Find the surface area of the prism.<br> 2 om<br> Som<br> 17 cm<br> lem?

Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

3 years ago

Exercise 1.2 1 Round each of these numbers to the degree of accuracy shown in brackets. a) 7765 (nearest hundred). b) 1099 (near

wlad13 [49]

Answer:

a. 700

b. 1000

c. 80

d. 700

e.

6 0

2 years ago

Represent 8 as an expression.

klio [65]

Answer:

x + 8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the prime factorization of 48?

babunello [35]

Answer:

2x2x2x2x3

Step-by-step explanation:

6 0

3 years ago

Find the point closest to the origin in the line of intersection of the planes y + 2z = 10 and x + y = 11. The point closest to

Bogdan [553]

Answer with explanation:

The equation of two planes are

1.→y +2 z=10

2.→x+y=11

To find the point of Intersection of two planes

let,→ y=t

→2 z=10 - t

10 -2 z=t

→x=11 -t

11 -x=t

So,Writing equation of line which is intersection of two planes

→ 11 -x = y= 10-2 z=t

$\rightarrow \frac{x-11}{-1}=\frac{y}{1}=\frac{z-5}{\frac{-1}{2}}=t$

---------------------------------(1)

⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be

=(11, 0, 10)

6 0

3 years ago

Find the surface area of the prism. 2 om Som 17 cm lem?