If 2 Bézier curves are joined at the point p3 what is necessary for C' parametric continuity? O A. Both tangent vectors at p3 need to have the same magnitude and direction. O B. The second derivative at p3 needs to equal 0. O C. p3 needs to be a control point for both curves. D. Both tangent vectors at p3 need to point in the same direction.

Q: 2. Find the equations of tangents that can be drawn from the origin to the circle x² +y-2x+8y+2=0.

A: Given below the detailed solution

Q: 4) The lemniscate curve (x? + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

A: Introduction: The tangent line (or actually tangent) to a aircraft curve at a specific function is…

Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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Q: Given the equation 2y2 – 2xy – 4y +x? = 0 of a curve, obtain the x-coordinates of each point at…

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Q: d. With the parametrization in (c), we can now view the temperature f as not only a function of z…

A: A graph of contour plot is given as f(x, y)=30-x2-12y2. The parametric equations obtained in part…

Q: At what points is the tangent horizontal or vertical?

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Q: 2. Find the points of contact of the two tangents to the curve, 6y=2x³+9x³-12x+2, parallel to the…

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Q: View Prev The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x²+2y² –…

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Q: b. The y' of the curve y 4 Vx

A: The given function is y=4x. Obtain the first derivative as follows. y'=ddx4x=ddx4 x-12=4…

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A: It is given that∙Mouse Q runs along y-axis with a constant velocity v1∙Cat P runs along curve C with…

Q: Find the sope of the tangent ine tothe Given polarcove at thepointspecifiedby the valbe Of e 2.

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Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: II. Find the equations of the tangent and normal lines at the point indicated. a. 7x - 6V3ry + 13y -…

A: Solution is given below:

Q: 3. a. C. Find the equation of the tangent to the curve at the given point. 3√x 5x2+1 y² = 2xy - 3,…

A: Note:As per our guidelines we are supposed to answer only  first 3 sub parts if there are multiple…