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Calculus Questions Set 3:

Quiz Mode

Y = Lim x→pi/2 (sinx)tanx , find y.

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What is the value of k = limx→π/2 (log(x-π/2))/tan(x)?

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The inverse Laplace transformation of 1 / (s2 + s) is

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What is the value of k = limx→1 (1-x2)tan(πx/2) after simplification?

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The gradient of a vector field is

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What is the value of the integral ∫ cos8x dx over the interval [-π/2, π/2]?

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If the function f satisfies 2f(x)+f(1/x)=x for x ≠ 0, find the value of ∫ x2 * f(x) dx integrated from -1 to 1.

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A body in air at 25°C cools from 100°C to 75°C in 1 minute. Find the temperature of the body at the end of 3 minutes.

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What is the nth derivative of sin(4x)cos(2x)?

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What is the physical significance of the curl of a vector field?

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