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Solve for x: 4 log x = log (15 x 2 + 16) Solution: x 4 - 15 x 2 - 16 = 0 (x 2 + 1)(x 2 - 16) = 0 x = ± 4 But log x is
Let E = xy + y't + x'yz' + xy'zt', find (a) Prime implicants of E, (b) Minimal sum for E. Ans: K -map for following boolean expression is given as: Prime implic
Your bank has a loan outstanding with a current balance of $1,000,000 that is payable in quarterly equal instalments of $49,924. This loan has another 6 years to maturity. The bo
The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three
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
1. 10 -2 is equal to 2. If 3n = 27, what is the value of (4n) + 1 3. What is 1/100 of 10000? 4. The formula C=5/9 x (F-32) converts Centigrade temperature from Fa
Infinite Limits : In this section we will see limits whose value is infinity or minus infinity. The primary thing we have to probably do here is to define just what we mean w
A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre
what is dot
Steps for Alternating Series Test Suppose that we have a series ∑a n and either a n = (-1) n b n or a n = (-1) n+1 b n where b n > 0 for all n. Then if, 1.
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