Calculus Questions Set 1:
Quiz Mode
The value of Lim x→π/3 sin3(x-π/3) / (x-π/3) is
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What is the value of k = limx→0 logsin x(sin 2x)?
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What is the value of k = limx→π/2 [(2x⋅sin(x) - π)/cos(x)]?
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If ∫ sec²(7 – 4x) dx = a tan (7 – 4x) + C, then the value of a is
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The order of the differential equation 4x2(d2y/dx2)3 - 3(dy/dx) + y = 0 is:
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The distance between the given points P(2, -3, 4) and Q(-4, 1, 3) is:
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∫ (cos x)² dx = ?
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∫ (1-sin(x))/(cos(x))^2 dx = ?
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What is the Laplace transformation of L(eat * cosh(bt))?
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A bottle of mineral water at room temperature of 72°F is kept in a refrigerator where the temperature is 44°F. After half an hour, the water cooled to 61°F. What is the temperature of the mineral water in another half an hour?
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