The tangent line to the graph of  at  is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of

style="vertical-align:middle;" /> at P.

?



?



A. -3

B. 3

C. -4

D. -5

E. does not exist


Answer: B

Mathematics

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A. m?e = m?f = 52°; m?d = 128° B. m?d = m?f = 52°; m?e = 128° C. m?d = m?f = 52°; m?e = 138° D. m?d = m?f = 52°; m?e = 38°

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Verify that each equation is an identity.  =  

What will be an ideal response?

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A colony of 5 million bacteria is growing in a culture medium. The population P after t hours is given by the formula. Find the population after 6 hours. Round to the nearest million. ?

A. 69 million bacteria B. 740 million bacteria C. 30 million bacteria D. 13 million bacteria E. 308 million bacteria

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Find the dot product, u ? v, for the given vectors.u = , v = 

A. 94 B. 101 C. -38 D. 86

Mathematics