Engineering Mathematics|Important questions and solutions|BMATE201
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Important VTU maths question and answers
How to pass Engineering mathematics
Clear Engineering maths for CSE, ECE,EEE
1. Show that the vector 𝐹⃗ =(𝑥𝑖̂+𝑦𝑗̂) ÷( 𝑥^2+𝑦^2)is both solenoidal and irrotational.
2. Show that 𝐴⃗ = (𝑦^2 − 𝑧^2 + 3𝑦𝑧 − 2𝑥)𝑖̂+ (3𝑥𝑧 + 2𝑥𝑦)𝑗̂+ (3𝑥𝑦 − 2𝑥𝑧 + 2𝑧)𝑘̂is both solenoidal and irrotational
3. Find the directional derivatives of ∅ = 𝑥^2𝑦𝑧 + 4𝑥𝑧^2 at (1, 2, -1) along 2𝑖 − 𝑗 − 2𝑘.