Allow A be the point with Cartesian coordinates (6, 9), and D be the plane curve with parametric equations x = t2 − t, y = (2t3 − 11)2/3 - Look for the value of t which corresponds to the point A on D. - Obtain the equation (in point-slope form) of the tangent line to D at the point A.

Q: Give a cartesian equation for the curve given by the parametric equations: 4t² - 4t, y = 14t².…

A:

Q: Sketch the curve (2² + y*)³ = 4.x²y? 2.2

A: To sketch the graph of:(x2+y2)3=4x2y2

Q: What is the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

A: What is the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

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

A: The given parametric curve x=t3, y=t23. We have to sketch the graph of the parametric curve and find…

Q: - = + t, y = t? + 5, -2 sts 2 y y 10 -10 -5 -5 5 10

A: In this question, the concept of the parametric equation is applied. Parametric Equation  A set of…

Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

A:

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: rewrite the parametric equations in cartesian form. graph the curve; include an arrow to show the…

A:

Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: Change the parametric equations to rectangular and then sketch an excellent graph of the rectangular…

A:

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A:

Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Give the parametric curve: x = t3-6t2 y = t2-4t Does every horizontal line intersect the curve? Does…

A: Given: the parametric curve:

Q: Find a set of parametric equation for the tangent line to the curve of the intersection of the…

A: Find a set of parametric equation for the tangent line to the curve of the intersection of the…

Q: 6. (a) Find parametric equations for the line through A = (1, 2, 3) and B = (0, 2, 2). (b) Find the…

A: Solve for the given

Q: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

A:

Q: Find Cartesian equation for the curve represented by the parametric equation x=et-6, y = e²+

A: To find the Cartesian equation we have to write a equation in terms of the variable x and y only. I,…

Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10