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Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
(3 - j4)i1 + (8 - j7)i2 = 40 - j38
(2 + j3)i1 - (5 + j2)i2 = -6 - j8
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
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Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
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Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
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