16. Triangle CDE with vertices C(2, 4), D(6, 7), and E(7, 3): 90° counterclockwise about the origin

Q: Q1) consider a plain (M) that contains the three points A(1,-1,1), B(2,3,0), and C(0,1,-2) a Find…

A: Given that A1,-1,1, B2,3,0, C0,1,-2 (a) The objective is to find the equation of the plane,…

Q: On a plane equipped with a polar coordinate system, what is the area of ​​the triangle with vertices…

A: In polar coordinate system x=rcosθy=rsinθ

Q: Vhat is the equation of circle C? (GGPE.1)

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Q: Transform triangle ABC with vertices A (4,0), B(0, 2), and C(-2, -1) as shown. RO. 1800(ABC) A'. В'…

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Q: 5. Determine the angle between each of the following pairs of planes. (a) 3x + 2y - 7z = 4 and (2,…

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Q: 1 (x-3)² y² + 289 64 Center: Vertices: Foci: Directrices: 1 Co-Vertices:

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Q: 10) (a) Make sure to show work. Given the Cartesian coordinates (–2, 2), find the polar coordi-…

A: Polar coordinates representation

Q: 4. (a) Describe the three-dimensional coordinate system. What are the coordinate planes? (b) What is…

A: * As per our guidelines, we are supposed to solve only the first three problems/subdivisions. Please…

Q: 3. Determine the lengths of the radius vectors of the point P (2, 1) of the ellipse 27x² + 3y²-54x -…

A: The center of a ellipse (x-a)2/c2+(y-b)2/d2=1 is at (a,b).

Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: Given is the triangle D with vertices 0,0,1,0,0,2 The objective is to evaluate the integral ∫∫D…

Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: Here we are given a 3d surface S by the following equation : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: If the coordinates of the ends of a focal chord of the parabola y²=4ax and (x,,y,) and (x,.y;) then…

A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

Q: Find the area of the triangle with vertices O (0,0), P (6√3, π / 6), P (12, π / 3) on a plane formed…

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Q: Rotate points P/(1,1,1), P2(2,1,2), P3(2,3,1) & P4(1,3,2) +30° around

A: Here, in the question We have to rotate the points about the points P1(1, 1, 1) , P2( 2, 1, 2),…

Q: Consider the parallelogram with vertices O, A, B, C, with vertex B opposite O, where O = (0, 0, 0),…

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Q: 1. The three points A = (-2, -4), B= (6,2) and C = (-3,3) are taken as the vertices of a triangle T.…

A: Given that: A=(-2, -4), B=(6, 2), C=(-3, 3)

Q: (b) Find eiz dz- (z + i)3 Izl=1.5 (the circle is oriented counterclockwise).

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Q: match the polar coordinates:  (3,0)  (3,π) (3, π/2)  (3, π/4) (-3√2, (-3π/4)) (-3, (3π/2))…

A: Polar coordinates:  (3,0) , (3,π) , (3, π/2) , (3, π/4), (-3√2, -3π/4), (-3, (3π/2)), (3,3), (3√2,…

Q: b) Given 3+ j4 = ( + jy)(1 + j) Find a and y, where a and y are real numbers and show your answer is…

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Q: 2. Give the parametric system of equations of the line given by the equations: 2x = 4 – 3y = ±1 Give…

A: