If the parametric equations are : x = cos-t and y %3D then the Cartestan (rectangular)equation is (a)x? + y? = 1 (b)x? +y? = 1 (c)x² + y? = 1 (d)x² + y? = 1 (e) None y 20 x20 ys0

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A: We know that   cos(-θ)=cosθ  and   sin(-θ)=-sinθ

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Q: For the parametric equations: x = 23e-4t and y 44e5t dx (?)

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Q: Find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

A: To find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

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Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the…

A: The answer is found in step-2

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A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Consider the parametric equations x = 8 cos t and y = 8 sin t. (a) Describe the curve represented by…

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Q: If the parametric equations are: x cos-t and y = sin then the Cartesian (rectangular)equation is…

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Q: 7. if x= y=a are parametric equations of a curve, then its Cartesian equation is: A. x²+ y-y D0 B.…

A: As per guidelines we can solve only one question rest can be reposted.

Q: Find two different sets of parametric equations for the rectangular equation   y = 4/(x − 1)

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Q: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y =…

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Q: 1 If the parametric equations are : x = sin-t and y = cos-t - nst< then the Cartesian equation is…

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Q: For the parametric equations: x = 12e2t and y = 36e3t dx (i) dt %3D dy (ii) dt %3D dy (iii) dx

A: Given x=12e2t and y=36e3t

Q: Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2 (A) write…

A: The parametric equations are x=t+sint, y=cos2t and t∈0,2π.

Q: Match the parametric equations with the graphs labeled A - F. As always, you may click on the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find dy/dx and d'y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: ELIMINATE THE PARAMETER IN THE PARAMETRIC EQUATIONS: x=t +1 Y = t t-1

A: Topic - equations

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: Eliminate the parameter t from the parametric equationsx = 3+1 2 sec t and y =2+  4 tan t.

A: Given parametric equations are x=3+12 sect and y=2+4 tant We have to eliminate the parameter t from…

Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: The parametric equations x = 16+ ² + St. Y= 4+³+3+² ned come correspond to the Do Not make…

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Q: 10. Eliminate the parameter and identify the graph of the parametric equation. x = sin t , y = -3…

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Q: Match the given parametric equations with one of the parametric curves. x-3- sint, y = 5+ cost O A.

A: To sketch the given parametric equation :- x = 3 -sin t  and  y = 5+cos t

Q: Find dy/dx and d?y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Find the parametric equations of a vertical line through point (5,-7). Assume s = 0 corresponds to…

A: Solution

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A: Given :                Consider the parametric equations :                       x = 3 sin t…

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:- Draw the graph of the following parametric equations, and find the Cartesia 1) x = 6t + 2 y =…

A: Hello. Since your question has multiple parts, we will solve the first three part for you. If you…

Q: If the parametric equations are: x= sint and y= cos t, -St ST 2 %3D then the Cartesian equation is…

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Q: If the parametric equations are: x = sin-t and y = cos 글, - nstSn then the Cartesian equation is…

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Q: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: Given query is to find derivative , double derivative and slope.

Q: x = 1 + 4t,    y = 3 − t2

A: Here we extract t from the 1st equation then put this into second equation.

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A: Given: x=3sint                                                                   ..1y=2+cost…

Q: 1. The Cartesian equation of the curve given in parametric equations x = et - e-t , y = e' + et is…

A: As per guideline we have to do only one question

Q: 1 If the parametric equations are : x= sin-t and y= cos-t, -TstSn 1 then the Cartesian equation is…

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Q: Find dy and d?y and find the slope and concavity (if possible) at the given value of the parameter.…

A: Given, x = 1t y =t2 t = -3

Q: 3t For the parametric equations: 39e2 and y = 16e %3D

A: We can find the answer as below.

Q: x= et cos t y=et sin t given the parametric equation, solve its dy/dx and d2y/dx2

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: The solution is given as follows:

Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: A hiker in the woods travels along the path described by the parametric equations X = 80 − 0.7T Y=…

A: Hiker  X=80-0.7T Y=0.3T   Bear  X=0.2T Y=20+0.7T

Q: You are given the parametric equations z = cos(30), Y = 2 sin(0). (a) List all of the points (x, y)…

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Q: 1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y =…

A: Since, you have asked multiple questions, we will solve the first question as per company…

Q: Select two different sets of parametric equations for the rectangular equation. X-9 3 Ox= t+ 9, 3 Ox…

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Q: Find the First and Second Derivate of y with respect to x from parametric equations. Clear Solution.…

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Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.