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Natalija [7]
4 years ago
6

Many practical applications require calculations of area. some of these calculations are straightforward, but others are more di

fficult, and it turns out that the idea of the definite integral can help us with the more difficult cases. let’s start with some familiar shapes. what is the area of a rectangle of length l and width w? express your answer in terms of l and w.
Mathematics
1 answer:
pochemuha4 years ago
8 0
Area of a rectangle is given by multiplying the length and the width

Let's length be 'l' and width be 'w', then the area is

A = l × w
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Solve for the indicated variable: ⅖(z + 1) = y for z.
sweet [91]

Answer:

  z = 5/2y -1

Step-by-step explanation:

We observe that z has ...

  • 1 added
  • the sum multiplied by 2/5

To solve for z, we undo these operations in reverse order.

  \dfrac{2}{5}(z+1)=y\qquad\text{given}\\\\z+1=\dfrac{5}{2}y\qquad\text{multiply by 5/2}\\\\\boxed{z=\dfrac{5}{2}y-1}\qquad\text{subtract 1}

5 0
3 years ago
Read 2 more answers
Shameka is tossing acorns into a hole. She started with 800 acorns in the hole. On average, she gets 75 acorns per hour in the h
tigry1 [53]
800+75h=a. 800 is what she started with so you have to add that on to the 75 acorns per hour she gets, since you don't know how many hours the variable remains h and a is going to represent the total number at the end
3 0
3 years ago
I picked random so please help me
Anna [14]

9514 1404 393

Answer:

  A.  6, 24, 96, 384

Step-by-step explanation:

The recursive formula tells you that the next number in sequence is 4 times the previous one.

For first term 6, the second term is 4·6 = 24.

For 2nd term 24, the third term is 4·24 = 96.

For 3rd term 96, the fourth term is 4·96 = 384.

The first four terms of the sequence are ...

  6, 24, 96, 384

__

You don't even need to figure all four terms. You know immediately which sequence is correct once you have found ...

  G_2=4*G_1=4*6=24

5 0
3 years ago
Verify the identity. <br><br>cot. (x - (pi/2)) = -tan x<br><br>Please, help me!!!
Leya [2.2K]

Answer:

cot . (x- π/2)= - tanx

Step-by-step explanation:

cot . (x- π/2)= - tanx

cot .x - cot π/2= - tanx

cot π/2= 1/tanπ/2

But tan π/2= ∞

cot π/2 = 1/∞= 0

cotx - 0= - tanx

cot x = - tanx

cosx/sinx= - sinx/cosx             Putting values of cot and tan

cosx/ sinx ( sinx/cos x) = -sinx/cos x  (sinx/cos x )  

Multiplying both sides with  sinx/cos x    

1= - sin²x/cos²x

cos²x= - sin²x                 as cosx = -sinx

5 0
3 years ago
Im really stuck on this one
Brums [2.3K]

Answer:

See below

Step-by-step explanation:

The first one IS decay...as 'x' increases the function decreases

the second and third are NOT ...as 'x' increases the value increases

radioactive decay IS decay (obviously)

the one with e^2x   is not ....it grows exponentially as x grows

and finally the last one is decay because as x gets larger the value of y gets smaller

7 0
2 years ago
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