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ECE Correlations 1 2024 2025 2nd sem

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The diagram shows two spheres, with radii 3 cm and 4.5 cm respectively.

The surface area of the smaller sphere is 36π cm2

What is the surface area of the larger sphere?

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What is the perimeter of the triangle shown? 4-7-13 triangle

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The perimeter of a rectangle is 148 feet. Its two longest sides add up to 86 feet. What is the length of each of its two shortest sides?

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The diagram shows a cone of height 8 units and base radius 6 units.

What is its volume?

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Find the point in the parabola y² = 4x at which the rate of change of the ordinate and abscissa are equal.

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Find d²y/dx² if x = 3 – 2z and y = z² – 3z³.

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 What is the allowable error in measuring the edge of the cube that is intended to hold 8 cubic meters if the error of the computed volume is not to exceed 0.02 cubic meter?

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The distance traveled by a body projected upward is given by the equation: s = 80t – 16t² where “s” is the distance in feet and “t” is the time in seconds. Find the greatest height to which the body will rise.

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Find dy/dx or y' for (x y) x = e

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Find the equation of the normal to x² + y² = 1 at the point (2, 1).

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