2. Calculate the positions in geocentric coordinates and the altitude of the following Cartesian coordinates. a. X= 7000m Y= 6200m Z=-2500m b. X= 6378m Y=-5800m Z= 4500m c. X=-6000m Y=-6356m Z--3200m

Q: Give the Cartesian coordinates of the following points: point A (r = 2, θ = 30degrees, φ =…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form I = = f(y) for: Sa(t) = - 5t2…

A:

Q: A parabolic antenna follows the equation y^2 + 4x = 0. Which of the following is the coordinates of…

A:

Q: Given a unit circle, what is the negative value of x having an y-coordinate of 0?

A: Given :Unit Circle Equation : x-a2+y-b2=1

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

A:

Q: What is the standard equation of a circle with center in the 3rd quadrant, tangent to both x-axis…

A:

Q: Identify the following by getting rid of the parameter and write a cartesian equivalent: x =…

A: Consider  x=−2+3cosθ, y=5−3sinθ

Q: Find the center (h,k) and radius r of the circle with the given equation.   (x+10)^2+y^2=25

A: We know that equation of circle with center at (h,k) and radius r is

Q: Evaluate xy? ds where Cis the first quadrant of the circle, x² + y²= 16 . .A 256 3 .B 8192 5 .C 8192…

A: By line integration formula problem is solved

Q: ecall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

Q: ombus D С-а, 0) B(0, -b) E.

A:

Q: Question 6 2.5 pts Calculate the distance from point A to point B 54° 53' 61° 28' b = 200 M O 162.6…

A:

Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

A:

Q: Evaluate | xy2 ds where C is the first quadrant of the circle, x2 + y2= 16 . .A 8192

A: We need to evaluate ∫cxy2ds Where c is the first quadrant of circle x2+y2=16

Q: Reflect the given triangle over the line y = -X. 0. -1 0. -3 -4

A: Given triangle  by the reflection over y=-x (x,y)→(-y,-x)

Q: Show that the point is on the unit circle. We need to show that the point satisfies the equation of…

A:

Q: Find the angle, in degrees between 0 and 360°, which intersects the unit circle at the point - 2’ 2

A: We will use parametric form of unit circle

Q: With respect to right-handed Cartesian coordinates, let a = [2, 1, 0], b = [-3, 2, 0], c = [1, 4,…

A: Given: The vectors are a=2,1,0, b=-3,2,0, c=1,4,-2 and d=5,-1,3. To find: The value of the following…

Q: Convert to rectangular coordinates: x = 2t – 1, y = t² + 2 for tin (–∞, 00)

A: formula:

Q: 10) Eliminate the parameter and write the corresponding rectangular equation: x = cot 0 y = csc 0

A: Using the Pythagorean identity we know that:  csc2θ-cot2θ=1

Q: (s.) Convert the point (p, 0, 4) = 5, to Cartesian coordinates. Give answers either as expressions,…

A:

Q: Day 5: (Synchronous Session) EXERCISE NO. 13.4 A. Directions: Write the equation of the circle in…

A:

Q: Enter the coordinates of the point on the unit circle at the given angle. 210°

A:

Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1.

Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: Determine the missing coordinate of the point (-1/7,y) that lies on the graph of the unit circle in…

A: Solution is given below:

Q: 31. Give the center and radius of the circle represented by each equation. Ceater 4x2 + 4y2 + 4x –…

A:

Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

A:

Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

A:

Q: Use the information provided to write the standard form equation of the circle. Center: (12, -6)…

A: This question related equation of circle.

Q: What is the compass bearing of point A from O?

A:

Q: Find the coordinates of the center and radius of each of the given circle 5. x +y + 6x + 10y + 30 =…

A: Given: x2+y2+6x+10y+30=0

Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed 30 40…

A: Parabolic curve fitting : Let the fit curve is y=a+bx+cx2. Then the normal equations are…

Q: Find the image of segment FE after a rotation of 180° clockwise about point P. H C K D. E

A:

Q: Eliminate the parameter t but do not graph.     x = 4 cot t, y = 4 csc t

A: Our Aim is to eliminate the parameter t from the equation given below:-x=4 cot (t)  and y= cosec (t)

Q: Eliminate the parameter and obtain the standard form of the rectangular equation.           Circle:…

A:

Q: Given the points P(0,4) and Q(4,7): state the equation of a circle with center P and which has the…

A:

Q: What is the compass bearing of point A from 0? ** 0 7 d

A:

Q: Which of the following equation describes a circle on the coordinate plane with a center at (2, -3)…

A:

Q: Find the points (x, y) in the unit circle satisfying the given condition 2 b. y = - =-²/ C. x = 4y 3…

A:

Q: Determine the missing coordinate for point P(x, --) in quadrant III on the unit circle.

A: Since the coordinate P lies in the third quadrant we know they both x and y coordinate becomes…

Q: Find ∫Cf(x,y) dr, where C is the unit circle and f(x,y) = 2 −3y.

A:

Q: Refer to figure below and answer the following questions. 1. What are the points that lie on the…

A: Tooic-circle

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

A:

Q: 2. Figure 2 is the map of Silay City where Magikland (C), New Bacolod Sila International Airport (D)…

A:

Q: 1. Compute the coordinate of the center point and the radius of the circle that passes through the…

A: The general form of the equation of the circle is x2+y2+2gx+2fy+c=0

Q: 2. Find the Cartesian coordinates for the following points. a) b) 3

A:

Q: Find the missing coordinate of the point, given that the point is in quadrant IV (₂ Oa). 5 √61 Ob)…

A:

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.