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divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to the second part,we get the same number?
Evaluate following sin 2 ?/3 and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
Construction of indirect tangents
Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
Are the following Boolean conjunctive queries cyclic or acyclic? (a) a(A,B) Λ b(C,B) Λ c(D,B) Λ d(B,E) Λ e(E,F) Λ f(E,G) Λ g(E,H). (b) a(A,B,C) Λ b(A,B,D) Λ c(C,D) Λ d(A,B,C,
how to change order and variable in multiple integral
Find interval for which the function f(x)=xe x(1-x) is increasing or decreasing function
Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
The calculation of the angles of a triangle are shown by 2x + 15, x + 20 and 3x + 25. Evaluate the measure of the smallest angle within the triangle. a. 40° b. 85° c. 25°
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