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Alex73 [517]
3 years ago
7

The equation of state of a certain gas is given by p = rt/vm + (a + bt)/vm2, where a and b are constants. find (∂v/∂t)p.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0
Given:
p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m}  + \frac{a+bT}{m^{2}}]

Answer:
When p is held constant,
\frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}]
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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Urgent. Please show all work
myrzilka [38]

Answer:

\displaystyle f'(x) = \frac{4}{x^2}

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Limit Rule [Variable Direct Substitution]:                                                    \displaystyle \lim_{x \to c} x = c

Differentiation

  • Derivatives
  • Derivative Notation

The definition of a derivative is the slope of the tangent line:                             \displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle f(x) = -\frac{4}{x}

<u>Step 2: Differentiate</u>

  1. [Function] Substitute in <em>x</em>:                                                                            \displaystyle f(x + h) = -\frac{4}{x + h}
  2. Substitute in functions [Definition of a Derivative]:                                   \displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}
  3. Simplify:                                                                                                        \displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}
  4. Evaluate limit [Limit Rule - Variable Direct Substitution]:                          \displaystyle f'(x) = \frac{4}{x(x+ 0)}
  5. Simplify:                                                                                                        \displaystyle f'(x) = \frac{4}{x^2}

∴ the derivative of the given function will be equal to 4 divided by x².

---

Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0
2 years ago
I NEED HELP PLEASE !!!!
Anon25 [30]

Answer: (-9,11)

So the line starts at the left on -9 and ends at the right at 11 so then your answer would be (-9,11)

6 0
3 years ago
Simply the following expression. (v-2+3v3^) + (4v3^+7v+3)
Nina [5.8K]

Answer:

<em>Hope</em><em> </em><em>this is</em><em> </em><em>correct</em><em> </em>

Step-by-step explanation:

HAVE A GOOD DAY!

4 0
3 years ago
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