The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer:
C.
Step-by-step explanation:
A complementary angle is an angle at 90 degrees and is formed by 2 angles.
When you're given a point and the slope of a line, it is often easiest to write its equation in
point-slope form.
This is

, where

is the ordered pair for the point you are given and m is the slope.
Here, you would write

. Then, you simplify to get to
slope-intercept form, which is

, where b is the y-intercept.
The correct answer is A.
Right away, we know that

which means

Then


Let
and
. Then

from which we find

You can use the same ideas above to find the trig ratios for
, starting from the given fact that
.
(0.25,0.40). Written in interval notation. It can be any number greater than 1/4 but less that 4/10.