Answer:
6.708
Step-by-step explanation:
- Y varies directly as the square of x (Given)
......(1)
- Y varies inversely as the square root of z (Given)
......(2)
- Combining (1) & (2), we find:
(Where k is constant of proportionality).....(3)
- Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.
- Plugging the value of k in (3), we find:
....(4)
- Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.
Answer: feh
Step-by-step explanation: feh feh feh feh feh
Answer:
s = 1.35 (See explanation!)
Step-by-step explanation:
To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:
Equation:
4s = 5.4
Note: the 4s is the total perimeter (4 * side)
Now, solve:
4s = 5.4
Divide by four to isolate the s:
4s/4 = 5.4/4
Finally:
s = 1.35
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
__
The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].
