Find the area between the graph of the given function and the
Consider the functions
a. Use your calculator to approximate
b. Based on your answer from part a, would you guess that
c. Use your calculator to approximate
d. Based on your answer from part c, would you guess that
e. Show how the answer to parts b and d might be guessed by comparing the integrals with others whose convergence or divergence is known. (Hint: For large
Note: The first
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Calculus For The Life Sciences
- Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.arrow_forwardWhy do we restrict the domain of the function f(x)=x2 to find the function's inverse?arrow_forwardThe radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is pumped into the balloon, so the volume after t seconds is given by V(t)=10+20t . a. Find the composite function r(V(t)) . b.Find the exact time when the radius reaches 10 inches.arrow_forward
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