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Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
limit x APProaches infinity (1+1/x)x=e
If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
1. Discuss lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an example form natural and engineering sciences.) --- Draw le
Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t
The perimeter of a rectangular swimming pool is 60m. The length of the pool is 4 m more than the width. What is the width of the pool?
Cone - Three dimensional spaces The below equation is the general equation of a cone. X 2 / a 2 + y 2 /b 2 = z 2 /c 2 Here is a diagram of a typical cone. Not
Value of perfect information This relates to the amount that we would pay for an item of information such would enable us to forecast the exact conditions of the market and act
1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute. A. Express the acceleration in miles per hour per minute. B
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