Find the parametric equation for the curve 2x + 5y² = 6. (Use symbolic notation and fractions where needed.) c(t) = II

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

A:

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: Given the parametric equationsx=2t2y=t4+1

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: 12. Given the parametric equations r(t) = 3t + 2 and y(t) = t+1 for 0 <t< 4, find the rectangular…

A: For getting the rectangular equation eliminate the t

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

A:

Q: Find a parametric equation of the line tangent to 7 (t) at the point (– 12, 144, – 4.159)

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Q: Which is a parametric equation for the curve y = 9 – OA. c(t) = (t, 2 + t) OB. c(t) = (t, 9 – 2t)…

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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: 32. y=-4x+1 a. x=t b. . C. x =-4t /27

A:

Q: find parametric equations for the given curve.  x 2 + y 2 = 49

A: Given: find parametric equations for the given curve.   x2 + y2 = 49=72The parametric equation for a…

Q: Consider the parametric equations below. x = 4 + 5t,    y = 1 − t2   Eliminate the parameter to…

A: Calculation:Compute the Cartesian equation as follows.Rewrite x = 4 + 5t as follows t = (x – 4)/5.

Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…

A:

Q: Find a parametric equation for the path of a particle that moves halfway around the circle…

A: We have to find the parametric equation for the path of a particle.

Q: A curve C is defined by the parametric equations x(t) = -8t2 +7 and y(t) = 2t3 – 8t. Write the…

A:

Q: Find the parametric equation for the curve 12x + 17y = 18. (Use symbolic notation and fractions…

A: Given curve  12x+17y2=18

Q: Q6) The parametric equation of the x_axis is: * O t-1 O x=0 O x=t O x=1

A: Since at x-axis, y and z axis are both zero and only x is varying so general parametric equation for…

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

A: Topic - equations

Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval  [-4, 0]

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

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Q: Find the second derivative in terms of t for the parametric equations below- x=t² -t+2 y =t -3t

A: Given that, the parametric equations are x=t2-t+2 and y=t3-3t Find the first derivative in terms of…

Q: A curve is given by the parametric equations x(t)=t2-4t and y(t)=t2+2t-3. The line tangent to the…

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Q: Rewrite the parametric equation as a Cartesian linear equation by building an x-y table. Įx(t) ly(t)…

A:

Q: 8. x 2t2, y =t + 1 ||

A: We use substitution method to eliminate parameter

Q: Find the equation of the line tangent to the graph defined by the parametric equations 3 x =t2 – 6…

A: First evaluate the point of contact by substituting 4 for t in the given functions x and y. x=432-6…

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

A:

Q: Find for the parametric curve c(t) = (41°, 2r² – 8) at the point t = 2. (Use symbolic notation and…

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Q: Consider the parametric equations below.x = 5 + 2ty = 1 - t2 (b) Eliminate the parameter to find a…

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

Q: Find the slope of the parametric curve x = - 5t +8, y = 3t°, for - co <t< o, at the point…

A:

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: Find the parametric equation for the curve 2x + 5y = 6. (Use symbolic notation and fractions where…

A: Given equation is, 2x+5y2=6 Now write it in terms of x or y  x =(6-5y2)/2

Q: 2. Find the second derivative for the following set of parametric equations. = t° – 4t3 y = t?

A: We have to find the second derivative of the given equation.

Q: - A curve is defined by the parametric equations x(t) = t² -4t +1 , y(t) =t³ Find the equation of…

A:

Q: 2a) Find the slope of the curve represented by the parametric equations, at 0 = T/6 %3D x = 5+ 3 sec…

A: The curve given is  x=5+3sec θy=-3+4tan θ

Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

A: Given data÷

Q: x = 1 + 4t,    y = 3 − t2

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

Q: express the parametric curve in the form y = f (x) c(t) = (4t − 3, 10 − t)

A:

Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2

Q: The parametric equation of the x_axis is t=1 O x=1 O x=0 O x=t

A: To find the parametric equation of x axis.

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: 12. Sketch the plane curve defined by the given parametric equations, and find an x-y equation for…

A: The given parametric equations are,

Q: Consider the parametric equations below.x = 4t - 3y = 3t + 1(b) Eliminate the parameter to find a…

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

Q: Find the parametric equation for the line where the planes - 3y = 3 and -r - y+ 5z = - 9 intersect.…

A: The intersection of two plane is a line or the overlapping plane. Direction of the line is…

Q: 2. Find the parametric equations of the line through (0, 3) that is parallel to the line x= -5 + t y…

A:

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: In this question we have to find the y(x)

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: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

A:

Q: Find parametric equations for the given curve. 9x2 + 4y2 = 36

A: Given -            Parametric equation -              We define x and y both in terms of a third…

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

A: We have to find cartesian equation

Q: Find 2 for the parametric curve c(t) = (3r³, 3r² – 3) at the point t = 4. (Use symbolic notation and…

A: Consider the parametric curve  ct=3t3,3t2−3 To find : dydxt=4

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.