Find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis. y = x, y =1, x
1 answer:
Answer:
The volume is: cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
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The question is incomplete, the complete question is below:
Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows: T(h) = 30.5 -2.5h.
a) Calculate T^-1(x)
b) T^-1(15)
Answer:
a)
b) 6.2 °C
Step-by-step explanation:
a)
b)
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Un = a + ( n - 1 ) b
U1.000 = 2 + ( 1.000 - 1 ) 6
U1.000 = 2 + ( 999 ) 6
U1.000 = 2 + 5.994
U.1000 = 5.996
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Answer:
∴ΔGHJ ≅ΔLMK
∴ΔABC≅ΔPQR
Step-by-step explanation:
5.
GH= 3.6 , HJ=2.84 and GJ=2.24
LK= 9 ,KM= 5.6 and LM = 7.1
Therefore ΔGHJ and ΔLMK satisfy SSS rule(side-side-side)
∴ΔGHJ ≅ΔLMK
6.
ΔABC
Since AB=AC this equivalent to the two angels of the triangle are equal
Then
∠CAB+∠CBA=180°-34°
⇔∠CAB=73° [∵∠CAB=∠CBA]
Similarly for ΔPQR ∴ ∠RPQ=∠RQP=73°
Therefore ΔABC and ΔPQR satisfy AAA rule(angle-angle-angle)
∴ΔABC≅ΔPQR