Solve the problem.If f(x) = x2 and g(x) = -1 + 5x, find (f ?g)(x) and find the domain of (f ? g)(x).
What will be an ideal response?
(f ?g)(x) = (-1 + 5x)2; Domain: all real numbers
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Solve the problem.A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is 
In how many years will there be 93% of the isotope left?
A. 363 years B. 253 years C. 350 years D. 700 years
Find the derivative of the function.y = 4 ln sin2 2x
A. 16 cot 2x
B. 4 tan 2x
C. 
D. 
Evaluate the integral.
A. 
- 7 ln
B. - 
ln
+ C
C. - 
ln
+ C
D. - 
+ C
Solve the problem.A plate shaped like an equilateral triangle 1 m on a side is placed on a vertical wall 2 m below the surface of a pool filled with water. On which plate in the figure is the force greater? Try to anticipate the answer and then compute the force on each plate. Round to three decimal places when appropriate. 
A. plate 2 plate 1: 9712.049 N plate 2: 10,937.049 N B. plate 1 plate 1: 5468.524 N plate 2: 4856.024 N C. plate 2 plate 1: 4856.024 N plate 2: 5468.524 N D. plate 1 plate 1: 10,937.049 N plate 2: 9712.049 N