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
Answer:
Step-by-step explanation:
eq. of circle with (x1,y1 ) and (x2,y2) as extremities of diameter is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
(x+3)(x-1)+(y-5)(y-9)=0
x²+3x-x-3+y²-5y-9y+45=0
x²+2x-3+y²-14y+45=0
x²+2x+y²-14y+42=0
x²+2x+1+y²-14y+49=-42+1+49
(x+1)²+(y-7)²=8
(x-(-1))²+(y-7)²=8
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
3(2)+2=8
3(3)+2=11
3(4)+2=14
3(5)+2=17
3(6)+2=20
Sum=70
Hello there!
(7 x 7) + 39 - 5 x 8
49 + 39 - 40
88 - 40
88 - 40 = 48
Answer:
48
Step-by-step explanation:
7x7=49
add 39 equals 88
5x8=40
88-40=48
Answer:
Let X be the rectangular distribution
where X is uniformly distribute(3,1)
b=1
a=1
The PMF will be
f(x)=1/b-a
f(x)=1/3-1
f(x)=1/2
f(x)=0.5