<span>, y+2 = (x^2/2) - 2sin(y)
so we are taking the derivative y in respect to x so we have
dy/dx use chain rule on y
so y' = 2x/2 - 2cos(y)*y'
</span><span>Now rearrange it to solve for y'
y' = 2x/2 - 2cos(y)*y'
0 = x - 2cos(y)y' - y'
- x = 2cos(y)y' - y'
-x = y'(2cos(y) - 1)
-x/(2cos(y) - 1) = y'
</span><span>we know when f(2) = 0 so thus y = 0
so when
f'(2) = -2/(2cos(0)-1)
</span><span>2/2 = 1
</span><span>f'(2) = -2/(2cos(0)-1)
cos(0) = 1
thus
f'(2) = -2/(2(1)-1)
= -2/-1
= 2
f'(2) = 2
</span>
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
So if 18 plus 1/4 of the number is the number the means 18 is 3/4 of the number so 18 divided by 3 is 6 so 1/4 = 6 now add 6 to 18 to get 4/4 of the number which is 24 number = 24
Division is ur answer..
examples...
300 and 30......300/30 = 10....so 300 is 10 times greater then 30.
5000 and 50....5000/50 = 100...so 5000 is 100 times greater then 50.
70 and 20 ......70/20 = 3.5 ....so 70 is 3.5 times bigger then 20
15 + 6(x + 1)
First, expand to get rid of parentheses.
Second, simplify. Keep your 6x and add 15 + 6.
Answer:
6x + 21
