I got this answer from someone else so I’m not sure this is correct but I really hope it helps...
Step-by-step explanation:
Look for patterns in the derivatives.
y=cos2x
y'=-2sin2x
y''=-4cos2x
y'''=8sin2x
y''''=16cos2x
Notice that sin and cos alternate every derivative. Also, they alternate positive and negative every 2 derivatives.
The constant is just 2^(derivative#).
Every odd derivative has sin and every even derivative has cos, so you know that the 30th derivative will be cos.
If you follow the pattern of negatives and positives, you find that the 30th derivative will be negative.
y^(30)= -2^30cos2x
y^(30)= -1073741824cos2x
Answer:
the measure of angle Q = 92°
Step-by-step explanation:
<u><em>The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary</em></u>.
………………………………
Then
m∠O + m∠Q = 180
Then
2x + (2x+4) = 180
Then
4x + 4 = 180
Then
4x = 180 - 4
Then
4x = 176
Then
x = 176/4
Then
x = 44
Therefore
m∠Q = 2(44) + 4 = 88 + 4 = 92°
F(x) = x² + 4x - 12
x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2
f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0
The vertex of the function is (2,0).
Well 5 1/4 hours is 5 hours and 15 minutes and 2/3 of 5 hours and 15 minutes or 315(5*60+15) is 210
hope it helped