PYQs Based Test - 09 : Line, Surface, and Volume Integrals

Topics Covered

Sample Questions from this Test

1. Given $\vec{F}=\left(x^2-2y\right)\vec{i}-4yz\vec{J}+4x{z}^2\vec{k},$ the value of the line integral _C^ F.dl along the straight line C from (0, 0, 0) to (1, 1, 1) is.
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2. Determine the volume of the solid of revolution formed when the curve y = 2 is rotated 360° about the x-axis between the limits x = 0 to x = 3.
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3. The surface integral $\int \underset{s}{\int }\frac{1}{\pi }\left(9xi-3yj\right)$.nds over the sphere given by x² + y² + z² = 9 is
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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