7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1
Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's
Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000
N / D = 2180 / 1000
Simplifying our fraction
= 2180/1000
= 109/50
= 2 9/50
8)
If there is such a scalar function <em>f</em>, then



Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :


Integrate both sides with respect to <em>y</em> :

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :



Integrate both sides with respect to <em>z</em> :

So we end up with

Answer:
Step-by-step explanation:
Answer:
v= 17
Step-by-step explanation:
Start with the given equation.
19v – 18 = 16 + 17v
Move -18 to the other side, and swap it's sign.
19v = 16 + 18 + 17v
Move 17v to the other side and swap it's sign.
19v - 17v = 16 + 18
Combine like terms.
2v = 34
Divide by 2v.
v = 17
(167.64 cm) · (1 inch / 2.54 cm)
= (167.64 · 1 / 2.54) inches
= 66.0 inches