Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
Answer:
t_a = 7 s
t_w = 5 s
Step-by-step explanation:
Given:
- The average speed in air v_a = 16 m/s
- The average speed in water v_w = 3 m/s
- The total distance D = 127 m
- The total time T = 12 s
Find:
How long did the stone fall in air and how long did it fall in the water?
Solution:
- Lets time taken by stone to drop through air as t_a = t_a.
- The time taken in water would be t_w = (12 - t_a)
- The total distance covered can be calculated as:
D = v_a*t_a+ v_w*(12 - t_a)
127 = 16*t_a + 3*(12 - t_a)
Simplify and solve for t:
91 = 16*t_a - 3t_a
13*t_a = 91
t_a = 7 s
t_w = 5 s
Answer:
3^2 * 3^5 = 3^7
Step-by-step explanation:
I assume you mean this:
If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.
Answer:
Hence total number freshman presented are 655.
The system is relative system as there is correlation between freshman and
sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>
Step-by-step explanation:
Given:
1250 total students of sophomores and freshman.
To Find:
freshman count and its type of system used.
Solution:
We have that ,
consider x be the no.of freshman and y be the sophomores
So by given condition,
x+y=1250 ,..............................Equation(1)
And other one,
x=60+y
Use above value in equation (1) we get ,
60+y+y=1250
2y=1250-60
y=595
Now number of freshman ,
x+y=1250
x=1250-595
x=655
Hence total number freshman presented are 655.
The system represent the relative proportion system.The break even and total value should include all students in university .
Relative means in relationship with one another .
As there are 60 more number of freshman than the sophomores.
Answer:135
Step-by-step explanation:
