S21: The Cartesian coordinates of

Q: Find the equation of the line. y = 1 1 ? 18x X - I

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Q: Find rectangular coordinates for (2, p/3)

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Q: Convert r 8 csc(0) to an equation in rectangular coordinates in terms of x and y.

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Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: Find the poles. Зх - 3 y x - 9x (smaller value) | (larger value)

A: The given function is: y=3x-3x2-9x

Q: 5. 8xy? = 2 y6 +1, 1 <y <2 about y axis

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Q: Find the poles. 8x - 1 y = x2 - 2x X = (smaller value) X = (larger value)

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Q: Convert the rectangular equation x2 + y2 = 8x to an eq %3D

A: By using the relationship between rectangular coordinates and cylindrical coordinates . We can…

Q: Express the following points in Cartesian coordinates: (i) P(I, 60°, 2); and (ii) Q(2, 90°, -4).

A: If the coordinate is in cylindrical coordinate, r,θ,z, then the rectangular coordinate is:…

Q: Q6 Which equation represents the line that passes through the point (3,4) and is paralel to the…

A: The equation of x-axis is written as y=0. The line with the slope-intercept form y=mx+c has m as its…

Q: Convert the rectangular equation x2 + y? - 3z2 = 0 to an e %3D

A: Here we use the relationship between rectangular coordinates and spherical coordinates to convert…

Q: Plot the given point in a rectangular coordinate : (-5/2, 3/2)

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Q: State whether the equation z= (;)' + (3)° %3D defines: ?

A: The equation is z=x82+y52To define the shape of this equation

Q: Write the equation in the general form of r=10sinθ using rectangular coordinates.

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Q: 3. What is the length of the minor axis given by the equation + - (y-1) = 17 O 4 units O 2 units O…

A: To find the length of minor axis

Q: Plot the given point in a rectangular coordinate : (-4, -2)

A: Given a point,  (-4, -2). To plot the point (-4, -2) in a rectangular coordinate system,

Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: Find the distance, d=(za - z)² + (y½ - y) between the two points. Round to the nearest tenth. %3D C…

A: Designating the point as (x1,y1) and (x2, y2) is arbitrary we choose (x1,y1) = (2,4) ( x2,y2) =…

Q: Which equation represents the line shown on the coordinate plane below?

A: Given graph of line is

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: Convert r = 5 to an equation in rectangular coordinates in terms of x and y.

A: Equivalent rectangular coordinate measures: x = rsinθ; y = rcosθ

Q: Find the rectangular coordinates of the point P-). P(-)- P(-) x-coordinate of P 4 y-coordinate of P

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Q: How can you easily find the coordinates of R? Explain your thinking AND provide your answer. R 70°…

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Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: x2+4y2=16 Replace x by -x, we get ⇒-x2+4y2=16⇒x2+4y2=16 It is same as original equation. Therefore…

Q: y = sqrtx+3 What point is closest to (2,0)?

A: The given function is: y=x+3

Q: at the point P(x, y) = (-4.5, –16.73), determine the values of 0, and 0,.

A: In the given diagram below,   We have to determine θ1  and θ2 . In ∆OPB   Using Pythagoras…

Q: Find the coordinates of the image. Rx -3(U)

A: Given,

Q: To complete the original question asked... how would the check for both x-coordinate and…

A: Given  f(x)=3x2-12x+1

Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: Find the X and y Intercepts (a) ) V= Y%3DX+6

A: We have,  y = x + 6 At y-intercept x = 0: therefore, y = 0 + 6 = 6. At x-intercept y = 0: therefore,…

Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: The area of the triangle which the line 2x - 3y + 6 = 0 forms with the coordinate axes is…

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Q: Use the diagram to solve for x and y.

A: x = 90o - 47o =&gt; x = 43o

Q: Q1:- Find the Cartesian coordinates for the 3Tt 2:- (-1,- TC 1:-(2,-) 3:- (2,- 2.

A: Due to our guidelines I am solving only first three questions  Please repost other questions

Q: Determine whether the equation is linear in the variables x and y.(cot 5)x − y = 3

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Q: The height y (in feet) of a ball thrown by a child is 1 x+2x +3 14 y 3= where a is the horizontal…

A: The height y (in feet) of a ball thrown by a child is y=-114x2+2x+3where x is the horizontal…

Q: Replace the Cartesian equation with equivalentpolar equations. y = 1

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Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: A man wandering in the desert walks 2.3 miles in the direction S 318 W. He then turns908 and walks…

A: Given A man wandering in the desert walks 2.3 miles in the direction S31°W. He  turns 90° and walks…

Q: Plot the point where 0 = 3

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Q: y = 6x?, 1, and y 0, about the -axis.

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Q: Name the point with coordinate 2.

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Q: Is the point (−3, 0) on the x-axis or y-axis? How do you know? Explain

A: we have to identify the point (-3, 0) on the x-axis or y-axis

Q: Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are…

A: Solve #c

Q: Replace the Cartesian equation with equivalentpolar equations. x = y

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Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

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Q: Plot the given point in a rectangular coordinate : (-4, 0)

A: Here given coordinate as -4, 0 it means  x=-4 , y = 0

Q: B. Write the equation for the line parallel to y = 2x – 2, through the point (– 1,6). %3D Equation:

A: The equation for the line parallel

Q: Use the figure to find the terminal point determined by the real number t, with coordinates rounded…

A: It is given that t=4.1. In the unit circle the x coordinate is defined as x=cos(t) and the y…

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

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.