Consider the map F:x 3x on the circle S' = R/Z. • Find all fixed points of this map. • Find all points of period 2.

Q: c. Find r' (t) and graph r' (t) on the same graph as r(t). Distinguish each by using different…

A: Please see the below picture for detailed solution.

Q: Sketch a contour map for the graph of the equation z = 2² + y². Include level curves corresponding…

A: In question we need to draw a contour map.

Q: 5. Center: (0, 7); Point on the Circle: (-7, 6) 6. Center (9, -12); Tangent to the line x = 15

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Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

Q: sketch the graph on xyz coordinate y=2 and 3x+2y+z=

A: We are asked to sketch the graph on xyz coordinate y=2 and 3x+2y+z=6

Q: - = + t, y = t? + 5, -2 sts 2 y y 10 -10 -5 -5 5 10

A: In this question, the concept of the parametric equation is applied. Parametric Equation  A set of…

Q: Sketch the graphs of f and f in one picture.

A:

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

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Q: nd the equation of the circle having center at (2,3) and which touches x+y=1.

A: Provided that the (2,3) is the center of circle and this circle touches the line x+y=1 .We can…

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

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Q: -5 -4 -2 -1 2 3

A:

Q: na the General Form of thE circi (x+5)^2+(y-1)^2=9 *

A: Given equation is x+52+y-12=9Write the general form of the circle

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

A:

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: calculate the distance between the point P (2, 3) and the point Q (1,-2) 20 3 us O V25 4 jus O V26

A: The distance between two points (x1, y1) and (x2, y2) is                    d=(x2-x1)2+(y2-y1)2…

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

A:

Q: The equation of a circle centered at (4, 5) with a radius of 3 is given by which of the following…

A: We have to solve the problem

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: ,draw the circle given by the equation (x+4)² + (y –6)² = 16. THIN BLACK 13- 12- 11+ 10 9- 8- -거 6-…

A:

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.