a. Given is that A=10q^2 and q=0.6R^2. Write A as a function of R.
b. If R=0,04s^2/3, then S=a*R^b. Calculate a and b
c. Given is that A=p^1.5 + pK^q with p=16 and q=3/4. Write K as a function of A
+128407 a. Given is that A=10q^2 and q=0.6R^2. Write A as a function of R.
A = 10 ( 0.6R^2)^2 = 10 ( .36 R^4) = 3.6R^4
b. If R=0.04S^(2/3), then S=a*R^b. Calculate a and b
Using the first equation : (R/ 0.04)^(3/2) = S
Using the second equation
(R/0.04)^(3/2) = a*R^b
(R)^(3/2) / ( 0.04)^(3/2) = a * R ^b
R^(3/2) / ( 4/100)^(3/2) = a* R^b
R^(3/2) * (25)^(3/2) = a * R^b
R^(3/2) *125 = a* R^b
a = 125 b = (3/2)
c. Given is that A=p^1.5 + pK^q with p=16 and q=3/4. Write K as a function of A
A = 16^(1.5) + 16* K^(3/4)
A = 16^(3/2) + 16 K^(3/4)
A = 64 + 16 K^(3/4)
A - 64 = 16 K^(3/4)
[A - 64] / 16 = K^(3/4)
( [A -64 ] / 16 )^(4/3) = K
