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

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

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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: The curve's equation is given by x* + y4 = x² + y?

A: Here is the solution of the given problem.

Q: |(x+2) ds, where C is the curve represented by: r() = ti+*j+;rk, -Evaluate 0sIS2.

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Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing tat t-0. =…

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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: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

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

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Q: Find the coordinates of the point where the equation y' – xy = 2 has a vertical tangent.

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Q: dy = 18yx³ dx and whose y-intercept is 4. y(x) =

A: A detailed solution is given below

Q: Sketch the curve represented by the equations x = 1/ √(t + 1) and y = t/(t+1) , t > −1 by…

A: The given parametric equations are: The given equations are in the form of a parameter t, whose…

Q: Find an equation of the curve that satisfies dy 90yæº dæ and whose y-intercept is 2. y(x) =

A: Given:    dydx=90yx9      dyy=90x9dx Integrating on both sides     ∫dyy=∫90x9dx       lny=90·x1010+C…

Q: dy 20 yx %3D

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Q: Determine the parameter equation of the following curve x2 + y2= 5

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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: Find an equation of the curve that satisfies dy 33ya10 dæ and whose y-intercept is 4. y(x) =

A: Given: dydx=33yx10 and y-intercept is 4. To find an equation of the curve. Solution: Separating the…

Q: 7. Eliminate the parameter to find a Cartesian equation of the curve: x = Vt, y = 5 – 3t

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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: 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: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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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: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: Find the equations of the tangent lines x = t2 − t, y = t3 − 3t − 1 at the point where the curve…

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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: Evaluate ∫C x ds, where C is the parabolic curve x = t, y = t2, from (0, 0) to (2, 4).

A: Given: Parabolic curve x=t, y=t2 from (0,0) to (2,4)

Q: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

A: We are given equation of curve  Y^2 = x^3+8x We have to find points where tangent lines Are vertical…

Q: The Cartesian equation for the curve z = sect, y= tant, -<t< is Select one: O y=z. O none of these…

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

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Q: Evaluate ∫с (x+y^1/2) ds, curve is given by figure 2

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Q: Evaluate (2 - xy) ds where C is the curve given below. -2 -1 -2

A: Given   ∫C2-xyds Curve C

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

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Q: The cartesian equation of the curve x = VE ,y = 1-t is: (a)y = 1-x2, x20 (b)y = 1-x ,x20 %3D (c) x =…

A: Cartesian equation is a equation which involves x and y , just I have eliminate the t from given…

Q: Eliminate the parameter t to find a Cartesian equation of a curve. x = 1 + 3t,  y = 2-t^2

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

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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: Express the curve by an equation in a and y given #(t) = t² and y(t) = 2 t4 + 6. а) x = 4 y? + 5, y…

A: To convert the parametric equation into cartesian we must have to eliminate parameter t from both…

Q: The cartesian equation of the curve x = vE .y 1-t is: (a)y = 1- x2, x 2 0 (b)y = 1-x ,x 20 (c) x =…

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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 cartesian equation of the curve x = 1-t.y vt is: (a)y = 1-x, x2 0 (b)y = 1-x .x 20 (c) x=1-…

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

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Q: The orthogonal trajectory of the 1-parameter family of curves, y = cr will be given by: r² + y? = c…

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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: a) y = x? e-X

A: We have to discuss properties of the graph

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

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Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem

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.

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.