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Karnataka Board PUCPUC Science 2nd PUC Class 12

PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions

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Using differential, find the approximate value of the \[\left( \frac{17}{81} \right)^\frac{1}{4}\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the \[\left( 33 \right)^\frac{1}{5}\] ?

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
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Using differential, find the approximate value of the \[\sqrt{36 . 6}\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the \[\sqrt{49 . 5}\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the \[\left( 3 . 968 \right)^\frac{3}{2}\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the \[\left( 1 . 999 \right)^5\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the  \[\sqrt{0 . 082}\] ?

[6] Applications of Derivatives
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Using differential, find the approximate value of the \[{25}^\frac{1}{3}\] ?

[6] Applications of Derivatives
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Find the approximate value of f (2.01), where f (x) = 4x2 + 5x + 2 ?

[6] Applications of Derivatives
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Find the approximate value of f (5.001), where f (x) = x3 − 7x2 + 15 ? 

[6] Applications of Derivatives
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Find the approximate value of log10 1005, given that log10 e = 0.4343 ?

[6] Applications of Derivatives
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If the radius of a sphere is measured as 9 cm with an error of 0.03 m, find the approximate error in calculating its surface area ?

[6] Applications of Derivatives
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Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1% ?

[6] Applications of Derivatives
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If the radius of a sphere is measured as 7 m with an error of 0.02 m, find the approximate error in calculating its volume ?

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Find the approximate change in the value V of a cube of side x metres caused by increasing the side by 1% ?

[6] Applications of Derivatives
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For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆ y ?

[6] Applications of Derivatives
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If y = loge x, then find ∆y when x = 3 and ∆x = 0.03 ?

[6] Applications of Derivatives
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If the relative error in measuring the radius of a circular plane is α, find the relative error in measuring its area ?

[6] Applications of Derivatives
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If the percentage error in the radius of a sphere is α, find the percentage error in its volume ?

[6] Applications of Derivatives
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A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume ?

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
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