Calculating Polar Areas - Page 5

Questions
  • What is the area enclosed by #r=costheta-sintheta/2 -3theta# between #theta in [0,(pi)/2]#?
  • What is the area enclosed by #r=5sin(-6theta-(5pi)/8) -2theta# between #theta in [pi/8,(3pi)/4]#?
  • Find the area enclosed by the curve r=a(1-cosθ)?
  • Can you please help with the following question with a picture demo??
  • Can you please help me with the following question in the screenshot?
  • Please help!!! the question is in the picture! i don't understand! ?
  • Let C consist of straight lines joining #(3,1,2), (2,1,5),# and #(1,0,1)#. evaluate the integral of #phi(x,y,z)=xyi+yzj+xzk# around C?
  • Sketch the region enclosed by the curves x=y^2-4y, x=0, y=0, y=4 and find its area?
  • There is a right circle cyclinder inside a sphere with radius #8m#. What is the largest surface area of the right circle cyclinder?
  • (06.01) Find the area of the region bounded by the graphs? of y = x, y = –x + 6, and y = 0. 4.5 9 18 None of these
  • Find the area bounded by #f(x)=sinx# and #g(x)=cosx# from #x=pi/4# to #x=((5pi)/4.#. Make an accurate sketch of the graphs on the axis below?
  • How will you prove the following?
  • A spherical balloon is being inflated. find the rate of the surface area S= 4*pi*r^2 with respect to the radius r when r is a) 20 cm b)40 cm?
  • What isthe area bounded by and from #x=pi/4# to #x=(5pi)/4#?
  • A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to maximize and minimize the total area?
  • A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to maximize and minimize the total area?
  • I don't understand what I did wrong in my process? The question is: Find the point on the plane 6x − y + 6z = 60 nearest the origin. The answer is: < 360/73, -60/73, 360/73 > I got: < 6(360/73), -1(360/73), 6(360/73) >
  • How to show that a triangle of maximum area inscribed in a given circle is an equilateral triangle?
  • The figure shows the curve #y=x^2# and the point D(-1,0). P(p,0) is a variable point on the x-axis and PQ is parallel to the y-axis. Express the area,A, of the triangle DPQ in terms of p. ?
  • Calculate the centroid of region "R"?