Which graph is the one described by the set of parametric equa Sz = t ly = t³ %3D for -0

Q: Sketch and name the graph of the equation x^2 − y^2 + 2y − 5 = 0 in 3D space.

A: Definition used-         Equation of hyperbola -                          (x-h)2a2-(y-k)2b2=1…

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: What is the most time-consuming part in using a graphing utility to graph a general second-degree…

A: To discuss about graphing utility.

Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

Q: f.) x (y + 2) = 2(2x + 1) 2(2x + 1) y = mx + b form: Graph th

A: Given: To find:To write the above equation in  form.To draw the graph of the equation.

Q: The parabola y=(x-)+1 has its fous at (2-3). 76 Determine and State of the the equation directiex.

A: Consider the equation of parabola: y=-116x-22+1To   solve,y-1=-116x-22x-22=-16y-1…

Q: What is the family of curves for all parabolas with axes parallel to the y-axis.

A:

Q: The curve 2|2|=|z1|represents (A) Pair of straight lines (B) Parabola (C) Circle (D) Ellipse

A:

Q: x2 Find equations of both tangent lines to the graph of the ellipse . = 1 that pass through the…

A:

Q: Let / be the line given in parametric form by the equations x = 1 + 21 y = -1 + 31 z = 2 + 51 What…

A:

Q: The asymptotes of the graph of the two given parametric equations are * 1 and y = %3D t + 1 O x=0 ,…

A:

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

A:

Q: na the General Form of thE circi (x+5)^2+(y-1)^2=9 *

A: Given equation is x+52+y-12=9Write the general form of the circle

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

Q: What is the image of point G(18, 71) after a half-turn centered at Y(20, 21)?  Give a reason for…

A:

Q: Sketch graphs of the following curves: (a) x² − 2x + 8y +2 = 0 2 (b) x² + 4y² − 16 = Ook

A:

Q: 3) y = Vx – 5 4) y= Vx - 4

A:

Q: Sketch a graph

A: The objective of this question is to sketch a graph of the parabola with the given properties. The…

Q: I have the following curves and you need to identify which parametric function belongs to which…

A: The objective of the question is to identify the parametric function that corresponds to each graph.…

Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

A:

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.