Answer:
{2,3}
Step-by-step explanation:
The domain is the set of all the values of x. The range is the set of all the values of y.
Answer:
x = (-629)/4
Step-by-step explanation:
Solve for x:
-2 x - 18 = 4 x - 2 x + 611
4 x - 2 x = 2 x:
-2 x - 18 = 2 x + 611
Subtract 2 x from both sides:
(-2 x - 2 x) - 18 = (2 x - 2 x) + 611
-2 x - 2 x = -4 x:
-4 x - 18 = (2 x - 2 x) + 611
2 x - 2 x = 0:
-4 x - 18 = 611
Add 18 to both sides:
(18 - 18) - 4 x = 18 + 611
18 - 18 = 0:
-4 x = 611 + 18
611 + 18 = 629:
-4 x = 629
Divide both sides of -4 x = 629 by -4:
(-4 x)/(-4) = 629/(-4)
(-4)/(-4) = 1:
x = 629/(-4)
Multiply numerator and denominator of 629/(-4) by -1:
Answer: x = (-629)/4
Answer:
f ( x ) does not satisfy the mean value theorem
Step-by-step explanation:
The given data :-
- f(x) = 3x - 4 cos ( 2x + 1 )
- f'(x) = 3 +8 sin ( 2x + 1 )
- The interval [ -1 , 2 ]
Solution :-
i) f(x) is continuous on [ -1 , 2 ]
ii) f(x) is derivable on ( -1 , 2 )
f ( -1 ) = 3 * (-1 ) - 4 cos [ 2 * ( -1 ) + 1 ] = - 3 + cos (-1 ) = - 3 - 4 * 0.9998 = - 6.992
f ( 2 ) = 3 * 2 - 4 cos ( 4 * 2 + 1 ) = 6 + 4 cos 9 = 6 - 3.9507 = - 3.04924
iii) f ( -1 ) ≠ f ( 2 )
f ( x ) is not real valued function so it does not satisfy the mean value theorem
Answer:
x = 25
Step-by-step explanation:
Noting that these figures are similar, we set up and solve an equation of ratios:
x 30
---- = ------
15 18
Cross multiplying, we get:
18x = 30(15), or 3x = 5(15) = 75. Then x must be 25.
Answer:
1+3√2 /3. C.X=3+√14 /10.10
Step-by-step explanation: