Answer:
3.545 represents a value of 0.04
Answer:
6.4 Kilometers Per Hour
Step-by-step explanation:
To find how many kilometers per hour divide the kilometers traveled by the amount of hours they have rode.
25.6/4=6.4
Let's assume that number as x
so,
the sum of the number and its reciprocal is
Firstly, we will find derivative
now, we can set it to 0
and then we can solve for x
Since, only x=1 lies on [1/2,3/2]
so, we will consider only x=1
now, we can plug end values and x=1 into S
At x=1/2:
we can plug x=1/2
At x=1:
we can plug x=1
At x=3/2:
we can plug x=3/2
(a)
Smallest value:
The smallest value among them
So, a number is 1..........Answer
(b)
Largest value:
The largest value among them
So, a number is 
........Answer
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
Answer:
A. Out of the screen
Step-by-step explanation:
