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:
Mr. Martin drove 415 miles this week.
Step-by-step explanation:
The question says Mr. Martin drove 125 miles more than <u>last week</u>. How many miles did Mr. Martin drive this week?
How many miles did he drive last week?
Remember: 290 miles is the miles he drove last week.
The problem says he drove 125 miles AND 290 miles this week. So you take the SUM of them to see how many miles he drove together.
290 + 125 = 415
