Find (a) P[(X,Y) € A], where A is the sector of the unit circle in the first quadrant bounded by y = 0 and y = x (b) P(X² +Y² < ¹⁄).

Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

A:

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 length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

Q: Find the y-intercept of the equation y = 7x - 2 y-intercept: Enter an n-tuple (more..] Submit…

A:

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…