F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).
Same as the one before a few way back.... so...check the picture below, then we use the pythagorean theorem
Answer:
Slope is -3
Step-by-step explanation:
mrk me brainliest plz
Answer:
30%
Step-by-step explanation:
If a football quarterback enjoys practicing his long passes over 40 yards and misses the first pass 40% of the time, but when he misses on the first pass, he misses the second pass 20% of the time. The probability of missing two passes in a row is 30%.
First pass: 40%
Second pass: 20%
40% and 20% combined/average is 30%.
Therefore, the probability of missing two passes in a row is 30%.
