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Published on: 02/09/2022
QB365 provides a detailed and simple solution for every Possible Creative Questions in Class 12 Business Maths Subject - Integral Calculus – II, English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
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 Producer's surplus for the supply function P = g(x) for the quantity Xo and price Po is_________
\(\int _{ 0 }^{ x0 }{ g(x)dx } -{ p }_{ 0 }{ x }_{ 0 }\)
\({ p }_{ 0 }{ x }_{ 0 }-\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ p0 }{ g(x)dx } \)
2.
The Consumer's surplus for the demand function P =f(x) for the quantity Xo and price Po is_________
\(\int _{ 0 }^{ x0 }{ f(x)dx-{ p }_{ 0 }{ x }_{ 0 } } \)
\(\int _{ 0 }^{ x0 }{ f(x)dx } \)
p0x0-\(\int _{ 0 }^{ x0 }{ g(x)dx } \)
\(\int _{ 0 }^{ p0 }{ f(x)dx } \)
3.
If R' (x) = \(\frac{1}{x+1}\), then the revenue function is_________
log|x+1|+k
\(\frac{-1}{x+1}\)
\(\frac{1}{(x+1)^2}\)
log\(\frac{1}{x+1}\)
4.
If MR = 15 - 8x, then the revenue function is _________
15x - 4x2 + k
\(\frac{15}{x}-8\)
-8
15x - 8
5.
If the marginal cost function MC = 2 - 4x, then the cost function is _________
2x- 2X2+ k
2-4x2
\(\frac{2}{x}-4\)
2x-4x2
6.
The area bounded by the curve y = 4ax and the lines y2 = 2a and Y-axis is _______ sq. units.
\(\frac{2a}{3}\)
2a2
\(\frac{a^2}{3}\)
\(\frac{2a^2}{3}\)
7.
The area of the region bounded by the curve y2 = 2y - x and the y-axis _____ sq. units
\(\frac{4}{3}\)
\(\frac{2}{3}\)
4
\(\frac{16}{3}\)
8.
The area lying above the X-axis and under the parabola y = 4x - x2 is ______ sq. units
\(\frac{16}{3}\)
\(\frac{8}{3}\)
\(\frac{32}{3}\)
\(\frac{64}{3}\)
9.
The value of \(\int _{ -3 }^{ 2 }{ |x+1| } dx\) is______.
4
\(\frac{1}{4}\)
8
2
10.
The area of the region bounded by the line y = 3x + 2, the X-axis and the ordinates x = - 1 and x = 1is_________ sq. units.
\(\frac{13}{3}\)
13
\(\frac{26}{3}\)
\(\frac{3}{13}\)
11.
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\(\pi\)
\(\frac{2}{\pi}\)
\(\frac{\pi}{2}\)
12.
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
\(\frac{5}{2}\)
13.
The area unded by the curves y = 2x, x = 0 and x = 2 is________sq.units.
loge2
3loge2
\(\frac{3}{log_e2}\)
2loge3
14.
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
15.
The area bounded by y = 2x - x2 and X-axis is _________ sq. units
\(\frac{2}{3}\)
\(\frac{4}{3}\)
2
4
1.
(a)
\(\int _{ 0 }^{ x0 }{ g(x)dx } -{ p }_{ 0 }{ x }_{ 0 }\)
2.
(a)
\(\int _{ 0 }^{ x0 }{ f(x)dx-{ p }_{ 0 }{ x }_{ 0 } } \)
3.
(a)
log|x+1|+k
4.
(a)
15x - 4x2 + k
5.
(a)
2x- 2X2+ k
6.
(d)
\(\frac{2a^2}{3}\)
7.
(a)
\(\frac{4}{3}\)
8.
(c)
\(\frac{32}{3}\)
9.
(a)
4
10.
(a)
\(\frac{13}{3}\)
11.
(d)
\(\frac{\pi}{2}\)
12.
(c)
5
13.
(c)
\(\frac{3}{log_e2}\)
14.
(a)
\(\pi\)ab sq.units
15.
(b)
\(\frac{4}{3}\)
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