Where an Interior point Exists?

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

A: Answer is true

Q: A circle centered at the origin with radius 12, generated clockwise with initial point (0, 12)

A: For a circle in standard form (x-h)2+(y-k)2=r2, its coordinates in polar form can be written as…

Q: The exact value of the curvature of ƒ(x)=arcsin x when x= , can be expressed as the product of a/b…

A: Given,               f(x)= arcsin xDifferentiating both sides with respect to x…

Q: ).Derive the expression for torsion formula of a circular bar?

A: Torsion formula, the geometrical property of a bar's cross section which is involved in the axis of…

Q: The VVF Ct)= describes a helix. Find the tangent line to the helix at the point (0, 1, "/2).

A:

Q: Give a parametric description for a cone with radius a and heighth, including the intervals for the…

A: We can parameterise the same as following: Assume s & t as two parameters radius = a and height…

Q: There are exactly two tangent lines from an exterior point to a circle. True or False? O True O…

A:

Q: Describe the interual(s) on which the funchion is continous. %3D XA

A:

Q: Use transformations to show that circle A with radius r is similar to circle A' with radius r'. A'

A: .

Q: Derive the expression for torsion formula of a circular bar?

A: Torsion of a circular bar ⇒ A member or shaft is said to be under pure torsion when it is subjected…

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: Give a parametric description for a cylinder with radius a andheight h, including the intervals for…

A:

Q: o. Arctan (z, +z,) p. Arcsinh (za - z,)

A:

Q: Find the distance between the points (2, -- and (F,5 Distance- Preview(Round your answer to two…

A: Formula for calculating the distance between two points (x1,y1) and (x2,y2) is the squareroot of…

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

A:

Q: Write a parameterization for a circle of radius 4 centered at (1,0) starting at (5,0). Describe…

A: Parametric equation of circle

Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Given- y = c sinx To find- Identify the curves that intersect the curves under a right angle.

Q: Give parametric equations that describe a full circle of radius R, centered at the origin with…

A: The general parametric equations for circle which has center at (0,0) and radius R orientated in…

Q: The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of…

A: ANSWER: TRUE

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

A: Solve

Q: Find an arc-length parametrization of the line passing through (1, 0, 1) and (1, 2, 3). Upload an…

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: A circle of radius 3 centered at the origin.

A: Solution -    General equation of a circle is given by -  x-h2+y-k2=r2where, (h, k) = center of the…

Q: . Consider point (a, b) on the graph of y = Inx and triangle ABC formed by the tangent line at (a,…

A:

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: z = tan (VZn + Ze

A:

Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from he base…

A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.

A: Straight lines in spherical plane are the great circles. So, any two different lines meets at two…

Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: Chebyshev's theorem is used when there is a bell shaped curve

A: Chebyshev's theorem is used when we want to find the the upper bound  of the probability. And they…

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: How do you measure distance along a smooth curve in space from a preselected base point? Give an…

A: Here,

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: Surface at 0 = 40° and r = 20 is a.. Cylinder Plane Circle Cone

A: Given:  r=20, θ=40°

Q: Draw Isometric View of CYLINDER of diameter 50mm and Height 60mm

A: Given that, the diameter of the cylinder is 50 mm and the height is 60 mm. At first a box should be…

Q: Cannot solve

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Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: Please help me with this problem

A: Parametric equation:

Q: the measure of center that is not sensitive to the presence of extreme values is the ______

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: Show that the geodesic on the surface of a right circular cylinder is a segment of a helix

A:

Q: Two circles of radius 5, with centers at (−1, 0) and (1, 0), intersect as shown in the figure. Find…

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Q: A flat, very thin table has a circular hole with radius 1 and a circular hole with radius 2. The…

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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: What is the surface generated by a straight line which moves along a fixed curve, and which remains…

A: To determine the name of the surface generated by a straight line which moves along a fixed curve,…

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)