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Q.Torsion is defined only when K(S)≠0 (why?)
Q. Show that if curvature K(t) of a regular curve γ(t) is >0 every where, then k(t) is a smooth function of t. Give an example to show that this may not be the case without the assumption that k>0.
If a and b are non-collinear vectors and A = (x+y)a+(2x+y+1)b
A=(x+y)a+(2x+y+1)b

a) x=2,y=4
b) x=2,y=1
c)x=4,y2
d)x=1,y=1.
What is the answer from the option above pls
Given that 51.3% of all newly born children are boys, then what is the probability that in a sample of 5 newly born children, exactly 3 are boys?
Given that 51.3% of all newly born children are boys, then what is the probability that in a sample of 5 newly born children, exactly 3 are boys?
in an examination, 30% of the students have failed in engineering mechanics, 20% of the students have failed in mathematics nd 10% have failed in both the subjects. a student is selected at random. 1). what is the probability that the student has failed in engineering mechanis if it is known that he has failed in mthematics? , 2). wht is the probability that the student has failed either in engineering mechanics or in mathematics?
((D^2)-(2DD')+(D'^2))z=(e^(x+y))+(2(x^2)y) solution
A soft- drink vending machine is set to dispense 6 ounces per cup. If the machine is tested nine times, yielding a mean cup fill of 6.2 ounces with a standard deviation of 0.15 ounce, is this evidence at the level of significance 0.05 that the machine is overfilling cups?
Obtain all the first second order partial derivatives of the function f(x,y) = x^2 siny + y^2 cosx
d^2x/dt^2 -6dx/dt +9x = 0, x(0) = 6, x(0) = -1
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