Numerade

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Consider the beam shown in (Figure 1). Suppose that w = 700 N/m. Part A Determine the y component of reaction at A using scalar notation. Express your answer to three significant figures and include the appropriate units. $A_y$ = Value Units Submit Previous Answers Request Answer Part B Figure Determine the x and y components of reaction at B using scalar notation. Express your answers in kilonewtons to three significant figures separated by a comma. $B_x, B_y$ = kN

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Question 34 Consider the partial differential equation $\frac{\partial^2 u}{\partial x^2} = \frac{\partial u}{\partial t}$, with the boundary conditions u(0, t) = 0, $\frac{\partial u}{\partial x}(1, t) = 0$. Applying the method of separation of variables with u(x, t) = X(x)T(t) gives the differential equations X" = \mu X, \quad \dot{T} = \mu T, where \mu is the separation constant. (a) Write down the boundary conditions that the function X(x) must satisfy. (b) Assume that the separation constant \mu is negative. Find non-trivial solutions to the ordinary differential equation for X(x) that satisfy the boundary conditions written down in part (a). State clearly the values \mu can take.

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nonopolist sets a price above its marginal cost of production, reducing quantity sold below that of a market. c. The market price is too low for some firms to produce, so they do not produce the good. d. Some people don't like the good, so they choose not to purchase it. 7- Consider the market for laundry machines in the U.S. $1500 1100 $1000 800 $500 5.5 7 20 Quantity of Laundry Machine in millions a) Calculate the before tax consumer's surplus and Seller's surplus. Show them on the graph. b) The U.S. government imposes $200/unit sale tax on seller, and tax increases price for consumers by $100 and reduces quantity by 1.5 million. Shift the proper curve and label the after-tax prices and quantity. calculate the tax revenue for government, consumers' surplus, producer's surplus, and the deadweight loss. For full points show your work. 1000+100= 1,100 1,000-200 = 800

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1. (3 pts.) Calculate P(z < 1.25). Round your answers to four decimal places. Don't put down just the answer, i.e., show all work for full credit! 2. (2 pts.) Using the Empirical Rule only, state the area under the Standard Normal Curve between -2 and 2. 3. The time it takes a mechanic to rebuild the transmission of a 1992 Chevy shows the mean is 8.4 hours and standard deviation is 1.8 hours. Assume that these times are normally distributed. a) (4 pts.) Clearly, with detail, and using appropriate notation, label the distribution of hours that a mechanic spends rebuilding the transmission of a 1992 Chevy.

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Prove that entropy in the Joule-Thompson process cannot decrease.

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The function $h(x) = 3x^5 - 26x^4 + 402x + 14783$ has one inflection point in its graph. Find the exact x-coordinate of this inflection point. Do not round your answer.

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1. Calculate the velocity vector \textbf{v} of the ball to pass through the opening. (20 Points) 20 m 10 m

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If the proportion of Mastercard transactions in a sample of various credit card transactions is equal to 0.203 and the sample size is 96, what is the margin of error for the corresponding 94% confidence interval to estimate the proportion of Mastercard transactions in the population? Assume that the conditions for the sampling distribution to be approximately normal are satisfied. Use Excel to calculate and round your answer to 4 decimals.

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b d \mathcal{E}_1 \mathcal{E}_2 R_3 \mathcal{E}_3 70.0 V 60.0 V 80.0 V a R_1 R_2 Question: What is the current through each resistor, and what is the power delivered to $R_3$? Let $R_1 = 2.20 \Omega$, $R_2 = 3.00 \Omega$, and $R_3 = 4.80 \Omega$. Step 1: Consider how many unknowns and unique equations can be composed: This circuit has 2 This circuit has 3 junctions, which means you can compose 1 loops, which means you can compose 2 unique junction rule equation(s). unique loop rule equation(s). Step 2: Draw in and label the appropriate number of currents (unknowns). Label currents according to the resistor they will go through. For example, $I_3$ is the current through $R_3 = 4.80 \Omega$ and the $\mathcal{E}_3 = 80.0 V$ battery.

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Consider the independent random variables $X_1, X_2, ..., X_n$ with same mean $\mu$ and variance $\sigma^2$. Let $\qquad S_n = \frac{1}{n} \sum_{i=1}^{n} X_i$ be the average of the $n$ variables. Show that $\qquad E[S_n] = \mu$, $Var(S_n) = \frac{\sigma^2}{n}$. Comment on your result.

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michael j.