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Area of Region Bounded by Parametrically Defined or Polar Curves Worksheet

Area of Region Bounded by Parametrically Defined or Polar Curves Worksheet
  • 1. Find the area of region bounded parametrically, when first polar curve f (ѳ) = sin ѳ and other polar curve is g(ѳ) = cos ѳ, and these curve s lie between [-π/2, π/2]?
    1. 2
    2. 0
    3. 3
    4. 1
  • 2. Find the area of region bounded by parametrically where one polar curve is f (ѳ) = 2cos ѳ and other polar curve is g (ѳ) = sin2ѳ, and these curve s are lie between [-π/2, π/2] interval?
    1. (π + 8)/2
    2. (π - 8)/2
    3. (π - 8)
    4. 0
  • 3. Find the area of region bounded by parametrically where first polar curve f(x) = 3 + cos x and other polar curve g(x) = cos x, and these curve s lie between [-π/2, π/2]?
    1. 2
    2. π
    3. 3
    4. 3π
  • 4. Find the area of region bounded where first polar function f(x) = tan2x and other polar function g(ѳ) =  2+ cos x  ,and these curve lie between [-π/2 ,π/2]?
    1. 2
    2. π
    3. π +2
    4. 2π +2
  • 5. Find the area of region bounded by parametrically where first polar function f(x) = ∫dx/ sin2x.xdx and other polar function g(x) = 2cos x, and these curve lie between [-π/4, π/4]?
    1. √2 (2-√2)
    2. 0
    3. 2/√2 (2-√2)
    4. 2/ (2-√2)
  • 6. Find the area of region bounded by parametrically where first polar curve f(ѳ) = sin ѳ + cos ѳ and other polar curve g(ѳ) = tan ѳ, and these curve lie between [-π/2, π/2]?
    1. 2 -«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8734;«/mo»«/math»
    2. 3 - Â«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«moȤ#8734;«/mo»«/math»
    3. 4 - Â«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«moȤ#8734;«/mo»«/math»
    4. 5 - Â«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«moȤ#8734;«/mo»«/math»
  • 7. Find the area of region bounded by parametrically where first polar function f(x) = sin x/cos2x dx and other polar function g(x) = cotx, and these curve lie between [-π/3, π/3]?
    1. 2
    2. 0
    3. 4
    4. 1
  • 8. Find the area of region bounded by parametrically where first polar curve f(ѳ) = tan ѳ and other polar curve g(ѳ) = cos ѳ, and these curve lie between [-π/4, π/4]?
    1. 2
    2. 2 /√2
    3. 1 /√2
    4. 2 /√2
  • 9. Find the area of region bounded by parametrically where first polar function f(x) = 2 +4sin x and other polar function g(x) = 3cos x, and these curve  lie between [-π/2, π/2]?
    1. 2
    2. 6+2π
    3. 6-2π
    4. 1
  • 10. Find the area of region bounded by parametrically where first polar curve f(x) = sin x and other polar curve g(x) = cos x + tan x, and these curve  lie between [-π/2, π/2]?
    1. 4
    2. 0
    3. Undefined
    4. 1
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