Find the length of the curve.y = (x4/3 - 2x2/3) from x = 1 to x = 8

A. 23
B.  
C.  
D.  


Answer: C

Mathematics

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A house purchased for $125,000 is expected to appreciate according to the formula , where y is the value of the house after x years. Find the value of the house 4 years later. ? Do not include units with your answer.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.The power P (in W) generated by a particular windmill is given by  where V is the velocity of the wind (in mph). Estimate the instantaneous rate of change of power with respect to velocity when the velocity is  (Round to one decimal.)

A. 5.5 W/mph B. 2.5 W/mph C. 0.3 W/mph D. 12.2 W/mph

Mathematics

Solve the inequality. Graph the solution set and write the solution set in set-builder notation.x2 - 4x - 12 < 0

A. {x|-2 < x < 6}


B. {x|x < -2}


C. {x|x < -2 or x > 6}


D. {x|x > 6}


Mathematics

Translate the problem to a system of equations, then solve using Cramer's Rule.Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 500 gallons of gasohol containing 10% alcohol?

A. 208 gal 5%, 292 gal 12% B. 143 gal 5%, 357 gal 12% C. 357 gal 5%, 357 gal 12% D. 25 gal 5%, 60 gal 12%

Mathematics