Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) (1) = ( m 2 ) + + ( + + 7) + + (x m ² ) ► (1) k, t=to=2

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find an equation of the tangent plane at the given point: (2,1) F(r.a) 3²-3,

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

Q: 3. Sketch the curve: y = (x²–1)(x+2) x-3

A: y=(x2-1)(x+2)(x-3)y=(x-1)(x+1)(x+2)(x-3)X-intercept:(-2, 0), (-1, 0), (1, 0)Y-intercept:(0, 23)…

Q: Find all points on the graph of x2y − 2x + 63y = 2 where the tangent line is horizontal. (Enter…

A: Differentiate the equation x2y-2x+63y=2 wrt x:  ddxx2y-ddx2x+ddx63y=ddx22xy+x2dydx-2+63dydx=0

Q: Find the equation of the new curve C obtained when the graph of the curve C with the equation x 2 −…

A: Find the equation of the new curve C obtained when the graph of the curve C with theequation x 2 −…

Q: View Prev The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x²+2y² –…

A:

Q: (2) Find all points on the graph y = x3 - 12x + 9 with horizontal tangents. Find dy d2y and dc d2…

A: Given:

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…