Show that the tangent at any point of the curve whose equations referred to rectangular axes are x = 3t, y = 3t², makes a constant angle with the line y = z- x = 0 z = 2t³

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

A:

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

A:

Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: You send a message through a pneumatic tube that follows the curve 9y = x3 (distance in meters). At…

A: Given data :

Q: Find the points where the tangent line to the curve y = 3x² - x³ is horizontal. Select one or more:…

A:

Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: Find the coordinates of the point other than the origin where the equation x3 + y3 - 72xy = 0 has a…

A: W we have to solve

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9.…

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and…