Answer: a) S'(1) = 136; S'(2) = 104; S'(4) = 76;
b) S''(1) = -38; S''(2) = -26; S''(4) = -2
Step-by-step explanation:
a) S' means first derivative;
(6t³ - 45t² +180t +130) = 6t² - 50t + 180
S'(1) = 6.1² - 50.1 + 180
S'(1) = 136
S'(2) = 6.2² - 50.2 + 180
S'(2) = 104
S'(4) = 6.4² - 50.4 + 180
S'(4) = 76
b) S'' is the second derivative of S:
(6t² - 50t + 180) = 12t - 50
S''(1) = 12.1 - 50
S''(1) = -38
S''(2) = 12.2 - 50
S"(2) = -26
S"(4) = 12.6 - 50
S"(4) = -2
c) Derivative is the rate of change of a function. The first derivative is the slope of the tangent line to the graph if the function in a determined point, while the second derivative measures how the rate of change is changing.
Analysing the values, we can conclude that the sales of the product after t months is decreasing at a rate of 12.
Answer:
y= 2x -2
Step-by-step explanation:
You would use point- slope formula. y-y = m(x-x). With your numbers it would end up looking like this ----> y-6 = 2(x-4), then do the distributive property which then gives you ----> y-6 = 2x - 8, then subtract 6 on both sides and you get ---> y = 2x - 2. Hope this helped!!!!
Answer: 56
Step-by-step explanation: 7 * 2 * 4 = 56
Answer:
Length of mat = 4 inches
Width of mat = 12 inches
Area of table mat = 48 square inches
Step-by-step explanation:
Given
Perimeter = P = 32
Let l be the length of the table mat and w be the width of table mat
According to given statement
The perimeter of a rectangular object is given by:
Putting w=3l and value of P
Dividing both sides by 8
So
Length = l = 4 inches
And
Width = 3l = 3*4 = 12
Now
Hence,
Length of mat = 4 inches
Width of mat = 12 inches
Area of table mat = 48 square inches
