Consider the following. x = et − 4,    y = e2t   Eliminate the parameter to find a Cartesian equation of the curve.

Q: 48. x = e' – t, y= 4e"², 0<t<2

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Q: Consider the following. x = sin(t),    y = csc(t),    0 &lt; t &lt; 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…

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

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Q: The cartesian equation of the curve x = vt ,y= 1– t is : (a)y = 1 – x², x 2 0 (b)y = 1 – x ,x 2 0…

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Q: 1. a) Find the length of the curve: y =+ 2xi 1 [1,2]. 16

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sz(t) = - 2t2 ly(t)…

A: The objective is to to eliminate the parameter t to find a cartesian equation

Q: The cartesian equation of the curve x = VE .y 1-t is :

A: The characterstics eqaution of the curve is

Q: Find the length of the curve described by y = V sec* t – 1 dt, - sI 4 4 (a) 4 (b) (c) (d) 2/2 (e) 1

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Q: 1) Find the length of the curve; y = e" from r= 1 toI = 2.

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: The cartesian equation of the curve x = vt ,y= 1-t is: (a)y = 1 – x2, x 2 0 (b)y = 1 – x ,x > 0 (c)…

A: Given:-paametric equation:x=t y=1-tsince we have to find the cartesion equation

Q: Consider the parametric equations x(t) = 1 + 3t2, y(t) = 4 + 21³, -1 <t <1. • What is the length of…

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Q: (b) Eliminate the parameter to find a Cartesian equation of the curve.   for  −5 ≤ y ≤ −1

A: The parametric equation of curve are x=1-t2 y=t-3

Q: A curve is described parametrically by x(t)=1/(t+1), y(t) =1/(t-1). Find the equation of the line…

A: Consider the curve Find the equation of the line tangent to the curve at t=2

Q: 9. Given the parametric equations x = et and y = te-t, vt. dy (a) Find dx (b) Find dx2 d?y (c) For…

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Q: Consider the following. x = t4, y = In(t) (a) Eliminate the parameter to find a Cartesian equation…

A: We have to find the Cartesian equation

Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: The cartesian equation of the curve x= vt ,y =1-t is : (a)y = 1– x², x 2 0 (b)y =1-x ,x20 (c) x = 1…

A: Eliminate t in given equation.

Q: (6) Find the points on the curve 5x2 + 6xy + 5y² = 9 which are nearest to and farthest from the…

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

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Q: Find an equation of the curve that satisfies dy 20ya de and whose y-intercept is 3.

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Q: Зу — 4у 3D —х — 2 The curve above can be parameterized as which of the following pairs of equations?

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Q: 1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the…

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Q: a) Given a curve y = px* + 2x has turning point at (–1,q). Find the value of p and q.

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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: Find the length of the curve y = V- from z =1 to r = e. 3

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Q: -Obtain the Cartesian equation of the curve by eliminating the parameter. 14) x = t - 3, y = t2 + 5…

A: To obtain the Cartesian equation of the given curve.

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

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

A: Solution: The objective is to eliminate the parameter to find a Cartesian equation of the curve

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: The equation for the line of best fit for some data comparing the height of a candle (H) with time…

A: Let the independent variable denoted as time (T) Let the dependent variable denoted as height of the…

Q: Eliminate the parameter to find a Cartesian equation of the curve. x = t2,    y = t5

A: A curve is a two-dimensional object with equation of the form y=f(x). Curves can be parameterized to…

Q: Eliminate the parameter to find Cartesian equation of the curve: x=2 sint, y = 5 cost, -n <t<n 6. a

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Q: The cartesian equation of the curve x = 1-t,y= vt is : (a)y = 1- x2, x 2 0 (b)y = 1 - x ,x 2 0 (c) x…

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Q: The point on the curve x? + 2y = 0 that is nearest to the point (0,-;) occurs where y'is A) 0 B)…

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Q: 3 y Vsec4t – 1 dt, 0, 4 4 Find the length of the defined curve. (write your solutions in detail and…

A: To find the length of the defined curve: y=∫0xsec4t−1dt,  −π4≤x≤π4

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

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

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

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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: 5. What is the equation of the curve AB? X Depth B Specific Energy a) y + 2gy Q? у + Q b) у + 2gy Q?…

A: The curve AB represents  specific energy

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: 43. Eliminate the parameter to find a Cartesian equation of the curve. x = e' - 1, y = e2t. O…

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

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Q: Consider y = x2+3 /3e4x^2. Find the value of x at which this curve has a stationary point

A: Consider the given function.

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.