cxumple 2 i Consider the graph of the polar fimetion p=f(θ), where f(θ)=2=4cosθ, in the polar coordinate system for 0≤θ≤2π. Which of the following statements is true about the distance between the point with polar coordinates (f(θ),θ) and the origin?(A) The distance is increasing for π<θ<35π, because f(θ) is positive and increasing on the interval.(B) The distance is increasing for 35π<θ<2π, because f(θ) is negative and increasing on the interval.(C) The distance is decreasing for π<θ<35π, because f(θ) is positive and decreasing on the interval,(D) The distance is decreasing for 35π<θ<2π, because f(θ) is negative and deereasing on the interval. Get tutor helpWhich 3 side lengths from the list below make a Pythagorean Triple?6,9,12,14,15Type the numbers that form the Pythagorean Triple in order from smallest to largest: Get tutor helpCoordinate Plane Test1) Fill in the blanks using the available answer choices.What is the horizontal distance between points A(−3.5,−2.5) and B(−1.5,−2.5) ?unitsBlank 1 options- −3- −2- 2- 02) Fill in the blanks using the available answer choices.Lester is plotting points on a coordinate plane. On what axis will the point (0,4) be located?Blank 1 options- x-axis- y-axis- no axis3) A rectangle on a coordinate plane has vertices A(1,2),B(1,16),C(10,16), and D(10,2).Find the perimeter of the rectangle.units Get tutor helpDetermine whether the tests for symmetry detect symmetry with respect toa. The polar axis. Replace (r,θ) by (r,−θ).b. The line θ=2π. Replace (r,θ) by (r,π−θ).c. The pole. Replace (r,θ) by (−r,θ).r2=9sin2θa. Yes b. Inconclusive c. Yesa. Inconclusive b. Yes c. Yesa. Inconclusive b. Inconclusive c. Yesa. Yes b. Yes c. Inconclusive Get tutor helpDetermine whether the tests for symmetry detect symmetry with respect toa. The polar axis. Replace (r,θ) by (r,−θ).b. The line θ=2π. Replace (r,θ) by (r,π−θ).c. The pole. Replace (r,θ) by (−r,θ).r2=9sin2θ Get tutor helpA rectangle is shown on the coordinate grid with vertices (0,0),(2,0),(0,3), and (2,3). A solid is formed by rotating the rectangle about the x-axis.Select all true statements about the revolved solid.The revolved solid is a cylinder with a base radius of 3 units.The revolved solid is a cylinder with a base radius of 1 unit.The revolved solid is a cylinder with a height of 2 units.The revolved solid is a cylinder with a height of 3 units.The revolved solid is a rectangular prism with a base length of 2 units.The revolved solid is a rectangular prism with a base length of 4 units. Get tutor help