Riemman Sums

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

For a function that is strictly increasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

For a function that is strictly decreasing, a trapezoidal approximation will be which of the following:

• Underestimate
• Overestimate
• Exact Solution
• Unable to Determine

What statement best describes the Riemann Sum?

• 4 intervals, with heights using middle values

• 4 intervals, with heights using left values

• 5 intervals, with heights using middle values

• 5 intervals, with heights using right values

What is the approximate area under the curve, using 4 intervals with heights using left values?

• 20

• 14

• 10

• 8

What is the approximate area under the parabola using 4 intervals with heights using right values?

• 6

• 10

• 11

• 20

Which estimate of the area is the largest?

• 4 intervals with heights using right values 14

• 2 intervals with heights using middle values 12

• 2 intervals with heights using right values 16

• 4 intervals with heights using left values 14