First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx
now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer
Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now
now=182
percent means parts out of 100 so
130%=130/100=13/10
182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140
140 students last year
Answer:
3/8
Step-by-step explanation:
Evaluate b - -1/8 + c where b = 2 and c = -7/4:
b - (-1)/8 + c = 2 - (-1)/8 - 7/4
Put 2 + 1/8 - 7/4 over the common denominator 8. 2 + 1/8 - 7/4 = (8×2)/8 + 1/8 + (2 (-7))/8:
(8×2)/8 + 1/8 - (7×2)/8
8×2 = 16:
16/8 + 1/8 - (7×2)/8
2 (-7) = -14:
16/8 + 1/8 + (-14)/8
16/8 + 1/8 - 14/8 = (16 + 1 - 14)/8:
(16 + 1 - 14)/8
16 + 1 = 17:
(17 - 14)/8
| 1 | 7
- | 1 | 4
| 0 | 3:
Answer: 3/8
Answer:
114.24°
Step-by-step explanation:
7(15)+6= 105
3(15)= 45, now we plug it in the formula, 
so now we square root it
= 114.24
To Simplify It Put It In Y=MX+B Form .
