Obtain the divergence and curl of the following vector field:
For a vector field in cylindrical coordinates $\vec A = A_p\hat e_p + A_\phi\hat e_\phi + A_z\hat e_z$ the formulas are $$ \nabla\cdot \vec A=\frac{1}{p}\frac{\partial(pA_p)}{\partial __________ _____ ____ _________ ___ ____ ___ _______.
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Evaluate .
b) Show that for any scalar field :
.
random variable X has the following probability distribution:
Determine the value of the constant k and E(X).
The construction of a building may be delayed by a strike. Suppose that the probability that there will be a strike is 0.70, the probability that the construction
will be completed on time if there is no strike is 0.90 and the probability that the building will be completed on time if there is a strike is 0.40, what is the probability that the construction will be completed on time.
निम्नलिखित सदिश क्षेत्र का डाइवर्जेन्स और कर्ल प्राप्त करेंः
एक एथलीट चार दौड़ों में भाग ले रही है और प्रत्येक दौड़ में इसके जीतने की संभावना 60% है। इसके कम से कम दो दौड़ों में जीतने की प्रायिकता क्या होगी?
A website has on the average two hits per hour. Assuming a Poisson distribution for the number of hits per hour (X), calculate the probability that there are at most three hits.
बल द्वारा एक कण को वृत्त x² + y² = 4 के अनुदिश वामावर्त दिशा में बिंदू (2,0) से बिंदु (0,-2) तक ले जाने में किया गया कार्य परिकलित करें।