9514 1404 393
Answer:
y +1 = -3(x -3)
Step-by-step explanation:
The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
y -(-1) = -3(x -3)
y +1 = -3(x -3)
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
Percent means parts out of 100
so 25%=25/100=5/20=1/4
'of' means multiply
so 25% of 64 means
1/4 times 64 or
64/4 or
32/2 or
16
Answer:
c
Step-by-step explanation:
(5y - 1) = 4y + (9y - 4) = 5y
2y > .75
