The following graph depicts the area between the x-axis and a functions curve. You can zoom in and out using the scroll on the mouse. You can move the graph by clicking in an empty space and dragging. n = 6 Show Right Endpt Sum Show LeftEndpt Sum 4 Show Actual Area 2 A C -2 0 2 4 6 8 10 RIGHT:2.38 LEFT: 3.88 EXACT AREA: 3 APPROX AREA: 3,88 What is the smallest value of n > 1 for which the left endpoint sum differs from the exact area by at most 0.2? n What is the smallest value of n > 1 for which the right endpoint sum differs from the exact area by at most 0.1? n
Added by Jose Antonio B.
Close
Step 1
88 Exact area: 3 Difference: 3.88 - 3 = 0.88 Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 89 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = -x^2/6 + 2x on the interval [4, 8]. The value of this left endpoint Riemann sum is, and it is an the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 4 and x = 8. Left endpoint Riemann sum for y = -x^2/6 + 2x on [4, 8] The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = -x^2/6 + 2x on the interval [4, 8]. The value of this right endpoint Riemann sum is, and it is an the area of the region.
Madhur L.
Use a Riemann sum to approximate the area under the graph of $f(x)$ in Fig. 14 on the given interval, with selected points as specified. Draw the approximating rectangles. (FIGURE CAN'T COPY) $3 \leq x \leq 7, n=4,$ left endpoints
The Definite Integral
The Definite Integral and Net Change of a Function
Complete the following steps for the given function f and interval. a. For the given value of n, use sigma notation to write the left, right, and midpoint Riemann sums. Then evaluate each sum using a calculator. b. Based on the approximations found in part (a), estimate the area of the region bounded by the graph of f on the interval. f(x) = √x for [0,25]; n = 40 a. Write the left Riemann sum. Choose the correct answer below.
Vincenzo Z.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD