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Mathematics Mock Test - 3

Calculus Questions

Q: How many Calculus questions are asked in Mathematics Mock Test - 3?

ExamTest.live has 123 Calculus questions from Mathematics Mock Test - 3, covering years 2026–2026.

123 Calculus questions from Mathematics Mock Test - 3 with detailed answers and explanations. Free previous year questions and MCQs.

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Years:2026 (123)

Calculus — Mathematics Mock Test - 3 (Page 2)(101–123 of 123)

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Q101mediummcqMathematicsMathematics Mock Test - 32026

Let f (x) = {3 x - 4, 2 x + l, 0 \leq x \leq 2 2 < x \leq 3 . If f is continuous at x = 2, then what is the value of l ?

Q102mediummcqMathematicsMathematics Mock Test - 32026

The value of \int_{- 1}^{3} [tan^{- 1} (\frac{x}{x ^{2} + 1}) + tan^{- 1} (\frac{x ^{2} + 1}{x})] d x is:

Q103mediummcqMathematicsMathematics Mock Test - 32026

The function y = f (x) has relative minima where:

Q104mediummcqMathematicsMathematics Mock Test - 32026

Find the area of the parabola y^{2} = 4 a x bounded by its latus rectum.

Q105mediummcqMathematicsMathematics Mock Test - 32026

The function f (x) = 8 lo g_{e} x - x^{2} + 3 attains its global minimum over the interval [1, e] at x = \dots

Q106mediummcqMathematicsMathematics Mock Test - 32026

If x is a real number, the function f (x) = x^{3} + x^{2} + x + 1 has:

Q107mediummcqMathematicsMathematics Mock Test - 32026

For a point of inflection of y = f (x), which one of the following is correct?

Q108mediummcqMathematicsMathematics Mock Test - 32026

Find lim_{n \to \infty} (\frac{1}{n} + \frac{1}{n + 1} + \frac{1}{n + 2} + \dots + \frac{1}{3 n})

Q109mediummcqMathematicsMathematics Mock Test - 32026

What is the area bounded by the curves ∣ y ∣ = 1 - x^{2} ?

Q110mediummcqMathematicsMathematics Mock Test - 82026

The angle between the curves y = sin x and y = cos x at their point of intersection in the first quadrant is:

Q111mediummcqMathematicsMathematics Mock Test - 32026

If c is a point at which Rolle's theorem holds for the function f (x) = lo g_{e} (\frac{x ^{2} + α}{7 x}) in the interval [3, 4], then the value of c is:

Q112mediummcqMathematicsMathematics Mock Test - 32026

If the curve y = a x^{2} + b x + c passes through (1, 2) and the tangent to this curve at the origin is y = x, then the possible values of a, b, c are:

Q113mediummcqMathematicsMathematics Mock Test - 82026

Let P (h, k) be a point on the curve y = x^{2} + 7 x + 2, nearest to the line y = 3 x - 3 . Then the equation of the normal to the curve at P is:

Q114mediummcqMathematicsMathematics Mock Test - 82026

The area bounded by the curves y = ∣ x ∣ - 1 and y = - ∣ x ∣ + 1 is:

Q115mediummcqMathematicsMathematics Mock Test - 82026

The minimum value of e^{(2 x^{2} - 2 x + 1) s i n^{2} x} is:

Q116mediummcqMathematicsMathematics Mock Test - 82026

Let f be a twice differentiable function on (1, 6) . If f (2) = 8, f^{'} (2) = 5, f^{'} (x) \geq 1 and f^{''} (x) \geq 4 for all x \in (1, 6), then:

Q117mediummcqMathematicsMathematics Mock Test - 82026

In the interval (- 4, 4), how many extrema does the following function have? f (x) = \int_{- 10}^{x} (t^{4} - 4) e^{- 4 t} d t

Q118mediummcqMathematicsMathematics Mock Test - 82026

If f (1) = 1, f^{'} (1) = 3, then the derivative of f (f (f (x))) + (f (x))^{2} at x = 1 is:

Q119mediummcqMathematicsMathematics Mock Test - 82026

Evaluate the following integral: \int_{1}^{e} x^{2} ln (x) d x

Q120mediummcqMathematicsMathematics Mock Test - 82026

Let f (x) = x - 1 + x + 24 - 10 x - 1 be a real valued function for 1 < x < 26 . Then f^{'} (x) is:

Q121mediummcqMathematicsMathematics Mock Test - 82026

The function y = \frac{1}{1 + x ^{2}} is decreasing in the interval:

Q122mediummcqMathematicsMathematics Mock Test - 82026

The marginal cost is much less than the marginal revenue for a product. The company selling the product should:

Q123mediummcqMathematicsMathematics Mock Test - 82026

If y = 1 + \frac{1}{x} + \frac{1}{x ^{2}} + \frac{1}{x ^{3}} + \dots \infty with ∣ x ∣ > 1, then \frac{d y}{d x} is:

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Mathematics Mock Test - 3 Calculus — FAQ

How many Calculus questions come in Mathematics Mock Test - 3?▼

Our database has 123 Calculus questions from Mathematics Mock Test - 3 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 3 Calculus questions?▼

The 123 Mathematics Mock Test - 3 Calculus questions include 1 easy, 122 medium and 0 hard level questions.

Where can I find more Calculus questions for other exams?▼

Visit /tag/calculus to see all Calculus questions across all exams including AIEEE, Mathematics Mock Test - 10, Mathematics Mock Test - 3.