![6. [-13 Points] DETAILS SESSCALC2 4.1.019. Let A be the area under the graph of an increasing continuous function f from a to](http://img.homeworklib.com/questions/81474250-eaaa-11ea-b611-bf19e3c483e1.png?x-oss-process=image/resize,w_560)
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6. [-13 Points] DETAILS SESSCALC2 4.1.019. Let A be the area under the graph of an...
Let f(x) = 14 − 2x. (a) Sketch the region R under the graph of f...
Let f(x) = 14 − 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area (in square units) of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units (d) Compare the approximations obtained in parts (b)...
MY NOTES 5. - 6 POINTS SCALCLS15.1.004. (*) Estimate the area under the graph of 4...
MY NOTES 5. - 6 POINTS SCALCLS15.1.004. (*) Estimate the area under the graph of 4 rectangles and right a r ound your answers to four decimal places) Sketch the graph and the rectangle 6 f(x) = 45 f(x) 4x Is your estimate an underestimate or an overestimate overestimate underestimate (b) Repeat part (a) using left endpoints. Sketch the graph and the rectangles. Sketch the graph and the rectangles. of f(x) = 45 6 f(x) = 45 6 f(x) =...
(a) Estimate the area under the graph of f(x) = 2/x from x = 1 to...
(a) Estimate the area under the graph of f(x) = 2/x from x = 1 to x = 5 using four approximating rectangles and right endpoints. | R = (b) Repeat part (a) using left endpoints. L = (c) By looking at a sketch of the graph and the rectangles, determine for each estimate whether is overestimates, underestimates, or is the exact area. ? 1. R4 42. L
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of...
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of y = f(x) and between x = 0 and * = 4. Remember to label axes and important points! (b) (4 points) Approximate the area A of the region S using rectangles by dividing (0,4into four equal subintervals and creating rectangles with the right endpoints. Here you will be calculating R4. It may help to draw the rectangles on your graph (c) (2 points)...
4. Suppose you approximate the area under f(x) = sin(x)+2 on the domain sxs with n=4...
4. Suppose you approximate the area under f(x) = sin(x)+2 on the domain sxs with n=4 rectangles, using right endpoints. Hint- Be sure your calculator is in radian mode. a. Find the width of each rectangle. b. What are the x-values of the right endpoints that you will need? c. Draw a sketch of this function and the 4 right rectangles. d. How will this approximation of the area under the curve compare to the actual area under it? (You...
Approximate the area under the graph of f(x) and above the X-axis with rectangles
f(x) = 3/x+4, from x = 1 to x = 9 Approximate the area under the graph of f(x) and above the X-axis with rectangles, using the following methods with n=4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. The area, approximated using the left endpoints, is _______ (Round to two decimal places as needed.)
XN +4, from x= 1 to x=9 Approximate the area under the graph of f(x) and...
XN +4, from x= 1 to x=9 Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. . J. The area, approximated using the left endpoints, is (Round to two decimal places as needed.) The area, approximated using the right endpoints, is (Round to two decimal places as...
(2 points) The area A of the region S that lies under the graph of the...
(2 points) The area \(A\) of the region \(S\) that lies under the graph of the continuous function \(f\) on the interval \([a, b]\) is the limit of the sum of the areas of approximating rectangles:$$ A=\lim _{n \rightarrow \infty}\left[f\left(x_{1}\right) \Delta x+f\left(x_{2}\right) \Delta x+\ldots+f\left(x_{n}\right) \Delta x\right]=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x $$where \(\Delta x=\frac{b-a}{n}\) and \(x_{i}=a+i \Delta x\).The expression$$ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{8 n} \tan \left(\frac{i \pi}{8 n}\right) $$gives the area of the function \(f(x)=\) on...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curv...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off...
B and C Please! Rate for sure
Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
MY NOTES 5. - 6 POINTS SCALCLS15.1.004. (*) Estimate the area under the graph of 4 rectangles and right a r ound your answers to four decimal places) Sketch the graph and the rectangle 6 f(x) = 45 f(x) 4x Is your estimate an underestimate or an overestimate overestimate underestimate (b) Repeat part (a) using left endpoints. Sketch the graph and the rectangles. Sketch the graph and the rectangles. of f(x) = 45 6 f(x) = 45 6 f(x) =...
(a) Estimate the area under the graph of f(x) = 2/x from x = 1 to x = 5 using four approximating rectangles and right endpoints. | R = (b) Repeat part (a) using left endpoints. L = (c) By looking at a sketch of the graph and the rectangles, determine for each estimate whether is overestimates, underestimates, or is the exact area. ? 1. R4 42. L
1. Let f(1) = ***+3. (a) (3 points) Sketch the region S below the graph of y = f(x) and between x = 0 and * = 4. Remember to label axes and important points! (b) (4 points) Approximate the area A of the region S using rectangles by dividing (0,4into four equal subintervals and creating rectangles with the right endpoints. Here you will be calculating R4. It may help to draw the rectangles on your graph (c) (2 points)...
4. Suppose you approximate the area under f(x) = sin(x)+2 on the domain sxs with n=4 rectangles, using right endpoints. Hint- Be sure your calculator is in radian mode. a. Find the width of each rectangle. b. What are the x-values of the right endpoints that you will need? c. Draw a sketch of this function and the 4 right rectangles. d. How will this approximation of the area under the curve compare to the actual area under it? (You...
XN +4, from x= 1 to x=9 Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. . J. The area, approximated using the left endpoints, is (Round to two decimal places as needed.) The area, approximated using the right endpoints, is (Round to two decimal places as...
(2 points) The area \(A\) of the region \(S\) that lies under the graph of the continuous function \(f\) on the interval \([a, b]\) is the limit of the sum of the areas of approximating rectangles:$$ A=\lim _{n \rightarrow \infty}\left[f\left(x_{1}\right) \Delta x+f\left(x_{2}\right) \Delta x+\ldots+f\left(x_{n}\right) \Delta x\right]=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x $$where \(\Delta x=\frac{b-a}{n}\) and \(x_{i}=a+i \Delta x\).The expression$$ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\pi}{8 n} \tan \left(\frac{i \pi}{8 n}\right) $$gives the area of the function \(f(x)=\) on...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
B and C Please! Rate for sure
Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
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