13) wnite the crroesponding recferge equation for tue curve represenfed dy tue parametic equatias x= 54? y = f-6 by elimineting the les parameter. Anywerys 7 り 7 t 6 フ s 7 d) y= 6 e) 7. t 6

Q: P = (9,6,1) R = (9,8,5) Find the point such that R is the midpoint of PQ.

A: given R is midpoint of PQ  if two points is (x1,y1,z1) and (x2,y2,z2)then coordinates of midpoint is…

Q: x(t)=2t? \yle)=r²–4¢ a) For -5sts5 , find all points (x, y) where the slope of this curve is zero.…

A: Part (a):   The slope of the parametric curve x = x(t) , y = y(t) represent the rate change dy/dx at…

Q: Evaluate (x + y?) dx + 3x dy, where C consists of the arc of the parabola = y? from (1, 1) to (4,…

A:

Q: Verify Green's theorem for F =, where C is the part of the parabola y = x², and the line y = 4 for…

A: If be a positively oriented,  closed curve  enclosing the region D Then for a vector field F→=P,Q…

Q: 21 6) x-1. y

A: Given query is to write the equation in the form of rectangular form.

Q: A curve is given parametrically as x = secht, y = cosecht + 2 of the curve is ...? X ○a) y = √²² +2…

A:

Q: 11) Find the distance between point A(-3, 1,1) and the line of symmetric equations x = -y = -z.

A: This question is related to coordinate geometry, We will solve it using given information.

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Explanation of the answer is as follows

Q: Q2) Reflect an object defined by the points (2,3), (5,5), (5,7) and (2,8) about the arbitrary axis…

A:

Q: 2 The curve described by ( ¾7)² + : = 1 is known as an ellipse. Which of the following…

A:

Q: For each plotted curve, find parametric equations that describe it: (write letters in corresponding…

A:

Q: 8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in…

A:

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

A:

Q: -8 -6 -4 for 0 ≤ y ≤ 6 -2 8 -2 6 2 2 X The x y coordinate plane is given. A smooth directed curve is…

A:

Q: Consider the parametric curve given by: y = t³ +9t² - 100t. At what point (x, y) does the curve…

A: The parametric equation of the curve is given as , x=et2 , y=t3+9t2-100t find the point x,y where…

Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: 7) Find the parametric equations of the line that is tangent to circle x² + y? = 25 at point (3, -4)

A:

Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

A:

Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle

A: Instead of T,S,V and M I choose C,A,B and D

Q: Let P, Q be two points on the sphere of radius 1. Assume that P # -Q. Show that there exists a curve…

A: Given Data: P and Q be two points on the sphere of radius 1 P ≠ -Q. Show that : There exists a…

Q: find the length of the parametric curve. x = 3 + 5t, y = 1 + 4t for 1 ≤ t ≤ 2. Explain why your…

A:

Q: 2) Show that W = 1/2 maps the interior of the unit circle in the first quadrant to the exterior of…

A: Note: We will be solving Q 4B (2) only as asked.Consider the function .We need to prove that the map…