Question

Which of the following is the right hand sum with n=3 rectangles for

?(?)=??

on the interval [-2,4]?

- A.
3(?1+?4)

- B.
?0+?2+?4

- C.
3(?−2+?1)

- D.
2(?−2+?0+?2)

- E.
2(?0+?2+?4)

Answer #1

Estimate the integral using a left-hand sum and a right-hand sum
with the given value of N.
∫41x√dx, n=3
Left-hand sum =
Right-hand sum =

Let f(x) = e^x. Evaluate a right Riemann sum for the interval
[−1, 1] for n = 4. You should include a picture of the
corresponding rectangles and state if this is an under or over
approximation of the area beneath the graph of f, above the x-axis
and between x = −1 and x = 1. In your solution, you should write
out all terms that go into the Riemann sum.

\sum _{n=1}^{\infty
}\left(\frac{3}{2^n}+\frac{8}{n\left(n+1\right)}\right)

(16) In Riemannian geometry:
(a) Some rectangles exist. (b) All rectangles exist. (c) No
rectangles exist. (d) All rectangles have angle-sum more than 360°
(e) Rectangles are undefined.

A particle is moving with the given data. Find the position of
the particle. a(t) = t2 − 5 t + 4, s'(0) = 0, s(1) = 1 s(t) =
Consider the function f(x) = x^2 - 2 x. Sketch the graph of f(x)
and divide the closed interval [-2,4] into 3 equal subintervals (To
get full credit, you must sketch the graph and corresponding
rectangles in your submitted work). a. Sketch the corresponding
rectangles by using Right endpoints in...

Estimate the area under the graph of f(x)=1/(x+3) over the
interval [−2,1] using ten approximating rectangles and
right endpoints. a=-2,b=1,n=10
Rn=?
Repeat the approximation using left endpoints.
Ln?
Accurate to 4 places.

Determine the radius and interval of convergence of the series
infinte sum n=0 n(x+2)^n / 3^n+1

Use the following expressions for left and right sums
left
sum
=
f(t0)Δt
+
f(t1)Δt
+
f(t2)Δt
+ +
f(tn −
1)Δt
right
sum
=
f(t1)Δt
+
f(t2)Δt
+
f(t3)Δt
+ +
f(tn)Δt
and the following table.
t
0
4
8
12
16
f(t)
25
22
20
18
15
(a) If n = 4, what is
Δt?
Δt =
What are
t0,
t1, t2,
t3,
t4?
t0
=
t1
=
t2
=
t3
=
t4
=
What are
f(t0),
f(t1),
f(t2),
f(t3),...

19. Which of the following sets of quantum number is not
allowed? A. n = 4, ℓ = 2, mℓ = -2 B. n = 5, ℓ = 0, mℓ = 0 C. n = 6,
ℓ = 3, mℓ = 1 D. n = 3, ℓ = 1, mℓ = −1 E. A–D are all allowed sets
of quantum numbers

Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n=4
f(x)=e^x+5 from x=-2 to x=2
(a) Use left endpoints.
(b) Use right endpoints.
(c) Average the answers in parts (a) and (b)
(d) Use midpoints.

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