Answer:
a)
,
,
,
, b)
,
,
, 
Step-by-step explanation:
a) The equation must be rearranged into a form with one fundamental trigonometric function first:





Value of x is contained in the following sets of solutions:
, 
, 
b) The equation must be simplified first:




Value of x is contained in the following sets of solutions:
, 
, 
Answer:
x less than or equal to 86
Step-by-step explanation:
this is because x represents the number of people since the bus cant hold anymore than 86 you can only have 86 or less people on the bus
Answer:
it would be a fraction of a sec
Step-by-step explanation:
see if you just simply took out a calculator you would see its not possible unless you knew what the balloon is descending at during the fraction of the seconds
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
32, because 8*4 is 32
Step-by-step explanation: