Calculate dy/dt using the given information.x3 + y3 = 9; dx/dt = -3, x = 1, y = 2

A. - 
B. - 
C.
D.


Answer: C

Mathematics

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Provide an appropriate response.After multiplying decimals, count the total number of decimal digits to the right of the decimal points in the factors to determine the placement of the decimal point in the product.

A. True B. False

Mathematics

Solve the problem.The polynomial  gives the approximate total earnings of a company, in millions of dollars, where x represents the number of years since 1996. This model is valid for the years from 1996 to 2000. Determine the earnings for 2000. Round your answer to two decimals, if necessary.

A. $2.8 million B. $2.37 million C. $2.56 million D. $2.06 million

Mathematics

Expand the expression using the Binomial Theorem.(2x + y)6

A. 64x6 + 192x5y + 480x4y2 + 960x3y3 + 1440x2y4 + 12xy5 + y6 B. 64x6 + 192x5y + 240x4y2 + 160x3y3 + 240x2y4 + 192xy5 + 64y6 C. 64x6 + 192x5y + 240x4 y2 + 160x3 y3 + 60x2y4 + 12xy5 + y6 D. 2x6 + 12x5y + 30x4 y2 + 40x3y3 + 12xy5 + y6

Mathematics

Write a general formula to describe the variation.The illumination I produced on a surface by a source of light varies directly as the candlepower c of the source and inversely as the square of the distance d between the source and the surface.

A. I = 
B. I = 
C. I = 
D. I = kcd2

Mathematics