Answer:
5
Step-by-step explanation:
Answer: Please see explanation column for answers. Also check number 6, its question is incomplete. i used an assumed function, incase its not the same function with the one omitted, just follow steps
Step-by-step explanation: Questions 1-5 do not need any step by step explanation, its purely straight forward but Question 6 involves step by step explanation but is not a complete question, though i used an assumed function.
FALSE ---> 1. THE ABSOLUTE MAXIMUM OF A FUNCTION ALWAYS OCCURS WHERE THE DERIVATIVE HAS A CRITICAL FUNCTION. ___TRUE_____-->__ 2. IMPLICIT DIFFERENTIATION CAN BE USED TO FIND dy/dx WHEN x IS DEFINED IN TERMS OF y .
TRUE__--->3. IN A RELATED RATES PROBLEM, THERE CAN BE MORE THAN TWO QUANTITIES THAT VARY WITH TIME.
_FALSE ---> 4. A CONTINUOUS FUNCTION ON AN OPEN INTERVAL DOES NOT HAVE AN ABSOLUTE MAXIMUM OR MINIMUM.
____TRUE__--->____ 5. IN A RELATED RATES PROBLEM, ALL DERIVATIVES ARE WITH RESPECT TO TIME.
6. FIND THE MAXIMUM ABSOLUTE EXTREMUM AS WELL AS ALL VALUES OF x WHERE IT OCCURS ON THE SPECIFIED DOMAIN
----Incomplete question Please.
But assuming the function---- f(x)= x³ -3x+1
for (E)=(0,3)
step 1= let us use the power rule to find derivative of f(x)= x^3 -3x+1
we will have f¹ (x) = 3x² -3
The critical values occurs when 3x² -3 = 0
which makes x=⁺₋1
As can be seen 3x² -3 = 0
3x²=3
x²=3/3=1
x= ⁺₋1
step 2=Now x= -1 cannot be considered because it is not in the interval of the critical values (0,3)
therefore we consider x=1
step 3=The absolute extremes occurs at x=0, x=1, x=3 forf(x)= x³ -3x+1
when x=0, f(0)= 0³-3(0)+ 1= 1
x=1 f(1)=1³-3(1) +1= -1
x=3 f(3)= 3³ -3(3)+1= 19
Absolute minimum at x=1 has absolute value of-1
Absolute maximum of x=3 has absolute value of 19
Hey there! I'm happy to help!
Let's say that our fraction is x.
x=0.5555555...
Let's get rid of the repeating stuff. If you multiplied x by 10, the fraction would be equal to 5.5555555.....
x=0.55555555....
10x=5.5555555.....
What if we subtracted the first equation from the second? Then all of the repeating stuff would be gone!
9x=5
We divide both sides by 9.
x=5/9.
Have a wonderful day! :D
Answer:
y = 2/5x + 24/5
Step-by-step explanation:
y - 4 = 2/5(x - (-2))
y - 4 = 2/5(x +2)
y - 4 = 2/5x + 4/5
y = 2/5x + 4/5 + 4
y = 2/5x + 24/5
The equation of line passing through points (-4, 1) and (2, 3) will be
3y = x + 7
An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight lineinequality can be also written as -
Ax + By + C > 0
By > - Ax - C
y > (- A/B)x - (C/A)
Given is inequality's solution graphed [Refer to graph attached].
The inequality whose solution is graphed is -
5x + 3 > 3
On solving -
5x + 3 > 3
5x + 3 - 3 > 3 - 3
5x > 0
x > 0
Therefore, the inequality whose solution is graphed is
5x + 3 > 3
(Refer the image attached, for reference)
To solve more questions on inequalities, visit the link below -
#SPJ5
To find the average of something you add up all of the data points (in this case it would be how many pounds offish were eaten per day but this is already done for us) then you would divide by the number of points you have (the number of days which is 31). So all you have to do is 2604/31. This equals 84 pounds of fish per day on average.
the dolphin ate
2604 lbs of fish in 31 days
this can also be written as
2604/31
we want the denominator to be 1, since the denominator represents days
to do this, we can divide 31 by 31. but we must do the same to the numerator
2604 ÷ 31 = 84
so our new fraction is
84/1
so per day, the dolphin ate 84 pounds of fish