Answer:
absolute max=
(4.243,18)
absolute min =(-1,-5.916)
absolute max=(pi/6, 2.598)
absolute min = (pi/2,0)
Step-by-step explanation:
a)
To find max and minima in the given interval let us take log and differentiate
It is sufficient to find max or min of Y
In the given interval only 4.243 lies
And we find this is maximum hence maximum at (4.243,18)
Minimum value is only when x = -1 i.e. -5.916
b)
Equate I derivative to 0
-2sint +1-2sin^2 t=0
sint = 1/2 only satisfies I quadrant.
So when t = pi/6 we have maximum
Minimum is absolute mini in the interval i.e. (pi/2,0)
There are many ways to check if the point (1,3) is a solution to the linear equation .
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
Answer:
and
Step-by-step explanation:
First make all the fractions into improper fractions
After doing that put them back into the problems
Problem 1)
÷ , plug in the improper fractions
÷
to divide, you need to flip the second fraction and multiply
· =
then reduce
Problem 2)
÷
Plug in improper fraction
÷
Then flip second fraction and multiply
·
Multiply
Reduce, or make it a mixed number
Answer:
All real numbers
Step-by-step explanation:
36/something1 = 12/something2
36/12=3
to get from something1 to something2 you divide by 3
36/3x=12/x
Cross multiply
36x=12*3x
36x=36x
x=x
Since each side of the equation is equal, the solution is all real numbers
I hope this helps :)
Answer:
Hi! Your answer is: -h-6
Step-by-step explanation:
<em><u>~Write in standard form~</u></em>