A Bezier curve is defined by PO (0,0), PI (2,5), P2 (5,5) and P3 (7,0). Sub divide the curve at u 0.25 and write the control polygon vertices of cach curve segment.

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: 17.) What is the vertex of y = - | x | - 2? a. (0, -2) b. (0,2) c. (2, 0) d. (2, -2)

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Q: ) Find the least-5quares line y=fex) =AX+ B for the following data - 1 -0.5 O :S -1 1 2. -2

A:

Q: Find the shortest distance, d, from the point (3, 0, -4) to the plane x + y + z = 4. d = ×

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Q: Min 2= 2x, t SX ₂. subject to: 2x1 + x₂4 25 2x,. 420 - X₁ + 10x₂ ≥20 5X₁ + 3x₂ > 15 X₂ ≤ 15 X₁20 x…

A: To Solve: The following optimization problem: Min z=2x1+5x2. Sub to…

Q: Square ABCD with vertices A(-4,3), B(-2,3), C(-2,1), and D(-4,1) using a scale factor of k = 3 and…

A: Let T denote the scaling by factor 3 centered at (-7,5). Now the coordinates of an arbitrary vector…

Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

A:

Q: A figure has vertices A(2, 5), B(8, 12), and C(-7, -2). Add 3 to each x-value and subtract 4 from…

A: Given a figure has vertices A2,5, B8,12 and C-7,-2. Now, we have to add 3 to each x-value and…

Q: If the composition p ∘ u = (2-y, 2-x), show that the fixed points are the points on the line y =…

A: The objective of this question is to prove that the fixed points of the composition function p ∘ u =…

Q: D, E, F

A:

Q: consider ΔABC which vertices A (4,-4) B (2,10) C (-6,6) sketch the ΔABC and find the mid point of…

A: Given points are A(4,-4) B (2,10) and C (-6,6)

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Order the following points by their distance to the point (1,1,1) starting with the closest point.…

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Q: Find b and c so that y 10x? + bx + c has vertex ( – 8, 0). = c = ||

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Q: Consider the curve defined by x = 2t – 1 and Y = 2 – t, for –5 <t< 3. Find an equation in X and Y…

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Q: Find the shortest distance from the point (2,1) to the curve y = 1+√x.

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Q: B: Determine whi 10. (1, 4)

A: Given equation of the circle is: x-42+y+12=16 We have to find the points contained by the above…

Q: let P(3/4,0) the distance between Pand Q. 7,1,0) and Q (0, -5,-2) be two points in R. Find

A: Distance between any two points  Is given by......(1)