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3 years ago

Evaluate each expression using the values a=7 and b=4 1) 14+a 2) ab 3) 5b-a

Mathematics

1 answer:

marta [7]3 years ago

8 0

Answer:

1) 21

2) 28

3) 13

Step-by-step explanation:

According to the word problem, a=7 and b=4.

Now, we just plug in the numbers.

14 + 7 = 21

7 ⋅ 4 = 28

5 ⋅ 4 - 7 = 13

ANYTIME YOU SEE TWO VARIABLES (LETTERS) TOGETHER, THAT MEANS MULTIPLY THEM.

AN EXAMPLE OF THIS IS NUMBER 2.

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Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v

jeyben [28]

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

Step :-(i)

Given x = 1 6 (u + v) …(i)

Differentiating equation (i) partially with respective to 'u'

$\frac{∂x}{∂u} = 16(1)+16(0)=16$

Differentiating equation (i) partially with respective to 'v'

$\frac{∂x}{∂v} = 16(0)+16(1)=16$

Differentiating equation (i) partially with respective to 'w'

$\frac{∂x}{∂w} = 0$

Given y = 1 6 (u − v) …(ii)

Differentiating equation (ii) partially with respective to 'u'

$\frac{∂y}{∂u} = 16(1) - 16(0)=16$

Differentiating equation (ii) partially with respective to 'v'

$\frac{∂y}{∂v} = 16(0) - 16(1)= - 16$

Differentiating equation (ii) partially with respective to 'w'

$\frac{∂y}{∂w} = 0$

Given z = 6uvw ..(iii)

Differentiating equation (iii) partially with respective to 'u'

$\frac{∂z}{∂u} = 6vw$

Differentiating equation (iii) partially with respective to 'v'

$\frac{∂z}{∂v} =6 u (1)w=6uw$

Differentiating equation (iii) partially with respective to 'w'

$\frac{∂z}{∂w} =6 uv(1)=6uv$

Step :-(ii)

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

$\left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|$

Determinant 16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

= -3072uv

Final answer:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

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3 years ago

Find the surface area of the composite figure.

Serggg [28]

Fhfhfhejdhfhebcbfbdbcbrdhfhfbfhfhfhffhfhchfhdhchfhdhhchfjdhf

5 0

2 years ago

What is this 16/6.72 thank you

kvv77 [185]

Hm in decimal form it’s .. 2.38095 or 2.3. Fraction 23/10 .. Percentage is 239%.. If this doesn’t help. Tell me what u mean and I’ll try my best to help!

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3 years ago

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Agata [3.3K]

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Step-by-step explanation:

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3 years ago

the ratio of the weight of a book to the weight of a mug is 7:5 what fraction of the total weight of the book and mug is the wei

Elena-2011 [213]

12:7
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3 years ago