-4b-8 + -1b^2 +2b^3
-4(-2)-8+-1(-2)^2+2(-2)^3
8-8+2^2-4^3
4-64
60
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
Answer:
Step-by-step explanation:
<u>Given function:</u>
- c(x) = 400 + 25x
- where x is the number of complete video games.
The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.
Correct choice is (4)
Answer:
Step-by-step explanation:
Given
Required
Determine the perimeter
The perimeter is calculated as the sum of the lengths of the irregular shape.
i.e.
Remove brackets
Collect Like Terms
Convert mixed number to improper fraction.
Take LCM
Take LCM
<em>--- The perimeter of the shape</em>
