Let the curve C be the mirror image of the parabola y" the line x+y + 4 = 0 If A and B are the points of intersection of C with the line y3D -5, then the distance between A and B is = 4z with respect to

Q: Let / be the line given in parametric form by the equations x = -2 + 1A y = -1+6) z = -1+7A What is…

A: given line is                                               x=-2+λy=-1+6λz=-1+7λ any point on the…

Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

Q: ample 3: Sketch the graph of the curve y-Ax)-x-1

A: See the attachment

Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: to the hyperbola the tangents. x² 16 9 = 1. Also, find the angle between

A:

Q: A variable straight line is drawn through the point of intersectio straight lines x / a+y/b = 1 and…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

A:

Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

A:

Q: What is the distance between the origin and the point (4, 3, 3)

A: To find the distance between the origin and the point (4, 3, 3)

Q: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: We use midpoint formula here.

Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: Determine the coordinates of the center and radius of the curve 24 (y-) + 16y -16x? + 1011 = 24 X.…

A:

Q: A water tower has a right circular cylindrical tank oriented vertically with radius 3 m and height 6…

A:

Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: The tangent to the circle x\power{2}+y\power{2}=5 at (1,-2) also touches the circle…

A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…

Q: The following line intersect with the xz-plane. What is the point? x = -2; y = 4+2λ; z = −3+2

A:

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Q3\ Sketch the graph of the curve 1) y=x² +1

A:

Q: draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation

A:

Q: Find the equation of the shortest curve that describes the distance between the two points A(x₁, y₁)…

A: Two points :A and B

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.