(b) Determine the position and character of the double points on the curve x³ + x² +y² – x – 4y +3 = 0

Q: 3. (а) Find the equation of the chord of the circle x + y 81 which is bisected at the point (-2, 3)…

A: 3. (a) Given equation of circle is                                                         x2+y2=81…

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: fuo= x²-Gx +25 form Reurite in Vertex

A: Given,              f(x) = x2-6x+25

Q: Find the point on the graph of y2 - xz2 = 4 nearest the origin.

A:

Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

A:

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. y = 2x +8 2 y = 3 -…

A: Let us consider the equation of parabola y=a(x-h)2+k Vertex of the equation is (h,k) The axis of…

Q: Y=3x-2 were graphed in the xy plane, which point would fall above the graph.

A: Given information:The given equation is y=3x-2.

Q: If (2, b) is a point on the graph of y = x2 + 3x, what is b?

A: We have to find the value of b if point 2, b is lying on the graph of y=x2+3x. We know that if any…

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

A:

Q: Sketch the graph of the parabola Y=(x− 1)² +5

A:

Q: Find the reflection of the point (1, 2, 3) in the point 2x+y=10

A: To find the reflection of the point (1,2,3) in the plane 2x+y=10.

Q: fy> x-1 Graph: \y< −4x+1 -5 -4 -3 -2 -1 4 3 2 1 Clear All Draw: 24 -2+ -3 -4- 1 2 3

A: I am going to solve the given problem by using some simple algebra to get the required result of the…