Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

We get:

So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function. 
local maximum is (0,5)
Answer:
The diameter of the circle = 10 cm
The radius of the circle= 10/2= 5 cm
Step-by-step explanation:
Area of the circle = pi r^2
= pi 5^2
=3.14 *25
= 78.5 cm ^2
Answer: 288pi in3
Step-by-step explanation:
Volume of a sphere= 4/3pir^3
R=6inches
V=4/3pir^3
V=4/3pi(6^3)
V=4/3pi(216)
V=864pi/3
V=288pi in^3
Answer:
a. y = (3/5)× x +1
Step-by-step explanation:
y= mx+c
m = (13-4)/(20-5) = 9/15 = 3/5
c= 1
so, y= mx+c becomes y= (3/5) × x +1
We are given table
Month : 1 2 3 4 5
Shoppers: 50 250 1250 6250 3250
so, we have
first term =50

Second term =250

Third term =1250



now, we can find ratios

we can see that all ratios are same and 5
so, this is exponential
so, option-D..........Answer