Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the formula 
obeys Condition II of the Principle of Mathematical Induction. That is, show that if the formula is true for some natural number k, it is also true for the next natural number 
. Then show that the formula is false for 
.
What will be an ideal response?
Assume the statement is true for some natural number k. Then
So the statement is true for 
.
However, when 
, the left side of the statement is 
, and the right side of the statement is 
, so the formula is false for 
.
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Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis
A. 98? B. 168? C. 84? D. 21?
Solve the problem.The table contains data that can be modeled by an exponential function of the form 
Use regression to determine an exponential function f that models this data. Round the coefficients to the nearest hundredth.
A. f(x) = (1.32)(5.97)x B. f(x) = (1.78)(1.63)x C. f(x) = (5.97)(1.32)x D. f(x) = (1.63)(1.78)x
Find the location and value of each local extremum for the function.
A. None B. (-2, 3), (2, 0) C. (2, 0) D. (-2, 3)
Solve the problem using a graphing calculator.A Ferris wheel with a radius of 38 feet turns clockwise at the rate of one revolution every 
The lowest point of the Ferris wheel is 18 feet above ground level at the point (0, 18) on a rectangular coordinate system. Find parametric equations for the position of a person on the Ferris wheel as a function of time (in seconds) if the Ferris wheel starts (t = 0) with the person at the point 
A. x = 38 cos (20t)° ft, y = 38 sin (20t)° + 56 ft B. x = 38 cos (20t)° ft, y = 38 sin (20t)° + 18 ft C. x = 38 cos (18t)° ft, y = 38 sin (18t)° + 18 ft D. x = 38 sin (20t)° ft, y = 38 cos (20t)° + 56 ft