1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y = t2 + 1

Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: Given the equation below, eliminate the parameter and determine which of the following rectangular…

A: The given parametric equations are xt=2t2+6 and yt=5-t. Eliminate the parameter t from y as follows.…

Q: Identify the variables in the following parametric equations modeling projectile motion: x =…

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Q: O Write the parametric equations x = 2t – °, y = 9 – 4t iven Cartesian form.

A: We have to write the given parametric equations into cartesian form

Q: Determine which of the following parametric equations match the graph.…

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Q: Consider the following. x  =  −t + 1 y  =  −5t Sketch the curve represented by the parametric…

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Q: Consider the parametric equation   x(t)=2t+1 y(t)=5-2t a. Solve the first equation for t b.…

A: Given that parametric equation x(t)= 2t+1 and y(t) = 5 - 2t . (a) we solve first equation for t and…

Q: PART A. Write the parametric equation r = 9 cos(0) as a cartesian equation. PART B. Convert the…

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Q: x(t) = (t +3)² − 4; y(t) = (t + 3) traces an ellipse. a parabola. O a circle. O a line. O a…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Write the parametric equations as a function of x in Cartesian form. = x = 2t - 1, y = 6 - 3t

A: Given equation are x=2t-1 and y=6-3t

Q: 5. x = et, y = 2e-t

A: Let's find.

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: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: Find two different parametric equations for the rectangular equation given. y=4x-1 (a) Substitute…

A: Here we have to find two different parametric equations for the given rectangular equation:  1)…

Q: Find the equation of the following function. Make sure to show your work. (Hint: try using a point…

A: Equation of the given function is in two parts. They are as given below: -∞<x≤-1 and -1≤x<∞

Q: Write the pair of parametric equations in rectangular form. x = t, y= 23/10 Oy= 0y= 22²2 5 3

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Q: Eliminate the parameter of the pair of parametric equations. x = 3t, y = t + 7 O y = 3x + 7 O y = 3x…

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Q: Consider the parametric equations below. Assume that t can be any real number. x=t-3, y=2t-5…

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Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

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Q: 4. x = cos e + 0 sin 0, y = sin 0 – 0 cos e |

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Q: Use the parameter to write each rectangular equation as a pair of parametric x² x2 6 equations.…

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Q: Write each equation in polar coordinates. Express as a function of t

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Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: 4. Find the intersection of the two planes. T₁: X+ 2y+3z + 1 = 0 T₂: 3x + 2y +z+2 = 0

A: To find the intersection of the following two planes.

Q: 2. x= u +1, y = 4u² – 4u

A: Topic- differentiation

Q: Give the parametric equations of the rectangular equation below. y = (x − 2)² + 5 x = t + 2 x = t 2…

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