All the numbers are multiplied by 2 or doubled.
So the missing number after 2 is 4.
After 16 is 32.
Answer:
Step-by-step explanation:
Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.
This implies it takes 5 minutes for the liquid to double.
This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.
Hence true statements would be:
1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
2) The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.
3) Exponential growth involves a constant multiplicative rate of change.
(The rate cannot be additional as we get 2 times every 5 minutes)
Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for
Step-by-step explanation:hope this helps
