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Find out if the following sets of functions are linearly dependent or independent. (a) f ( x ) = 9 cos ( 2 x ) g ( x ) = 2 cos2 ( x ) - 2 sin 2 ( x ) (b) f
ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans: Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60
Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to
Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function. f ( x ) = x 3 + 2 x 2 -
who discoverd unitary method
The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution) If a circle touches the x-axis, its equatio
cos 8
schedulling problem with variability in task times
Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1. θ = β We are able to see that this is a line by converting to Car
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