Calculus

CBSE Class 12 Applied Mathematics · 34 board questions from this chapter; 19 listed below, 2023–2026

• General solution of differential equation y log y dx-x dy=0 is:2026
• If ∫_0^40 dx/(2 x+1)= log k, then the value of k is:2026
• If x=t^2 and y=t^3, then (d^2 y)/(dx^2) is equal to:2026
• The rate of change of the area of a circle with respect to its radius r (in cm^2 / s ), when r=6 cm, is:2026
• The slope of the normal to the curve y=(x-3)/(x-4) at x=6 is2025
• The rate of change of population P(t) with respect to time (t), where α, β are the constant birth and death rates, respectively,…2025
• The demand function of a monopolist is given by p=30+5 x-3 x^2, where x is the number of units demanded and p is the price per…2025
• If the cost function and revenue function of x items are respectively given as C(x)=100+0.015 x^2, R(x)=3 x, then the value of x…2025
• Questions number 19 and 20 are Assertion – Reason based questions of 1 mark each. Two statements are given – one labelled…2025
• Questions number 19 and 20 are Assertion – Reason based questions of 1 mark each. Two statements are given – one labelled…2025
• If y=e^-2 x, then (d^3 y)/(dx^3) is equal to:2024
• The function f(x)=x^2-x+1 is:2024
• The order and the degree of the differential equation y dx+x log (y/x) dy-2 x dy=0 are respectively:2024
• Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion and the…2024
• The relation between ‘Marginal cost’ and ‘Average cost’ of producing ‘x’ units of a product is:2023
• ∫(x-1) e^-x dx is equal to:2023
• The solution of the differential equation dx/x+dy/y=0 is:2023
• Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one labelled…2023
• Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one labelled…2023

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