2. If the equation is the polynomial curve on affine plane f (x, y) = xy2 – y³ + xy + 3 = 0 a. Find the homogenous polynomial F(x, y, z) with property: F(x,y,1) = f(x, y). b. Does the above homogenous polynomial F(x, y,z) have ideal points? Perform the analysis by intersecting the polynomial to the equation z=0!

Q: x(t) Find the point at which the line y(t) z(t) = = = 4 - 8t -4+ 5t intersects the yz plane. 6 + 2t

A:

Q: Draw a picture on the z-plane

A: In this question, we draw a picture of the given curve in C(t). here, first, we write the real and…

Q: sin(7y), 8x2+7x°cos(7y)). vative servative n of the parabola y=x2-16 from (4,0) to (-4,0). Which of…

A: We have to choose the option

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = 4x* – 16xy +…

A:

Q: The line of intersection of the planes x + y + z = 0 and x - y = 0 is

A: The given planes are..Find the equation of the line in parametric form.

Q: f(x) is a natural cubic spline function having knots {-2, 0, 1), defined by ƒ(x) = { g(x), arª+x³+…

A:

Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

Q: P1=(x1,y1,z1) and P2=(x2,y2,z2)  prove that distance of P1 and P2 ; |P1P2|=((x2-x1)2 +(y2-y1)2…

A: Solution: The objective is to prove that the distance of P1 and P2   |P1P2|=((x2-x1)2 +(y2-y1)2…