Question

Use finite approximation to estimate the area under the graph of f(x)=x2 and above the graph...

Use finite approximation to estimate the area under the graph of f(x)=x2 and above the graph of f(x)=0 from x0=0 to xn =12 using

​i) a lower sum with two rectangles of equal width.
​ii) a lower sum with four rectangles of equal width.
​iii) an upper sum with two rectangles of equal width.
​iv) an upper sum with four rectangles of equal width.

The estimated area using a lower sum with two rectangles of equal width is ______ square units.

The estimated area using a lower sum with four rectangles of equal width is ______square units.

The estimated area using an upper sum with two rectangles of equal width is ______square units.

The estimated area using an upper sum with four rectangles of equal width is ______ square units.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Use finite approximation to estimate the area under the graph of f(x) = x^2 and...
1) Use finite approximation to estimate the area under the graph of f(x) = x^2 and above the graph of f(x) = 0 from Xo = 0 to Xn= 2 using i) a lower sum with two rectangles of equal width ii) a lower sum with four rectangles of equal width iii) an upper sum with two rectangles of equal width iv) an upper sum with four rectangles if equal width 2) Use finite approximation to estimate the area under...
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x...
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x between x = −4 and x = 6 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between...
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between x = −2 and x = 4 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Estimate the area under the graph of f left parenthesis x right parenthesis equals 5 x...
Estimate the area under the graph of f left parenthesis x right parenthesis equals 5 x cubed f(x)=5x3 between x equals 0 x=0 and x equals 1 x=1 using each finite approximation below. a. A lower sum with two rectangles of equal width b. A lower sum with four rectangles of equal width c. An upper sum with two rectangles of equal width d. An upper sum with four rectangles of equal width
Use a finite approximation to estimate the area under the graph of the given function on...
Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed. 1) f(x) = x 2 between x = 3 and x = 7 using a left sum with four rectangles of equal width.
(1 bookmark) Use the midpoint rule to estimate the area under graph of f(x) =5/x and...
(1 bookmark) Use the midpoint rule to estimate the area under graph of f(x) =5/x and above the graph of f(x) = 0 from X0 = 1 to Xn =65 Using two rectangles equal width and four rectangles of equal width
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x...
(a) Approximate the area of the region beneath the graph of f(x) = e−x2, from x = −1 to x = 1 using (i) four left rectangles, (ii) four right rectangles, and (iii) four midpoint rectangles (answer with 3 decimal points). (b) The actual area, to nine decimal places, of the region beneath the graph of f(x) = e−x2 is 1.493648266. Which of the approximations found in part (a) is the most accurate?
Estimate the area under the graph of f(x)=x2+3x from x=1 to x=4 using 33 approximating rectangles...
Estimate the area under the graph of f(x)=x2+3x from x=1 to x=4 using 33 approximating rectangles and left endpoints. Approximation =
Estimate the area under the graph of f(x)=x2+4x from x=2 to x=10 using 4 approximating rectangles...
Estimate the area under the graph of f(x)=x2+4x from x=2 to x=10 using 4 approximating rectangles and left endpoints. Approximation =
Estimate the area under the graph of f ( x ) = 1 x + 1...
Estimate the area under the graph of f ( x ) = 1 x + 1 over the interval [ 3 , 5 ] using two hundred approximating rectangles and right endpoints R n = Repeat the approximation using left endpoints L n =