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Korvikt [17]
3 years ago
14

What was the total amount of all checks vera deposited

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
3 0

Answer: 1120.70

Step-by-step explanation:

UkoKoshka [18]3 years ago
3 0

Answer:

The total amount of all checks vera deposited is $664.38.

Step-by-step explanation:

We have to find the total amount of all checks vera deposited.

From the given deposit ticket it is clear that 3 checks are deposited by vera.

Amount of first check = 138.09

Amount of second check = 312.15

Amount of third check = 214.14

The total amount of all checks vera deposited is

138.09+312.15+214.14=664.38

Therefore the total amount of all checks vera deposited is $664.38.

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Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

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∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

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