I'm guessing the function is
whose first few derivatives are
with a general pattern of
Then has power series (centered at 0)
which is a geometric series, converging only for
(this is the interval of convergence)
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If you know that for
then we can derive the same series by manipulating this result:
Answer:
- 278.4°F
Step-by-step explanation:
Temperature of Object ( T ) = 1200° F
Temperature of surrounding ( M ) = 80°F
Time ( t ) = 1 hour
dT / dt ∝ ( M - T )
dT /dt ∝ | ( 80 - 1200 ) |
dT / dt = k ( 1120 )
(1200 - 830 ) / 1 = k ( 1120 )
hence k = ( 1200 - 830 ) / 1120
= 370 / 1120 = 0.33
<u>what is the object's temperature (x )after 4 hours </u>
( 1200 - x ) / 4 = 0.33 ( 1120 )
( 1200 - x ) / 4 = 369.6
hence x = 1200 - ( 4 * 369.6 )
= - 278.4 ° F
The answer is 250 cm³
We need to calculate V = Vr - Vp
V - the <span>volume of the space outside the pyramid but inside the prism
Vr - the volume of the rectangular prism.
</span>Vp - the volume of the pyramid<span>
Vr = w * l * h
w = l = 5 cm
h1 = 12 cm
Vr = 5 * 5 * 12 = 300 cm</span>³<span>
Vp = w * l * h / 3
w = l = 5 cm
h2 = h1/2 = 12/2 = 6 cm
Vp = 5 * 5 * 6 / 3 = 50 cm</span>³
V = Vr - Vp = 300 cm³ - 50 cm³ = 250 cm³
Answer:
35 is its width and 63 is its length.
Step-by-step explanation:
7 x 5 = 35 and 98 - 35 equals 63 which is the length.