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The Mathematics Club of the Ohio Science High School has six members. How many ways can this club select a president and secretary assuming that all members are eligible but no one can hold both positions?


Determine whether the polynomial x²+2y²+4xy+2yz+6xz is a quadratic form and if so write it in the form X^T AX, where A is a symmetric matrix.

Can ∫ (x^6 +8)^2 dx be integrated with u = x^6+8? Explain

An electric charge q = +8.31 x 10-7 C caused an electric field of magnitude E = 63.9 N/C at pt. P. (a) How far is the point P from the charge? (b) If the magnitude of the electric field at pt. P due to this charge is doubled, how far is the point from the charge?


What is the electric charge q when an electric field of 75.8 N/C directed toward the charge can be observed at pt. P which is at a distance of 14.7 m?


(D^4 − 18D^3 + 119D^2 − 342D + 360)y = 0

1/x+ye^xy+2x)dx +(1/y+xe^xy+2y)dy=0

how many moles of o2 are produced when 1.26 moles of h2o is reacted

Give at least 2 examples of covalent compounds that can be found in nature or used in everyday life .Yhey must include the following information:



a.Brief information about the use of the covalent compound


b.chemical formula and chemical name of the covalent compound


c.Structure of the compound



Express the null hypothesis and alternative hypothesis in notation form of the scenario “It is


believed that the mean yearly salary of professors in the Philippines is Php480,000.00. A


random sample of 65 professors revealed a mean salary of Php500,000.00 Can it be


concluded that the mean salary is greater than Php480,000.00?


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