Area Under Curve questions
273 published questions with worked solutions.
- What is the area bounded by y= 16-x^2 , y 0 and the x-axis?
- What is the area bounded by y=[x], where [ ] is the greatest integer function, the x-axis and the lines x=-1 5 and x=-1 8?
- Let the functions f: R R and g: R R be defined by f(x) = e^ x-1 - e^ -|x-1| and g(x) = 1 2 (e^ x-1 + e^ 1-x ). Then the area of...
- The area of the region (x, y) : 0 x 9 4 , 0 y 1, x 3y, x + y 2 is
- Consider the functions f, g: R R defined by f(x) = x^2 + 5 12 and g(x) = cases 2 (1 - 4|x| 3 ), & |x| 3 4 , 0, & |x| > 3 4 ....
- Let f: [0, 1] [0, 1] be the function defined by f(x) = x^3 3 - x^2 + 5 9 x + 17 36 . Consider the square region S = [0, 1] [0,...
- Let S = (x, y) R R : x 0, y 0, y^2 4x, y^2 12 - 2x and 3y + 8 ,x 5 8 . If the area of the region S is 2 , then is equal to
- The area of the region enclosed by y 4x^ 2 , x^ 2 9y and y 4, is equal to
- If the area of the region (x, y) : x^ 2/3 + y^ 2/3 1, x + y 0, y 0 is A, then 256A/ is equal to _____.
- Let A_ 1 = (x, y) : |x| y^ 2 , |x| + 2y 8 and A_ 2 = (x, y) : |x| + |y| k . if 27(Area A_ 1 ) = 5(Area A_ 2 ), then k is equal to...
- The area enclosed by the curve y = log_e(x + e^ 2 ), x = log_e(2/y) and x = log_e 2, above the line y = 1 is
- The area of the bounded region enclosed by the curve y = 3 − |x − 1/2| − |x + 1| and the x-axis is
- The area of the region S = (x, y) : y^ 2 8x, y 2 x, x 1 is
- The area of the region (x, y) : |x − 1| y 5 - x^ 2 is equal to :
- For real number a, b (a > b > 0), let Area (x, y) : x^ 2 + y^ 2 a^ 2 and x^ 2 /a^ 2 + y^ 2 /b^ 2 1 = 30 and Area (x, y) : x^ 2 +...
- The area enclosed by y^ 2 = 8x and y = 2x that lies outside the triangle formed by y = 2x , x = 1, y = 2 2 , is equal to :
- What is the area of one of the loops between the curve y=c x and x-axis?
- Let ℝ denote the set of all real numbers. Then the area of the region (x, y) R R : x > 0, y > 1 x , 5x - 4y - 1 > 0, 4x + 4y - 17...
- If the area of the region S = (x, y) : 2y-y^2 x^2 2y, x is equal to n+2 n+1 - n-1 , the natural number n is equal to __________
- Let the area enclosed by the lines x + y = 2, y = 0, x = 0 and the curve f(x) = min x^2+ 3 4 ,1+[x] where [x] denotes the...
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and IntegrationChemical Kinetics