Answer:
Step-by-step explanation:
Area of the shaded region→
→
→
hope it helps..
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12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks b
1 answer:
Answer:
The number of ways are 40320.
Step-by-step explanation:
Consider the provided information.
Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.
We need to determine the number of different ways to put eight cookbooks on the shelf.
We need to select 8 cookbooks taking 8 at a time.
So use the permutation formula:
Substitute n=8 and simplify.
Hence, the number of ways are 40320.
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The expression of integral as a limit of Riemann sums of given integral is 4
∑
from i=1 to i=n.
Given an integral .
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=
∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=
∑f(a+iΔx)Δx=
∑
=4∑
Hence the expression of integral as a limit of Riemann sums of given integral is 4
∑
from i=1 to i=n.
Learn more about integral at brainly.com/question/27419605
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Irratonal numbers can't be written as a/b where a and b are integers and b≠0
so if it can be written in form a/b then it is not irrational
, it's rational
1/5 is rational
it's irrational because we can't simplify the square root further
6.3=6.3/1=63/100, rationanl
answer is
is irrational
so if it can be written in form a/b then it is not irrational
1/5 is rational
6.3=6.3/1=63/100, rationanl
answer is