Do Homework- Divya Patel -Google Chrome https v wmathx com Student playerHomewor

Question

Do Homework- Divya Patel -Google Chrome https v wmathx com Student playerHomework.aspx?homeworklds 4438021 66&questionlds3;&fushedstrue;&cid;=4656354&center; re WF17 MA 150 Calculs 1 Homework: Section 5.1 Homework Score: 0 of 1 pt 2 of 4 (3 complete) Use finite approximations to estimate the area under the graph of the function f(x)-8-x-2x between x -4 and x 2 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

Explanation / Answer

y=f(x)=8-x2-2x

a)

a=-4 ,b=2 ,n=2,x=[2-(-4)]/2 =3

intervals are [-4,-1],[-1,2]

lower sum=x(f(-4)+f(2))

lower sum=3(0+0)

lower sum=0

------------------------------------------

b)

a=-4 ,b=2 ,n=2,x=[2-(-4)]/2 =3

intervals are [-4,-1],[-1,2]

upper sum=x(f(-1)+f(-1))

upper sum=3(9+9)

upper sum=54

--------------------------------------------

c)

a=-4 ,b=2 ,n=4,x=[2-(-4)]/4 =1.5

intervals are [-4,-2.5],[-2.5,-1],[-1,0.5],[0.5,2]

lower sum=x(f(-4)+f(-2.5)+f(0.5)+f(2))

lower sum=1.5(0+6.75+6.75+0)

lower sum=20.25

------------------------------------------

d)

a=-4 ,b=2 ,n=2,x=[2-(-4)]/2 =3

intervals are [-4,-2.5],[-2.5,-1],[-1,0.5],[0.5,2]

upper sum=x(f(-2.5)+f(-1)+f(-1)+f(0.5))

upper sum=1.5(6.75+9+9+6.75)

upper sum=47.25

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.