What is the value of x? (2x-54) (16)°
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Answer:
Step-by-step explanation:
Let d represent number of dolls in 2nd basket.
We have been given that a day-care center has 2 baskets of dolls. One basket has 8 dolls, and the other basket has an unknown number of dolls in it. We are asked to represent this situation in an expression.
The number in both baskets would be equal to dolls in 1st basket plus dolls in 2nd basket.
We can represent this information in an expression as:
Therefore, our required expression would be , where d represents number of dolls in 2nd basket.
We have been given a function . We are asked to find the interval on which function is increasing and decreasing.
(a). First of all, we will find the critical points of function by equating derivative with 0.
So are critical points and these will divide our function in 3 intervals
.
Now we will find derivative over each interval as:
Since , therefore, function is increasing on interval
.
Since , therefore, function is decreasing on interval
.
Let us check for the derivative at .
Since , therefore, function is increasing on interval
.
(b) Since are critical points, so these will be either a maximum or minimum.
Let us find values of f(x) on these two points.
Therefore, is a local maximum and
is a local minimum.
(c) To find inflection points, we need to check where 2nd derivative is equal to 0.
Let us find 2nd derivative.
Therefore, is an inflection point of given function.