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A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2
show that all primes except 2, are of the form 4n-1 or 4n+1
solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
Sums and Differences of Cubes (and other odd powers)? You can factor a sum or difference of cubes using the formulas a 3 - b 3 = (a - b )(a 2 + ab + b 2 ) and a 3 + b 3 =
three towns are situated in such away that town B is 120 kilometers on a bearing of 030 degrees from town A. Town C is 210 kilometers on a bearing of 110 degrees from town A (a)ca
1/sec A+tan A =1-sin A /cos A
Decision-making Under Conditions of Risk With decision-making under conditions of risk all possible states of nature are known and the decision maker has sufficient knowledge
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
A partially loaded passenger car has a mass of 1600 kg. It has fully independent suspension in which each front spring has a stiffness of 19.0 kNm -1 and each rear spring has a s
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