Q-1 We can define a "special vector" which is derived from the gradient of a scalar function: (A = V • f) Check if the following vector(s) are that special vector(s) or not? Show your calculations!) • A1 = (5x*y² + y³Cos[x])î + (2x5y – 2yz + 3y²Sin[x])f – y²k A, = (2rzø + In[¢])î + (rz + -)ô +r²¢ k .4. • Az = (2e*r – 2r¢Sin[0])î – røCos[0]@ + (-r²Sin[0]+r²e®) a r Sin[0]

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Q-1 We can define a "special vector" which is derived from the gradient of a scalar function:
(A = V • f)
Check if the following vector(s) are that special vector(s) or not?
Show your calculations!)
• A1 = (5x*y² + y³Cos[x])î + (2x5y – 2yz + 3y²Sin[x])f – y²k
A, = (2rzø + In[¢])î + (rz + -)ô +r²¢ k
.4.
• Az = (2e*r – 2r¢Sin[0])î – røCos[0]@ +
(-r²Sin[0]+r²e®) a
r Sin[0]
Transcribed Image Text:Q-1 We can define a "special vector" which is derived from the gradient of a scalar function: (A = V • f) Check if the following vector(s) are that special vector(s) or not? Show your calculations!) • A1 = (5x*y² + y³Cos[x])î + (2x5y – 2yz + 3y²Sin[x])f – y²k A, = (2rzø + In[¢])î + (rz + -)ô +r²¢ k .4. • Az = (2e*r – 2r¢Sin[0])î – røCos[0]@ + (-r²Sin[0]+r²e®) a r Sin[0]
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