Use implicit differentiation to find an equation of the tangent line to the curve at the given point.


Mathematics

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Provide an appropriate response.It took 21 seconds for the temperature to rise from 10° F to 141° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of  ° F/sec. Explain.

What will be an ideal response?

Mathematics

Perform the indicated operation. Simplify, if possible. + 

A.
B.  
C.  
D.  

Mathematics

Solve the systems of equations by the addition method. 

A.
B. {(7, 28)}
C. no solution; ?
D. {(2, 4)}

Mathematics

Solve the problem.The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 64 cm long plays a B, what is the length of the string that plays a D?

A. 64 cm B. 91 cm C. 108 cm D. 80 cm

Mathematics