The base of a ladder is placed 2.8m away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calcu
2 answers:
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Answer:
T = 3.967 C
Step-by-step explanation:
Density = mass / volume
Use the mass = 1kg and volume as the equation given V, we will come up with the following equation
D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3
= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1
Find the first derivative of D with respect to temperature T
dD/dT =
Let dD/dT = 0 to find the critical value we will get
= 0
Using formula of quadratic, we get the roots:
T = 79.53 and T = 3.967
Since the temperature is only between 0 and 30, pick T = 3.967
Find 2nd derivative to check whether the equation will have maximum value:
Substituting the value with T=3.967,
d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value
Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of
D = 1/0.001 = 1000 kg/m3
Therefore T = 3.967 C
Answer:
Step-by-step explanation:
A rational function is
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
Step 1: We have asymptote as 0 and -1 so our denomiator will include
Which is
So our denomator so far is
Step 2: Find Holes.
Since 12 is the value of the hole,
is a the binomial.
This will be both on the numerator and denomator so qe have
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
Above is the function,