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2 years ago

What is the square root of 150 and 136? Thanks :)

Mathematics

1 answer:

algol132 years ago

7 0

The square root of 150 is 12.2474487139. The square root of 136 is 11.6619037897. And your welcome :)

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Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

2 years ago

Terry can run 15 miles in the same amount of time it takes mark to run 21 miles. If mark runs 2mph faster than terry, how fast d

Alisiya [41]

You need to multiply 21 *2

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2 years ago

There are two bowls. One of them has 60 gems and the other has 40 gems. Some of them are red. All the gems from the two bowls ar

uranmaximum [27]

Answer:

60/40

the awnser for the question is 3/2

5 0

2 years ago

To keep up with rising expenses, a motel manager

Tema [17]

22% of $40 is $8.80 so the now rate should be $40.00+$8.80=$48.80

6 0

2 years ago

Read 2 more answers

today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan

coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased = 5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

P(x=k) = $\frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}$ .......................1

P(x=2 ) = $\frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}$

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative) .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false) = 0.236842

P(x=2) = 0.2368

4 0

2 years ago