In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) + 2 y(t) = sin(t) + 2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x=2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Consider the curve defined by the parametric equations X = cos t, y = 3sec t on the interval…

A: To eliminate t and find cartesian equation.

Q: Use the parametric equations x= sec(t) , y=tan(t), for -pi/2 < t < pi/2. Sketch the curve…

A:

Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: Now that we have our angular velocity, we can write our parametric equations. Remember that x = r…

A:

Q: A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle…

A: x(t)=(89cos61∘)t, y(t)=−16t2 +(89sin61∘)t+9.    comparing with height equation; y(t)=−1/2(g)t2 +(v0…

Q: Consider the following parametric equations:   x= √t y=√(t−1) (a)  Sketch the curve represented…

A:

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

A:

Q: Find a parmetric equation that describes the entire set of points (x,y) such that 4x2-9y2=36

A: The given curve can be represented in a different manner as shown on the whiteboard.

Q: 1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the…

A:

Q: Show that the line of slope t through (-1, 0) intersects the unit circle in the point with…

A:

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: Find the parametric equations for the path of a particle that travels three quarters of the way…

A:

Q: Find the parametric equations for the line through the point (0, 1, 2) that is perpendicular to the…

A: