Find the limit.

A.
B. 0
C. 1
D. Does not exist


Answer: A

Mathematics

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For the given expression y'(x), sketch the general shape of the graph of y = f(x). [Hint: it may be helpful to find y".]y' = x-2/3(x - 1)

A.

B.

C.

D.

Mathematics

Solve.The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate  of power when  of current is flowing through the resistor whose resistance is  find the power that a resistor needs to dissipate when  of

current are flowing through a resistor whose resistance is 

A. 405 watts
B. 90 watts
C. 45 watts
D. 225 watts

Mathematics

Solve the problem.An earthquake had an intensity 10 6.1 times more powerful than a reference level earthquake, or  What was the magnitude of this earthquake on the Richter scale? 

A. 6.1 B. 3.9 C. 14 D. 16.1

Mathematics

Find the inverse of the function.f(x) = x3 + 6

A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) =  - 6
D. Not invertible

Mathematics