PART A. Write the parametric equation r = 9 cos(0) as a cartesian equation. PART B. Convert the following parametric equations as a cartesian equation. Sx(t) = 4t + 5 ly(t) = t2 + 3 %3D

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

A: The given equation

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

A:

Q: Eliminate the parameter from the parametric equations to find the rectangular equation for the…

A:

Q: From the two parametric equations below, find dy dx x = (2 − 3t)/ (1 + t) , y =(3 + 2t)/(1 + 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: For the parametric equations: 22e2t and y = 47et

A: Derivative: - The derivative formula is one every of the foremost fundamental notions in calculus,…

Q: A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Given the parametric equation. x = 2 cost y = 3sin t 0<t<2n

A: For (B), We need to find the curve whose parametric equation is given above.

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx(t) = 3…

A:

Q: Graph the parametric equations x(t) = cott ly(t) = sin² t

A: Consider the parametric equations x(t)=cot ty(t)=sin2t

Q: Question (1): Find dx² in terms of t for the following parametric equations: x = 3 + 4 cost; y = 1 -…

A: Topic = Derivative

Q: Which of the following correctly graphs the parametric equations x(t) V3t – 1 and - y(t) = -2t + 1?…

A: parabolas with a vertex(h,k)(other than the origin, we use the standard form(y−k)2=4p(x−h)(for…

Q: The plot above is created with the parametric equations x(t) = a cos(bt) lylt) = c sin(dt) To…

A: the given equations are as we can see here the domain of x is [-3,3] and the maximum value of x is…

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx(t) = 9…

A: Given equations are x=9 log(t) and y=5+2t eliminate t

Q: Find the slope of the parametric equations z = 2 cos(3t) – 4 sin(3t), y = 3 tan(6t) at the point t =…

A:

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

A: Topic - equations

Q: A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle…

A: x(t)=(89cos61∘)t, y(t)=−16t2 +(89sin61∘)t+9.    comparing with height equation; y(t)=−1/2(g)t2 +(v0…

Q: The following are the parametric equations for the motion of a charged particle: x = a(θ − sin θ),…

A: Given the equation of curvesx=a(θ−sinθ)y=a(1−cosθ)

Q: Find the rectangular equation for given parametric equations x= 3t      y=t+3

A:

Q: Consider the following parametric equations x=3+2t -t y=t+1 , -1<t<3 Sketch the graph of the…

A: Given query is to find the graph of the parametric equation.

Q: Find for the following parametric equations. dx2

A: First we find dy/dx  dy/dx = (dy/dt)/(dx/dt) Differentiate y with respect to t dy/dt = 2t…

Q: Find the graph of the parametric equations x = cos t, y = sin t. (0 ≤ t ≤ 2Π)

A: When angle increases from 0 to 2π we have increase in angle in the anticlockwise sense. Use the…

Q: . Given the parametric equation: x = Vt +1, y = vt;t 2 0; a) sketch the curve and indicate…

A:

Q: Eliminate the parameter in the parametric equations a(t) = log (12t) and y(t) =-3t + 2 to a…

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

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Q: 1) (a) Convert the following equations from parametric to rectangular. State the domain and range of…

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Q: find parametric equations for the given curve. . (x + 9) 2 + (y − 4) 2 = 49

A: To find the parametric equation of the given curve (x+9)2+(y-4)2=49 Given equation is in the form of…

Q: The following are the parametric equations for the motion of an object: x(t) = t cos(5t^2 + 2);…

A: Slope is basically how steep a line is. If a line is steep downward then slope is high negative. If…

Q: Write the parametric equations x = 2 sin? 0, y = 9 cos? 0 in the given Cartesian form. y = with 0 <…

A: Simplification of the functions helps to find the parametric equation. Trigonometric identity…

Q: For questions 5-6 consider the parametric equations x t' and y=2-t. X = 5. When t=2, then dy %3D dx…

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Q: Graph the parametric equations below (x(t) = t - sint ly(t) = 1- cost

A: The given parametric equations are: xt=t-sin tyt=1-cos t Find the value of x and y for multiple…

Q: Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90…

A: NOTE: Refresh your page if you can't see any equations. . here the given horizontal distance is…

Q: The following are the parametric equations for the motion of an object: x(t) = t cos (5t² + 2), y(t)…

A: Given a parametric equation, x(t)=t cos5t2+2,  y(t)=t2 ln(-5t)

Q: The plot above is created with the parametric equations Sa(t) = a cos(bt) ly(t) = c sin(dt) %3D To…

A: Given:                   To find:                  a,b,c, and d in xt=acosbtyt=csindt so that we…

Q: Consider a projectile launched at a height h feet above the ground and at an angle e with the…

A: The path of the projectline is modeled by the parametric equations x=t(v0cos(θ)) and…

Q: For the parametric equation, find dy/dx:

A: The given question is taken from the derivative in which we have to find the derivative of the given…

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: Given the parametric equation: x=cos(3t), y=sin(3t), 0 less than or equal to t less than or equal to…

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Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

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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: Find the equation for the following parametric equation in rectangular coordinates. x = 2t + 1 y =…

A: The solution is :

Q: Write the parametric equations x = 3 sin 0, y = 9 cos 0,

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Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

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: Consider the parametric equations below. x = t2, y = t5

A: We have to find cartesian equation