2a. 2b. 2c. For questions 1 and 2, consider the function f(x) =+ x +1 on the interval [0, 4]1210862-3-2-1231) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles andleft-hand endpoints.a)Whats the width, Ax, of each rectangle used in this approximation?人るl4= 2 (6i-)x= f(Xo) + flx) + flx)tfCX3)c0,4) and n=4Given the interval [aib] =b-a4-0= |4こnAxAX = 1b)List the gridpoints, xo, X1, X2, X3, X4, used in this approximation.メi+l=Xit AX'osX, = xo+ AX = 0+1 = 1Xz= 2ド2: Y」t Ax= Itl=2X3 = X2+ AX= 2+1 = 3X3 = 3X4=4X4 - x3+AX= 3+1= 4Gridpoints: 0, 1, 2, 3, 4c)Illustrate this area approximation by sketching the corresponding rectangles in the graph above.Math 1151Written Homework 5Autumn 2020d)Is this area approximation going to be an overestimate or an underestimate. Explain.We hnow that wnen the grapn is con care down Gne second derivative is negative )then me iine Will ve above +hne grapn and theapprox imati on is an overestimare, otherwise it is anunderestimare, cit the graph is con cOne up), From the grapn wecan observe thatthe graph ot fU)< x?+ xtl,on [0,4] wnich is given above as concavevp on c0,41. so the area approximation tor hrs grapn is goins to be anoverestimate .e)Calculate this area approximation.f(XoJ = fca) = fl0)=/+ (K J= fla) = flI)- 914+CXZ) = f(as= PlZ) = 4f(X3) = fla)= P(3)- a5)4ニ 2) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n rectangles andleft-hand endpoints. (Leave n as a parameter.)a)What is the width, Ax, of each rectangle used in this approximation?Ax =.b)Find a formula for the gridpoint x. (The only variables appearing in your expression should be k and n.)X =c)Write the Riemann sum for this area approximation in Sigma notation.Sigma notation:

a) Given that, the interval is [0, 4] and n=4. It is known that, the formula for ∆x=b-an. Obtain…

2) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n rectangles and left-hand endpoints. (Leave n as a parameter.) a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) Find a formula for the gridpoint xg. (The only variables appearing in your expression should be k and n.) Xk = c) Write the Riemann sum for this area approximation in Sigma notation. Sigma notation:

2) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n rectangles and left-hand endpoints. (Leave n as a parameter.) a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) Find a formula for the gridpoint xg. (The only variables appearing in your expression should be k and n.) Xk = c) Write the Riemann sum for this area approximation in Sigma notation. Sigma notation:

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

1. Find a b . (a) a =, b = (b) ā =, b = (c) a = 2i+ 3j - 4k, b =i-3j+k
2. Find the value of a + b + c. a+b√a с 3+ 7+ 1 1 1 3+7+"
The formula in cell A2 is =B$4+$C5 and is copied to B3. What will the formula in B3 be? Group of answer choices =C$4+$C5 =B$4+$D5 =B$4+$C6 =C$4+$C6
Me.paul drove from Drake to clay and back. From Drake he drove 312 miles took a break and then drove 244 miles to Clay. On his trip back to Drake from Clay he drove 305 miles before he took a break. If he drove the same route back how many miles did he drive the second part of his return trip?
Solve and find the missing values
7. Claire tried to evaluate an expression step by step. Find Claire's mistake. https://docs.google.com/forms/d/1Qc_TarXNrmkwE7vyjreRWXgiNfOHiLIph8bXcvo4ow/edit 5/7 T 6/7/2021 Mod 5 Accelerated 2- Common Assessment 4A - Google Forms 4000 4 - 10-5 4 102 4 10-5 Step 1 4 102 4 10 Step 2 -1-10 Step 3 DELL 00
Man.3 The ratio of boys to girls at Wells College is currently 3 to 7 . If there are 525 girls, how many boys are enrolled this year?
3.) The sum of the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6 years older than Bong. How old is Boyet?
Answers for A & B please.
1 3) 6b² 1 1 6b b? b+6 4) 4b² 3 b+4 2b? 2b?
If a dark bag weighs the same as a checkered bag and 4 coins, ..... A a light bag and two darks weigh the same as two checkered bags 5ō and a light bag weighs the same as a dark and a checkered, How many coins did Jane put in each dark bag? Light bag? Checkered bag? Dark han:
4 2 k. 6. Super Teacher W 000 00ם F1 F4