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Published on: 26/08/2019
Integral Calculus – II
Download Tamil Nadu 12th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
The area enclosed by the curve y = cos2x in [0,\(\pi\)] the lines x=0, x = \(\pi\) and the X-axis is ________sq.units.
2\(\pi\)
2\(\pi\)
\(\frac{2}{\pi}\)
\(\frac{\pi}{2}\)
2.
The area of the region bounded by the line 2y = -x + 8, X - axis and the lines x = 2 and x = 4 is ________ sq.units.
\(\frac{1}{5}\)
\(\frac{2}{5}\)
5
\(\frac{5}{2}\)
3.
The area unded by the curves y = 2x, x = 0 and x = 2 is________sq.units.
loge2
3loge2
\(\frac{3}{log_e2}\)
2loge3
4.
The area of the region bounded by the ellipse __________
\(\pi\)ab sq.units
\(\frac{\pi a}{b}\) sq.units
2\(\pi\)ab sq.unit
\(\frac{\pi}{2}\) ab sq.units
5.
The area bounded by y = 2x - x2 and X-axis is _________ sq. units
\(\frac{2}{3}\)
\(\frac{4}{3}\)
2
4
6.
The profit of a function p(x) is maximum when ________.
MC − MR = 0
MC = 0
MR = 0
MC + MR = 0
7.
If the marginal revenue MR = 35 + 7x − 3x2, then the average revenue AR is ________.
35x + \(\frac { 7{ x }^{ 2 } }{ 2 } -{ x }^{ 3 }\)
35x + \(\frac { 7{ x }^{ 2 } }{ 2 } -{ x }^{ 2 }\)
35 +\(\frac { 7{ x }^{ 2 } }{ 2 } +{ x }^{ 2 }\)
35 + 7x + x2
8.
The given demand and supply function are given by D(x) = 20 − 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is ________.
40
\(\frac{41}{2}\)
\(\frac{40}{3}\)
\(\frac{41}{5}\)
9.
Area bounded by the curve y = e−2x between the limits 0 ≤ x ≤ ∞ is ________.
1 sq.units
\(\frac{1}{2}\) sq.unit
5 sq.units
2 sq.units
10.
Area bounded by the curve y = x (4 − x) between the limits 0 and 4 with x − axis is ________.
\(\frac{30}{3}\) sq.units
\(\frac{31}{2}\)sq.units
\(\frac{32}{3}\) sq.units
\(\frac{15}{2}\) sq.units
11.
R
12.
Output
13.
MC
14.
Average cost function
15.
Cost function
1.
(d)
\(\frac{\pi}{2}\)
2.
(c)
5
3.
(c)
\(\frac{3}{log_e2}\)
4.
(a)
\(\pi\)ab sq.units
5.
(b)
\(\frac{4}{3}\)
6.
(a)
MC − MR = 0
7.
(b)
35x + \(\frac { 7{ x }^{ 2 } }{ 2 } -{ x }^{ 2 }\)
8.
(c)
\(\frac{40}{3}\)
9.
(b)
\(\frac{1}{2}\) sq.unit
10.
(c)
\(\frac{32}{3}\) sq.units
11.
Total revenue
12.
x
13.
\(\frac{dc}{dx}\)
14.
\(\frac{c}{x}\), x ≠ 0
15.
ഽmc dx+k
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Tamilnadu Stateboard 12th Standard Subjects
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Business Maths and Statistics
Economics
Commerce
Accountancy
History
Computer Applications
Biology
Computer Technology
Computer Applications
Computer Science
Business Maths and Statistics
Commerce
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Maths
Chemistry
Physics
Computer Technology
History
Accountancy
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