false ?

A: Answer is true

Q: Does the Divergence Theorem apply to surfaces that are not closed?

A: By Stokes' theorem:

Q: A model of an object is made of two geometric figures. Which object can best be modeled by a…

A:

Q: Who is correct? A figure on a coordinate plane is dilated. The image is larger than the pre-image.

A: Given , A figure on a coordinate plane is dilated . The image is larger than the pre - image . We…

Q: Sketch the space curve represented by the intersection of the surfaces. x² + z? = 16, x - y = 0 A…

A:

Q: In some designs of eyeglasses, the surface is "aspheric," meaning that the contour varies slightly…

A:

Q: True or False: A diameter is not a chord because it goes through the center. True False

A:

Q: A bridge is built in the shape of a semielliptical arch.The bridge has a span of 60 feet and a…

A: A bridge is built in the shape of a semi-elliptical arch. The bridge has a span of 60 feet and a…

Q: What is the shape of the horizontal cross section of this solid figure? O triangle O trapezoid O…

A: Topic:- cross section of a cone

Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: (a) The orthocentre is the point where all the three altitudes of the triangle cut or intersect each…

Q: Describe the transformation rules that map Circle F onto Circle F'. Translation rule: (x, y) -->…

A: We have to find dialtion

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

A: Use reflection rule

Q: the trapezoidal rule with

A: In this question, the concept of the Trapezoidal rule is applied. Trapezoidal rule One of the key…

Q: Find a parametric description of the line segment with endpoints P(-1,3) to Q(3,-2)

A: The line segments with endpoints P(-1,3) to Q(3,-2)

Q: radiation is focused to an unhealthy area in a patient’s body using a semi elliptical reflector,…

A: Given that width of the reflector=100cm          And height of the reflector=30cm Here the foci lie…

Q: The centroid of a triangle is a point of trisection of each of its medians. True or False?

A:

Q: Find the lines curvatures, the first and second fundamental forms of the surface: the surface

A: As per the question we are given a surface. And we have to find its first and second fundamental…

Q: ) I would need help wit

A: 22. Given,                4y2+z2-x-16y-4z+20=0

Q: Eevery comPact and Ta- SPace is Tus Pa ce

A: Let us prove this theorem.

Q: What are the coordinates of the image D(0.5, R)(1, 3) where R(–3, 5) is the center of dilation?

A: What are the coordinates of the image D(0.5, R)(1, 3) where R(–3, 5) is the center of dilation?

Q: Surface at θ = 40⁰ and r = 20 is a     plane    cirlce   cone

A:

Q: Radiation is focused to an unhealthy area in a patient’s body using a semi-elliptic reflector,…

A: The position of the elliptical reflector is placed  such  that it contains the one of the focus and…

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: 2. 4x2 – 25y² – z² = 100 -

A:

Q: What relationship do you see between the segments of the median that are formed by the centroid?

A:

Q: Give a geometrical interpretation of torsion.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Prove that the locus of the point of intersection of two tangents to the parabola y? = 4ax, which…

A:

Q: -What 3D image is below?

A: Given image is a 3d image. In geometry, a tetrahedron is also known as a triangular pyramid.  It has…

Q: What is the definition of a parabolic cylinder?

A: The parabolic cylinder functions are the solutions to the differential equation d2ydx2 + ax2 + bx +…

Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

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: Give a parametric description for a sphere with radius a, includingthe intervals for the parameters.

A: We will use the spherical coordinates for parametrization. Where ρ= radius= a And,

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

A: To sketch the function

Q: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

A: Given : A circle is specified in parametric form by  x=7+3 cosθy=-8+3 sinθ To Find : What are the…

Q: Radiation is focused to an unhealthy area in a patient’s body using a semielliptic reflector,…

A: The width of the reflector is 100 cm. The height of the reflector is 30 cm.

Q: Prove convexity of an ellipsoid in Rn

A: Let us take two points of ellipse joining a line which lies in the domain of ellipse which means…

Q: Incentre of the triangle formed by common tangents of the circles x2 + y2- 6x = 0 and %3D x2 + y2 +…

A: Draw the figure:

Q: Why area of plane regions is important? What is the use of area of plane regions for our daily…

A: Area of plan region is Very important by this we can find actual dimensions of things. And perform…

Q: Describe the usual orientation of a closed surface such as a sphere.

A:

Q: The figure shows a plain slicing through a cone. The plane is neither parallel or perpendicular to…

A: Since the cut is neither parallel or perpendicular to the base of the cone. It is obvious that the…

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: Part 1 of 8 By re-ordering the sphere equation, we have z- 100 - - y, We can then parameterize this…

A: We have to parameterize the given equation z2 = 100 - x2 - y2.

Q: The Weingarten map is also called the shape operator. Why does this name make sense? What does the…

A: To Explain: what does the name Weingarten map make sense and what does it tell us about surface .

Q: (a) What are hypersurfaces? Explain why higher-order hypersurface cannot be rfaces drawn. How will…

A: In the question it is asked to define hypersurface. Also asked to given reason for "higher-order…

Q: What is a flat surface that extends infinitely in all directions?

A: Plane.

Q: For some surfaces, the normal lines at any point pass through the same geometric object. What is the…

A: To explain common geometric object.