2.) Fill in the table given the equation y=D2(3 and sketch the graph: y 10 10-8-6 -4-2 2. 4 6. 1 -2 -4 -6 -8 -10 o co 42 2.

Q: ) Write the equation r2+r(sin 0-6 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A: Solution is given below:

Q: c) Find the equation of the parabolic path by eliminating the parameter. 4.9 (tan(a) )x – -…

A:

Q: Eliminate the parameter to find the Cartesian format, then sketch the graph: а. x = cost y = cos² t…

A:

Q: In  the given question as follows , sketch the curve represented by theparametric equations…

A: Explanation: Given that: x=t+1y=t2 Concept used: 1.For rectangular equation rewrite the equation in…

Q: Which of the following graphs is the correct plot of y = 4 sin(x)? 5+ 5+ 4 4 4 2 6. -2 -2 -2 4 -2 of

A: We first make a table for y= -4sin(x) x 0 π2 π 3π2 2π y 0 -4 0 4 0

Q: i. x = sin (y – 5) 2 ii. –3x² + y? – 22 = 6

A:

Q: Match the equation with the graph shown in red below. (1,1,1) r(t) =i+tj+ tk, 0≤ t ≤4 O r(t)=…

A: Given graph, The objective is to find the equation of the red curve.

Q: Identify and sketch the graph of the following equations in R³ (a) x2 + 4y² + z² – 8x + 16y – 2z +…

A: we can add or subtract same amount from a equation to simplify equation. The logarithm function…

Q: Which equation is represented by the graph in the accompanying diagram? y TC 2T A) y = 3 sin 2x B) y…

A: Given graph:-     To find:- Equation of given graph

Q: find equation of cosecant

A: The general form of cosecant equation,

Q: EWORK 16: Graph the following equations. y = (x2 + 2x + 1)(x - 4) y2 = x2 + 5x + 7 1. TIA 2. x3 3. y…

A:

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Consider the given equation as x=t3....(1) And y=t2....(2)

Q: The range of the graph of y = cosx is a) 0 ≤ y ≤ 2π b) −1≤ y ≤ 1 c) −2л ≤ y ≤ 2ñ Od) y ER

A: Range is the set of y values corresponding to x-values of domain

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Find the equation in terms of x by substituting x=t in the given expression   y=t2-1=x2-1   To use…

Q: dy Given that y = ³ – 3a? +3x, find dy Hence show that da > 0 for all æ, and interpret this in terms…

A: Solve by differentiation

Q: Q2 : (A) Find tan-1(-5+i) dz (B) find f. where c is the circle 12z + 2il = 4 z+4

A:

Q: 16. The y-intercept of the graph of y =asin 0 +d is Oa+d Od O-d Oa-d

A: This question is related to graph and equations, we will use basic graphical principles to solve it.

Q: Which of the following correctly graphs the parametric equations x(t) = v4t – 4 and - y(t) = 3t – 3:

A:

Q: 5y=4 How would I make this into y=mx+b and graph this?

A: Consider the given equation,5y = 4Convert the above equation in form of  y = mx + b,

Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

A: Graph of the cylinder. You can assume that the the elliptical like shape is above the given figure…

Q: please make the curve easy to read and determine the direction (clockwise or counterclockwise) of…

A: Data given  X=-t+3   Y=-2t+1  value of t is given in a interval of [0, 5] Find out orientation of…

Q: Match the equations listed in parts (a) – (d) to the graphs in the accompanying figure.a. y = (x -…

A: y= a(x-h)^2+k has vertex at (h,k) We will use this formula to find the vertices

Q: Sketch the graph and show all the work out 1. Y=cot(2x-π/2) 2. Y=½sec(x+π/6)

A:

Q: Identify the line of reflection for the graph below. Ay WW 14 U U O reflection across y-axis O…

A:

Q: Starting with the graph of y = e x  write the equation of thegraph that results from(a) reflecting…

A: The equation given is y = e x. The graph of the equation is,

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: sketch a graph for y= 2sin(x+pi/3)+1 x E[0,4pi] (show full working out for all intercepts and…

A: Consider the given trigonometric function y in the interval [0, 4pi].  y=2sinx+π3+1   , x∈0, 4π…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: To find the equation in terms of x and y from the parametric equations x=ft and y=gt, we have to…

Q: GRAPH r(u, v) = u cos vi + u sin vj tuk

A: We need to plot the parametric surface: r(u, v)=ucosvi+usinvj+uk.

Q: Which of the following graphs is the correct plot of y = 3 cos(x)? 5t 5t -6 -5\-4 -3 -7 - 4 6 -5 -4…

A: In this question we will use basic of geometry i.e graph of cos(x)  First we will draw the graph of…

Q: TT T 9. x = sin t, y = cos 2t,

A:

Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 y 2 2 4 4 X BB÷ 2 4 -6 -4 -2 -4 -2 2 -6 2 4 6 X

A: The given function is r=6+sin4θ To find: We have to find the graph of the given function. We have…

Q: . Match the equations listed in parts (a)-(d) to the graphs in the ac- companying figure. a. y = (x…

A:

Q: 3. Sketch the graphs of the following curves. (a) r = 2+ sin 0. (b) r= | cos 30| (c) r = sin 0.

A: We have to sketch the graphs of the given curves.

Q: Sketch the graph of y = h(t), where h(t)=uπ(t)−u2π(t),t≥0.

A:

Q: i. x = sin (y – 5) ii. -3x2 + y z2 = 6

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: What will be the axis of symmetry, the line about which a figure or curve is symmetric, reflecting…

A: We have to find the line of symmetry of function and its inverse.

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given parametric equation of curve is x=t3+1,    y=t3-1,     -2≤t≤2. This implies that, x=t3+1,…

Q: The equation x2 + y2 + Dx + Ey + F = 0 is called the_________ form of the equation of a circle.

A: The general form of the equation of a circle is x2+y2+Dx+Ey+F=0. D, E and F are constants.

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given parametric curve is, x=2ty=8t3-1≤t≤1 From the parameter of x, x=2tt=x2

Q: Graph the roses r = cos m0 for m = 1/3, 2, 3, and 7.

A:

Q: Find the points (x, y) in the unit circle satisfying the given condition 2 b. y = - =-²/ C. x = 4y 3…

A:

Q: If the graph of the equation y = sec(x) is to be modified by shifting it T units 4 %3D to the left,…

A: The given function is  y=sec(x)

Q: Identify the symmetry (if any) in the graphs of the following equations. a. y = cos 3x   b. y = 3x4…

A: we have to identify the symmetry in the graph of the following given equations: a) y=cos xthe graph…

Q: Find the cartesian equation of the curve

A:

Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: If y2 + xy = 1, find y" at the point (0, -1) %3D

A:

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The graph of  e-2t+4

Q: 3. Draw the following curves on the grid provided y=-2 sin (x+30°) - 1 -90 90 180 270 360 -1 -2 -3

A: (x+30) represents a horizontal shift of30° to the left.(1 unit on the graph !!)-2 represents…

Q: Calculate y in degrees. (Image 21] (2x - sy (3x - 25) (Sx+ 45)

A: (3x-25) +(5x+45) =180 8x + 20 =180  8x = 160  x = 20

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.