You are given the polar curve r = cos(θ) + sin(θ)

a) list all of the points (r,θ) where the tangent line is horizontal. in entering your answer, list the points starting with the smallest value of and limit yourself to (r > or equal to 0) and θ: [0, 2pi] if two or more points share the same value of r, list those starting with the smallest value of θ.

point 1 (r,θ): ?
point 2 (r,θ): ?
point 3 (r,θ): ?

b) repeat this with a tangent vertical line

answer:

resultant force will act on 65° n of w.

step-by-step explanation:

as given in the question one bulldozer exerts force of 1250 pounds in western direction and 2650 pounds in northern direction and we have to find angle a which is an angle between 1250 pounds of force and resultant force f.

therefore tan a= force on north direction/ force on west direction = 2650/1250 = 2.12

⇒

a = 64.75

a = 65° north of west.

let w represent lizette's walking speed. then her running speed is w+6. the relationship between speed, time, and distance is

  distance = speed × time

lizette ran for 1.5 hours, then walked for 3 hours. her total distance is

  (w+6)·1.5 + w·3 = 18

  4.5w + 9 = 18 . . . simplify

  4.5w = 9 . . . . . subtract 9

  w = 2 . . . . . . divide by 4.5

lizette's walking speed is 2 mph; her running speed is 8 mph.