Numerade

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1. (70 pts total) A gas follows the equation of state: $$P = \frac{RT}{\bar{V}-b}$$ and its ideal-gas heat capacity at constant pressure is $C_p^{10} = c + eT$. The constants $b$, $c$, and $e$ are independent of temperature. 1.1. (45 pts) Obtain analytical expressions for differences in molar properties $\Delta U$, $\Delta H$ and $\Delta S$ for a general change of state of this gas from $(T_1, P_1)$ to $(T_2, P_2)$.

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If the price of a pizza was $12, what would happen in this market? Group of answer choices A surplus of 40 pizzas A shortage of 40 pizzas An excess demand of 20 pizzas An excess supply of 20 pizzas

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A first order reaction is governed by chemical reaction control, which of the following would increase it's rate? a. Increasing solids concentration of the slurry b. Increasing temperature c. Increasing reagent concentration d. Increasing stirring speed

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5. The base is eight for ____ number system. A. Binary B. Hexadecimal C. Decimal D. Octal

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Evaluate \int (9x^(2)+4x-1)/(2x^(3)+3x^(2)-2x)dx Solution Since the degree of the numerator is less than the degree of the denominator, we don't need to divide. We factor the denominator as 2x^(3)+3x^(2)-2x=x(2x^(2)+3x-2)=x(2x-1)(x+2). Since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the following form [see this case]. (9x^(2)+4x-1)/(x(2x-1)(x+2))=(A)/(x)+(B)/(2x-1)+◻ To determine the values of A,B, and C, we multiply both sides of this equation by the least common denominator, x(2x-1)(x+2), obtaining Expanding the right side of the equation above and writing it in the standard form for polynomials, we get The polynomials on each side of th

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____ is a mental exercise involving heightened awareness and relaxation by interrupting flow of thoughts, worries, and analysis. Self-acceptance Environmental mastery Meditation Hypnosis

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A client has been experiencing shin discomfort and her medical professional has diagnosed her with medial tibial stress syndrome. Which foot type is often associated with difficulty loading impact and why? Select one: a. Neutral foot due to its inability to transfer energy efficiently b. Low arched rigid foot due to its inability to load energy efficiently c. Low arched hypermobile foot due to its inability to transfer energy d. Rigid foot due to improper loading of impact forces

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1. (6 points) Solve the following limit and calculate the derivatives of the funcions f(x), g(x) and h(x). 3x²+2x+3 a) lim_{x?-3} (x²+x-3) b) f(x) = x + ln(x) c) g(x) = ?x³+5x d) h(x) = (2x³+e^x)²/3x 2. (6 points) A company produces batteries for electric cars. The market research department sets the price-demand function in dollars for x items: p(x) = 5000 - 10x The financial department provides the cost function: C(x) = 150,000 + 1000x a) What is the marginal cost when the level of production is 150 units? b) What is the marginal revenue when the level of production is 150 units? c) Find the marginal profit function. d) Find the break-even points. 3. (7 points) For the funcion f(x) = -x² - 1 + ln(x²) a) Find the first derivative of the function. b) Find the critical points. c) Find the second derivative of the function. d) Find the relative maximum and minimum. e) Find the absolute maximum and minimum. f) Find the intervals of concavity. 4. (6 points) Given the price-demand equation 0.02x + p = 60 a) Find the elasticity of the demand, E(p) b) For which values of p is demand elastic? and inelastic? c) If p = $10 and the price is decreased, will revenue increase or decrease? d) If p = $40 and the price is decreased, will revenue increase or decrease?

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The four masses shown in (Figure 1) are connected by massless, rigid rods. Assume that $m = 160 \text{ g}$. Figure Part C Find the moment of inertia about an axis that passes through mass A and is perpendicular to the plane of the image. Express your answer in kilogram meters squared. $I_A = 8.036 \cdot 10^{-3} \text{ kg} \cdot \text{m}^2$

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Given $v = \begin{bmatrix} 3 \\ 8 \\ 2 \end{bmatrix}$, find the coordinates for $v$ in the subspace $W$ spanned by $u_1 = \begin{bmatrix} -3 \\ 4 \\ 2 \end{bmatrix}$ and $u_2 = \begin{bmatrix} 6 \\ 6 \\ -3 \end{bmatrix}$. Note that $u_1$ and $u_2$ are orthogonal. $v = \square u_1 + \square u_2$

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rafael s.