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Probability of geometric mean being higher than 1/6If we choose 2 numbers from [0,2], independent from each other,what is the probability of their geometric mean being higher than 1/6?
Find the number of element in the power set of the set {x,(y,z)}
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2 + cos ( 2 x ) = 3 cos ( x )Find all values of X in the interval [ 0 , 2 π ] that satisfythe equation
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For each of the following differential equations, determine the general or particular solution: 2xy′+y=y2logx
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Refer to Given in Number 18. What is the probability, that a randomly selected student did not participate in any club?
10. What is the axis of symmetry for the parabola: y = − 2 ( x − 3 ) ( x − 7 )A) x=-2B) x=-3C) x=3D) x=511. Find the equation of a parabola in vertex form that passes through the point (7, 11) with vertex (5,-1)(A) y = 3 ( x − 5 ) 2 − 1(B) y = 1 12 ( x + 5 ) 2 − 1(C) y = − 3 ( x − 7 ) 2 + 11(D) y = 1 12 ( x + 7 ) 2 + 11
How does 7 log ( 8 x ) = 7 ln 8 xI was working on some math homework with a program called scientific notebook. I was check thatI was writing something correctly.The original equation is ( log ( x 4 ) + log ( x 5 ) ) / log ( 8 x ) = 7I then converted it to log ( x ( 4 + 5 ) ) = 7 log ( 8 x )I was expecting to get log ( ( 8 x ) 7 ) when I entered the 7 log ( 8 x ) into the program to evaluate. Can someone please explain this to me?
If cos4αx+sin4αy=1x+y, prove that dydx=tan2α
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