Answer:
y' = (2x + y cosxy)/(2y + x cosxy)
Step-by-step explanation:
Using implicit differentiation:
y^2 = x^2 + sin xy
2y y' = 2x + cos xy * (xy' + y)
2y y' = 2x + xy' cos xy + y cos xy
2y y' - xy' cosxy = 2x + ycos xy
y' = (2x + y cosxy)/(2y - x cosxy)
It would be
y=(-16*-1)
which would then be
y=16
so the answer would be
(-16,16)
you replace the x in the equation with the x you are given
Answer: 8 is the anwser
Step-by-step explanation:
Answer:
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
Step-by-step explanation:
We will resolve each statement to determine the events that has exactly 12 possible outcomes.
N = number of possible outcomes for a cube
Nc = number of possible outcomes for a coin
Nca = number of possible outcomes for the cards
i. rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again
Nt = N × N
N = 6 ( cube has 6 possible outcomes and its rolled twice)
Nt = 6 × 6 = 36
ii. tossing a coin and randomly choosing one of 4 different cards.
Nt = Nc × Nca
Nc = 2 ( coin has two outcomes)
Nca = 4 ( 4 possible cards )
B = 2 × 4 = 8
iii. rolling a number cube with sides labeled 1 through 6 and tossing a coin.
N = N × Nc
N = 6 ( cube has 6 possible outcomes)
Nc = 2 (coin has two faces)
N = 6 × 2 = 12 (correct)
Iv. tossing a coin 6 times.
N = Nc^6
Nc = 2
N = 2^6 = 64
Therefore, the correct answer is iii.
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
