BITSAT 2019 Math Calculus Revision Quiz 1

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Question 1

The value of the integral is

• A11/15
• B14/15
• C2/5
• Dnone of these

Question 2

The integral  equals :

• A
• B
• C
• D

Question 3

The value of is

• A
• B
• C
• D

Question 4

y = dx ; y is equal to –

• Asin x – cos x + C
• Bsin x + cos x + C
• C2 sin x – cos x + C
• D2cos x – sin x + C

Question 5

The degree of the differential equation  is

• A1
• B2
• C3
• DNone of these

Question 6

If, then the function f(x) = a₀xⁿ + a₁x^n–1 + a₂x^n–2+ ...... + a_n has in (0, 1) is

• Aat least one zero
• Bat most one zero
• Conly 3 zeros
• Donly 2 zeros

Question 7

Consider f(x) = |1–x|; 1 ≤ x ≤ 2 and g(x) = f(x) + b , 1 ≤ x ≤ 2 then which of the following is correct?

• ARolle's theorem is applicable to both f, g and
• BLMVT is not applicable to f and Rolle's theorem if applicable to g with
• CLMVT is applicable to f and Rolle's theorem is applicable to g with b = 1
• DRolle's theorem is not applicable to both f, g for any real b

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