?Write the the differential equation by separating the variables.
?
 
?

A. ?
B. ?
C. ?
D. ?
E. ?


Answer: D

Mathematics

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Find the curvature of the space curve.r(t) = 12ti + j + k

A. ? = 
B. ? = 
C. ? = 
D. ? = 

Mathematics

Find the indicated probability.The table shows the distribution of family size in a certain U.S. city   Family Size Probability  20.455  30.212  40.197  50.088  60.033  7+0.015A family is selected at random from the city. Find the probability that the size of the family is less than 5. Round approximations to three decimal places.

A. 0.409 B. 0.088 C. 0.864 D. 0.497

Mathematics

Use the integral test to determine whether the series converges.

A. diverges B. converges

Mathematics

The demand function for a certain make of replacement cartridges for a water purifier is given by ? ? where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar. ? CS = $__________

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

Mathematics