Find the constant a and b such that the function ​ ​ is continuous on the entire real line. ​

Find the  x- values (if any) at which is not continuous.  ​

Find the constant a such that the function ​ ​ is continuous on the entire real line. ​

Find the limit (if it exists). Note that represents the greatest integer function. ​ ​

Discuss the continuity of the function . ​

A sphere has a volume of 4.20 cubic inches. What is the radius of the sphere? Round your answer to four decimal places. ​

Complete the table and use the result to estimate the limit.   –0.1 –0.01 –0.001 0.001 0.01 0.1 ​

Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point. ​   7 ​

A ring has a inner circumference of 8 centimeters. What is the radius of the ring? Round your answer to four decimal places. ​

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. ​ A cyclist is riding on a path whose elevation is modeled by the function wherexand are measured in miles. Find the rate of change of elevation when x= 3.