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We want to find the integral of a function at an arbitrary location x from the origin. Thus,
where I(x=0) is the value of the integral for all times less than 0. (Essentially, I(x=0) is the unknown constant of integration or the initial condition.) From the class lecture on the trapezoidal rule for numerical integration, it can be seen that this function can be approximated by
Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule. Your function should accept two vectors as inputs, x and f.
The first vector (x) contains the independent variable data (the points at which the values of the function are known. The second vector (f) should contain the values of the function at the points provided in the first vector. Your function should return the integral of f with respect to x, as a function of x.
Determine the Probability From a pack of playing cards what is the probability of; (i) Picking either a 'Diamond' or a 'Heart' → mutually exclusive (ii) Picking either
Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2
The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single po
COMMENT ON QUANTITATIVE TECHNIQUES IS A SCIENTIFIC AND FOR ENHANCING CREATIVE AND JUDICIOUS CAPABILITIES OF A DECISION MAKER
(a) Find an example of groups G, H, K with K H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve
three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.
what is tan 45 degrees?
a child prepares a poster to save energy on a square sheet whose each side measures 50 cm . At each corner she draws a quadrant of radius 5 cm and the centre of a circle of diamete
how to find volume of a cone in cubic units when the radius is 5 and height is 11
Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri
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