We can represent atoms by listing the number of protons, neutrons, and electrons—for example, 2p+, 2n0, 2e- for helium. Which of the following represents the 18O isotope of oxygen?

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#Question id: 16822

#Section 1: Engineering Mathematics

F(s) is the Laplace transform of the function f(t) = 2t²e^-t F (1) is  ..... (correct to two decimal places).

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#Question id: 16823

#Section 1: Engineering Mathematics

Consider the homogeneous ordinary differential y equation x > 0 with dx2 dx y(x) as a general solution. Given that y(1) = 1 and y(2) = 14 the value of y(1.5), rounded off to two decimal places, is   

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#Question id: 16824

#Section 1: Engineering Mathematics

If the Laplace transform of function f(t) is given  by  s+3 /(3+1)(3+2) , then f(0) is 

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#Question id: 16825

#Section 1: Engineering Mathematics

The function f(x) = e^x -1 is to be solved using Newton-Raphson method. If the initial value of xo is taken as 1.0, then the absolute error observed at 2nd iteration is . 

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#Question id: 16826

#Section 1: Engineering Mathematics

Only one of the real roots of f(x) = x⁶ - x - 1 lies in the interval 1 x 2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is  

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#Question id: 16827

#Section 1: Engineering Mathematics

Let P = and   be two matrices.  Then the rank of P + Q is