Reference no: EM13585819
1) Find the relative extrema of the function, if they exist. List each extremum along with the x-value at which it occurs. Then sketch a graph of the function.
G(x)=-x^3-x^2+5x-3
Identify all the relative minima.
A. The relative minima are __________
( simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answer as needed.
B. There is no relative minimum.
Identify all the relative Maxima.
A. The relative Maxima are _____________.
( simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answer as needed.
B. There is no relative maximum.
Make the Graph.
2) The function given by A(t)=0.0265t^3-0.448t^2+1.778t7.28,0 <t< 10, can be used to estimate the amount, in billions of dollars, invested by large oil companies in exploration for new reserves t years after 1995. Find the relative extreme points, and sketch a graph of the function.
Identify all the relative minimum points.
A. The relative minimum point(s) is/are __________?
(use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type an ordered pair. Use a comma to separate answers as needed)
A. There are no relative minimum points.
Identify all the relative maximum points.
A. The relative maximum point(s) is/are______________?
(use integers or decimals for any numbers in the expression. Round to four decimal places as needed. Type an ordered pair. Use a comma to separate answers as needed)
A. There are no relative maximum points.
Make the correct graph.
3) Find the relative extrema of the function, if they exist. List each extremum along with the x-value at which it occurs. Then sketch a graph of the function. G(x)=√x^2-8x+25
A. The relative minima are ________and the relative maxima are ________
(simplify your answer. Use integers or fractions for any number in the expression. Type an ordered pair. Use a comma to separate answers as needed)
B. The relative minima are ________ and there are no relative maxima.
simplify your answer. Use integers or fractions for any number in the expression. Type an ordered pair. Use a comma to separate answers as needed)
C. The relative maxima are __________and there are no relative minima.
simplify your answer. Use integers or fractions for any number in the expression. Type an ordered pair. Use a comma to separate answers as needed)
D. There are no relative minima and there are no relative maxima.