BCA Second Semester Mathematics II MCQs of 2024 Batch

BCA Second Semester Mathematics II MCQs of 2024 Batch

Multiple Choice Questions

i. The limit of the function f(x)= (sin 3x)/x as x tends to zero is:

b) 3      

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ii. If a function f(x) = { 4x – 1 for x < 1, {a for x = 1, { 3x for x > 1 is continuous at x=1, then value of a is

d) 3

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iii. Slope of the tangent to the curve y =  at (1, 2) is

c) 0

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iv. If a function y = f(x) satisfies all the conditions of Rolle’s theorem, then there exists a point c ∈ (a, b) such that the tangent at c is,

b) Parallel to the x-axis

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v. Length of a smooth curve y = f(x) in the interval [a, b] is calculated by using the formula

d) L = ∫[a to b] √[1 + (dy/dx)^2] dx

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vi. The differential equation formed by the equation y = a cos x + b sin x is

 c) d^2y/dx^2 + y = 0   

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vii. The value of the integral ∫ sin(x)dx =

c) -cos(x)+C 

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viii. The area below the curve y=2x, x-axis and ordinates at x=1 and x=4 is

d) 15

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ix. The total demand function of a company is P = P = 5x^2+2x+7 Which of the following is the marginal revenue?

c) 15x^2+4x+7            

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x. The maximum value of S = 3x+2y at (0, 0), (40, 0), (0, 20), (20, 20) and (0, 30) is:

d) 120

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