Numerade

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Numerical Differentiation and Numerical Intergration Given the function f(x) = 400x^5 - 900x^4 + 657x^3 - 200x^2 +25x +0.2 with integration limits from a=0 to b=0.8, calculate the approximate value of the integral with five segment using Simpson's 1/3 Rule. What is the True or Actual Value?

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Ball speed is highly correlated to tangential velocity of the hand when throwing a ball. Which of the following would help increase linear ball speed ? a) Increase the radius of rotation b) Increase angular velocity c) Increase the mass of the ball (i) A

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Water at room temperature and pressure flows steadily through the bend in the constant area channel shown below. As a result of the bend, the velocity profile changes from the uniform profile shown at location A to a profile at location B that is linear with a maximum velocity of $V_B$. Circle the correct statement. A. The velocity $V_A$ at location A equals $V_B/2$ B. The velocity $V_A$ at location A equals $2V_B$ C. The velocity $V_A$ at location A equals $1.5V_B$ D. The velocity $V_A$ at location A equals $V_B$ Location B Location A Velocity = $V_A$ Maximum velocity = $V_B$

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The utility function is given as: $U = x^{1/3}y^{1/2}$, a) Express the marginal rate of substitution (MRS) in terms of x and y. b) Write the function of the indifference curve passing through the point (8, 25).

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An isolated parallel plate capacitor carries a specific charge. To increase the potential drop across the plate, you could: A. Insert a dielectric between the plates. B) increase the plate area C) increase the separation distance between the plates D) connect a wire between the two plates E) connect a voltmeter to the two plates

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Question 1 make surfactant in the lungs. Type II pneumocytes Type I pneumocytes Alveolar macrophages Dust cells

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Below is a partial table of values for a linear function. Fill in the blanks. x\y -1.0 2.0 8.0 0.0 3.0 7.0 1.0 9.0

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What capacitance change will cause the 3 m/sec² acceleration in two different capacitive accelerometers: a) a parallel plate accelerometer b) a comb-drive accelerometer? Both accelerometers have the spring constant k=1 N/m, the proof mass m=0.1 mg. a) For the parallel plate accelerometer: the electrode plates is (100 ?m x 20 ?m), separation between electrodes is 2 ?m, k=1N/m Movable electrode m=0.1 mg Fixed electrode b) For the comb-drive accelerometer: A comb-drive accelerometer has hundred interdigitated fingers. The fingers are built from 3 ?m thick polysilicon d=2µm Fixed ? w=5µm I=100?m Movable

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Question 14 (1 point) The Cobb-Douglas production function is given by: $Q = L^{0.2}K^{1.3}$. This shows that the production function gives (increasing/decreasing/constant) returns to scale.

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A firm's demand curve in perfect competition is ______ because downward sloping; each firm can maintain a loyal costumer base. downward sloping; the law of demand. horizontal; firms sell a commodity so perfect substitutes are available at other firms. horizontal; consumers have too much market power.

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