Let 
. Sketch the region R under the graph of f on the interval [0, 3], and use a Riemann sum with five subintervals of equal length 
to approximate the area of R. Choose the
representative points to be the right endpoints of the subintervals.
?
A. ?
Area approximation with a Riemann sum with five subintervals is 9 sq units.
?
B. ?
Area approximation with a Riemann sum with five subintervals is 8.1 sq units.
?
C. ?
Area approximation with a Riemann sum with five subintervals is 7.2 sq units.
?
D. ?
Area approximation with a Riemann sum with five subintervals is 10.8 sq units.
?
Answer: C
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Solve the system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.
A. 
B. 
C. 
D. 
In the energy demand problem above, the demand vectors could be represented in a 2 row matrix, where row 1 contains the energy demands of the consumers and row 2 contains the energy demands of the energy industries:D = 
A researcher is studying the effects on the local economy of changes in the original demand matrix. He models one change by the matrix equation D1 = D + 0.5D. Calculate the new demand matrix in his model.
What will be an ideal response?
Use the quadratic formula to solve the equation.2x2 + 8x + 3 = 0
A. 
B. 
C. 
D. 
Find the surface area of the figure. Use 3.14 for ?. Round your answer to hundredths.
A. 205.15 sq. in. B. 1,436.03 sq. in. C. 615.44 sq. in. D. 153.86 sq. in.