Let A ∈ R^(N×N) be a symmetric positive
definite matrix and b ∈ R^N a vector.
If x ∈ R^N , evaluate the integral
Z(A,b) = ∫e^(−(1/2)x^T Ax + b^T x) dx as a function
of A and b.
Let f(W) be a function of vector W ∈ R^N ,
i.e. f(W) = (1/(1 + e^(−W^T x) ))
Determine the first derivative and
matrix of second derivatives of f with
respect to W
Complete and balance the following chemical reaction
equation
(a)Ca + H_2 O →
(b)BaCl + H_2 SO_4 →
(c)CuSO_4 .5H_2 O →^(Heat strongly)
(d)ZnCO_3 +HCl →
31/1/2024
A compound M is composed of 52.2%
carbon ,13% hydrogenand the rest
is oxygen.if the molecuar mass of M is 138
(a)The empirical formular
(b)The molecular formular
31/1/2024
Write a balanced Ionic chemical equation
for the following reaction
(a)HCl+CaCO_3 →CaCl_2 +CO_(2(g)) +H_2 O_((l))
(b)NH_4 OH_( (aq)) +HCl_((aq)) →NH_4 Cl_((aq)) +H_2 O_((l))
31/1/2024
Hmmm..... I have one Question.
f(t)∈C^∞ , {C_ ^𝛂 mean can derivate 𝛂 times.}
where t∈R , Can f(t) integrable when S∈R\{Q}??
Ex. integral ∫_1 ^( e) ln(z)dz S∈[1,e]
But Except Q in set S like.. S^′ =S\{Q}
than Can integrable In S′