Consider the following. x = et y = e-2t (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Q: Eliminate the parameter to find a cartesian equation of the curve. x = et,  y = e-4t

A: A curve is a two dimensional object with equation of the form y=f(x). This equation can sometimes be…

Q: find parametric equations for the given curve. y = 9 − 4x

A: The given equation

Q: Consider the following. x = et - 6, y = e2t (a) Eliminate the parameter to find a Cartesian equation…

A:

Q: In the given equation as follows , sketch the curve represented by theparametric equations (indicate…

A: Given the parametric equations x = 1+1t, y = t -1 x = 1+1t ,      y +1 = t x = 1+1y+1xy+1 = y+2xy…

Q: Consider the following. x = sin(t),    y = csc(t),    0 < t < π/2 (a) Eliminate the…

A: x(t) = sin(t)y(t) =csc(t)

Q: Consider the following. tan2(0), y = sec(0), -n/2 < 0 < t/2 X = (a) Eliminate the parameter to find…

A:

Q: The Cartesian equation for the curve y=3 sint, z =2 cost is Select one: O z? y? 1. O None of these…

A:

Q: Consider the following. x = e', X = y = e-3t (a) Eliminate the parameter to find a Cartesian…

A:

Q: - For what value(s) of t does the curve given by the parametric equations x= -² -1 and y=t* +2r² –…

A: As per our guidelines we are allowed to solve one question at a time . Kindly repost the rest…

Q: Consider the following. x = et - 4, y = e2t (a) Eliminate the parameter to find a Cartesian equation…

A: To find The cartesian equation of the curve by eliminating the parameter

Q: 2°)' 2°) (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve…

A: We know that , sin 2 ( x ) + cos2 ( x ) = 1

Q: Eliminate the parameter to find a Cartesian equation of the curve: x = VE ,y = 1 – t and then sketch…

A: Given,x=t...............(1)andy=1-t...................(2)differentiating both the equation w.r.t.…

Q: Consider the following. x = In(t), y = Vt, t2 81 (a) Eliminate the parameter to find a Cartesian…

A: Given parametric equation is  x=lnt, y=t,       t≥81

Q: 19. х 3D In t, у %3D Vt, t>1 y = /t, t>1 t> 1

A: a) x =lnt y= sqrt (t) y^2=t e^x=  t e^x = y^2 e^(x/2) = y

Q: Consider the following. x = e3t,    y = t + 8    (a) Eliminate the parameter to find a Cartesian…

A:

Q: Given the parametric equations for a plane curve: x= 5 cost y=2 sint 3n , use an arrow to indicate…

A: The parametric equations are used to denote the coordinates of a point which is used to form an…

Q: y =(+ + +)* x = 4t + 1, 4

A:

Q: 8. Eliminate the parameter to find a Cartesian equation of the curve: x(t) = t, and y(t) = 3t+4, t≥…

A: To eliminate the pararmeter to find a Cartesian equation of the curve: xt=t, and yt=3t+4, t≥0.To…

Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

A:

Q: (8.4) Find a rectangular-coordinate equation for the curve x 2cos(t) and y = 3sin(t), 0<t< 2n. %3D

A: The given x = 2cost y = 3 sint

Q: Consider the following. et – 6, y = e2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given that

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = sin2(t), y =…

A: Given parametric equation is

Q: 17. The Cartesian equation of the curve with parametric equation x = 1+t?, y = 2t, where tis a…

A: for cartesian equation,  eliminate the value of 't' from both equation

Q: Q1. A) Find a Cartesian equation of the curves. 1) r = 2 sin 0 2) r = 5 csc 0

A:

Q: Consider the following.x = et - 6y = e2t(a) Eliminate the parameter to find a Cartesian equation of…

A: From the equation for x, write t in terms of x.

Q: Eliminate the parameter to find a cartesian equation of the curve x = t4, y = ln(t)

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: 10b. Find the parametric equations of the tangent line to the curve at t =1.

A: Given: The position vector is of a particle in space at a time t : r→(t)=&lt;t+1,t,1t&gt;=&lt;x, y,…

Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

A:

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =…

A: Given parametric equations are

Q: Eliminate the parameter to find a Cartesian equation of the curve. x=2 sint, y=3cost, 0st<27

A:

Q: Find the equation of the curve at any point  P(x,y) of a curve the subtangent equals -1/x

A: Given that the subtangent equals -1x. Then we get, tan θ2=-1x⇒tan θ=2 tan θ21-tan2 θ2⇒tan…

Q: a) Eliminate the parameter to find a Cartesian equation of the curve. b) Sketch the curve and…

A:

Q: Find the exact length of the curve described by the parametric equations. • x = 7+3t², y = 1 + 2t³,…

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve for −2 ≤ y ≤ 4. x = t2 − 3,…

A:

Q: Consider the following. x = et - 6, y = e2t (a) Eliminate the parameter to find a Cartesian equation…

A:

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = et, y = e-t

A:

Q: In(t), y = Vt, t > 25 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b)…

A:

Q: Consider the following equations. x = 1 − t2,    y = t − 4,    −2 ≤ t ≤ 2 Eliminate the parameter to…

A:

Q: Discuss the properties of the curve (w/ solution) and sketch fully: y = x?e-*

A:

Q: Consider the following equations. x = 1 − t2,    y = t − 2,    −2 ≤ t ≤ 2   Eliminate the parameter…

A:

Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Consider the parametric equations x(1) = 1 + 3r², y(1) = 4 + 2r°, 0sts1. a. What is the length of…

A: If the parametric equations of a curve are x(t) and y(t), then the length of the curve over the…

Q: QUESTION 9 Eliminate the parameter to find a Cartesian equation of the curve. x = e²¹ - 1, y = 4f

A: Given that    x = e2t - 1  ,  y = e4t  We have to find the cartesian equation of the curve to…

Q: Consider the following. x = tan?(0), y = sec(e), -1/2 < e < n/2 (a) Eliminate the parameter to find…

A: x=tan2(θ) and y=sec(θ) knowing that tan2(θ)=(tan(θ))2=sin2θcos2θ and that…

Q: Sketch the curve r = 3 sin 20. a b Show that its Cartesian equation is (x² + y² )° =36x²y²,«

A:

Q: x = et – 3, y = e2t (a) Eliminate the parameter to find a Cartesian equation of the curve.

A: As per company guidelines, I'm restricted to answer your first question only. So if you want other…

Q: Eliminate the parameter to find a cartesian equation of the curve  x=e^6t-5, y=e^12t

A: It is given that,

Q: Question 5 Find the length of the curve. +- from y = 1 to y = 2 %3D 4y2 2

A:

Q: 1 Find the stationary points and state the nature of the curve y=xe.

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.