Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations x = t2 + 2, y = t2 - 2. Use arrows to show the orientation of the curve corresponding to increasing values of t. (If an interval for t is not specified, assume that - ∞ < t < ∞.)

Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: From x = √t we get t=x2 Then we plug it in y=t-1  So, y=x2 - 1

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

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

A: The parameter is

Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: x=t and y=2t We need to eliminate the parameter t and use the rectangular equation to sketch the…

Q: find the parametric equation (linear). remove the parameter to find the equation. graph them.  c.…

A: The solution of given equations is given as follows . The graph is the straight line as given below…

Q: Describe the graph of the relation determined by   Indicate the direction in which the curve is…

A:

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

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

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

A:

Q: Sketch the parametric curve for each pair of parametric equations. Use arrows to show the…

A:

Q: Use the parameter to write the rectangular equation as a set of parametric equations. x² State any…

A:

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

A:

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

A:

Q: consider the parametric equations:  x= √t y=√4-t graph the equation on the interval 0≤t≤4 while…

A:

Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.