Answer:

Step-by-step explanation:

Evaluate






Thus, the answer is 
<em>~Lenvy~</em>
f(x) increase by a factor of 3
Explanation:
Given that f(x)= 3* and the interval is x=4 to x=57
Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.
Because the x is multiplied with 3 i.e., 3*
So f(x) increase by a factor of 3.
If we put x=4, then f(x)= 12 (∵ 3×4=12)
If we put x=5, the f(x)= 15 (∵ 3×5=15)
If we put x=6,the f(x)= 18 (∵ 3×6=18)
similarly., values of x= 7,8,9,...155.
Then,
If we put x=56, the f(x)=168
This process will continue until f(x)=171 for x=57.
Answer:
The rate at which Perimeter of the square is increasing is
.
Step-by-step explanation:
Given:
Circumference of the circle = 
Rate of change of in circumference = 6 in/secs
We need to find the rate at which the perimeter of the square is increasing
Solution:
Now we know that;

Now we know that;
side of the square= diameter of the circle
side of the square = 
Now Perimeter of the square is given by 4 times length of the side.

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

But 
So we get;

Hence The rate at which Perimeter of the square is increasing is
.
(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5
(8x - 12)
8(5) - 12
40 - 12
28
(2x + 18)
2(5) + 18
10 + 18
28
Answer:
x = 5