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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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The area of the region bounded by the curves and the -axis is:
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The area of the region enclosed by the curves and is: 
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Describe in words the region of a 3-dimensional space represented by the inequality

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Write inequalities to describe the region consisting of the solid rectangular box in the first octant bounded by the planes and .
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Write an equation or inequality that represents a plane containing all points with equal and -coordinates.

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Write inequalities to describe the following region:

The solides circular cylinder that lies on or below the plane and on or above the disk in the -plane with centre the origin and radius 2 units.

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The sketch of the solid is given below. Given , write the inequalities that describe it.

M8 Q9 graphic

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Find the equation of the sphere with centre  (2,-3,6) that touches the -plane
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Describe the surface in 3-dimensional space represented by the equation

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Describe in words the region of 3-dimensional space represented by the inequality .
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