Let w(s,t)=f(u(s,t),v(s,t)) where u(1,0)=−6,∂u∂s(1,0)=5,∂u∂1(1,0)=7 v(1,0)=−8,∂v∂s(1,0)=−8,∂v∂t(1,0)=6 ∂f∂u(−6,−8)=−1,∂f∂v(−6,−8
Blababa [14]

From the given set of conditions, it's likely that you are asked to find the values of

and

at the point

.
By the chain rule, the partial derivative with respect to

is

and so at the point

, we have


Similarly, the partial derivative with respect to

would be found via

Answer:
144
Step-by-step explanation:
12² is the same as 12 × 12
12 × 12 = 144
Answer: Pair 1 and Pair 4
Step-by-step explanation:
9514 1404 393
Answer:
- adult: 325
- children's: 225
Step-by-step explanation:
It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...
1.50a +1.00(550 -a) = 712.50
0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms
a = 325
c = 550 -325 = 225
325 adult and 225 children's tickets were sold.
Answer:
15 mL of the solution with 20% water will be needed.
Step-by-step explanation:
Use the inverse relationship
10 mL * (18-15)% = x mL * (20-18)%
x = 10 mL * (3/2) = 15 mL