Answer:
(9ln(3) -6)/4 ≈ 0.97187765
Step-by-step explanation:
A horizontal slice of the area will range from g^-1(y) to f^-1(y). The inverse functions are ...
f^-1(x) = 1/2·ln(x)
g^-1(x) = -1/4·ln(x)
Then the integral can be written as ...

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The attachment shows a numerical integration using a vertical slice of area. The result is identical to 12 significant figures.
Answer:
The carts velocity= 2m/s
Step-by-step explanation:
It took Manuel 87 seconds to push a shopping cart directly to his car.
One third of 87 = 87/3 = 29
In 29 seconds the carts moved 58 meter's.
The carts velocity = distance/time
The carts velocity = 58/29
The carts velocity= 2m/s
ANSWER
The midpoint of both diagonals is

EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula

Let us use the first diagonals H(-2,2) and J(4,-2)



Using the second diagonals also gives,


Answer:
C) B = 38.8°, C = 93.2°, c ≈ 43
Step-by-step explanation:
For triangle: a / sin A = b / sin B = c / sinC
32 / sin 48° = 32 / 0.743
32 / 0.743 = 27 / Sin B sin B = 0.627
<u>B = 38.8°</u>
C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998
32 / 0.743 = c / 0.998 = 42.98 (<u>≈ 43</u>)