Numerade

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7 6. (10 points) Propose a synthesis for the following molecule. You may use benzene, any alkyl halide four carbons or less, ethylene oxide, any inorganic reagents, and solvents you require. $$O_2N$$ OH OH

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name the type of tissue that is part of endrocrine gland b is derived from

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The circuit below is designed for a collector current of 0.3 mA. Assume 𝐼𝑆 = 8 × 10−16 A, 𝛽 = 100, and 𝑉𝐴 = ∞. a. Determine the required value of 𝑅1. b. What is the error in 𝐼𝐶 is 𝑅𝐸 deviates from its nominal value by 5%?

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Problem 2.9 Spectrum B 100 50 %Transmittance 3344 2958 2931 2873 1462 1377 1115 968 4000 3000 2000 1000 Wavenumber (cm?¹)

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Using Table 1, calculate the marketing bill share for 1995 rounded to the nearest whole percent. Enter only the number. Table 1. U.S. nominal farm value, marketing bill, and consumer expenditures on domestically produced food. Year Farm Marketing Total At-Home Away-From- Value Bill Consumer Expenditures Home Expenditures Expenditures Billion dollars 1995 100 467 567 327 241 2000 103 550 653 380 273 2005 124 664 788 452 336 2010 150 766 916 533 383 2015 171 952 1,123 602 521

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3. Scale Reading (newtons) 800 700 600 500 400 300 200 100 0 0 5 10 15 20 Time (s) A student whose normal weight is 500 newtons stands on a scale in an elevator and records the scale reading as a function of time. The data are shown in the graph above. At time $t = 0$, the elevator is at displacement $x = 0$ with velocity $v = 0$. Assume that the positive directions for displacement, velocity, and acceleration are upward. The mass of the student if 50 kg, and the acceleration is obtained by dividing the \"extra\" force on an object by its mass. b. Calculate the acceleration $a$ of the elevator for each 5-second interval. i. Indicate your results by completing the following table. Time Interval (s) $a$ (m/s$^2$) 0-5 5-10 10-15 15-20

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Cyrus Cypress evaluates all capital budgeting projects with its normal, or average, required rate of return (k), regardless of the risk associated with the projects. If Cyrus is currently examining projects that are significantly riskier than the existing assets of the firm, the capital budgeting decisions that the firm makes could be a. correct. b. incorrect because acceptable projects might be rejected when they should be accepted. c. incorrect because unacceptable projects might be accepted when they should be rejected. d. Both a and b are correct answers. e. Both a and c are correct answers.

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7. (a) A solution of the equation y^(n) + a?(x)y^(n-1) + ... + a?(x)y = 0 on an interval I possesses at least n derivatives on I. If the coefficients a?(x) possess m derivatives on I, show that every solution possesses at least n + m derivatives on I. (b) Show that every solution of an equation of the form y^(n) + a?y^(n-1) + ... + a?y = 0, where a?, a?, ..., a? are constants, possesses derivatives of all orders. 8. Verify the laws of exponents (1.10) and the formula (e^x)' = ce^x. 9. A first-order differential equation of the form dy/dx = f(x)/g(y) is said to be separable. Suppose that there exist functions F(x) and G(y) such that F'(x) = f(x) and G'(y) = g(y) on the domains of f and g. If the equation possesses a solution y = ?(x) on an interval I, show that the solution satisfies a relation of the form G(y) = F(x) + C, where C is a constant. Conversely, show that any differentiable function that satisfies a relation of this form is a solution of the differential equation.

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On January 1, 2018, Tyson Manufacturing Corporation purchased a machine for $40,100,000. Tyson's management expects to use the machine for 26,000 hours over the next six years. The estimated residual value of the machine at the end of the sixth year is $46,000. The machine was used for 4,200 hours in 2018 and 5,100 hours in 2019. What is the depreciation expense for 2018 if the corporation uses the units-of-production method of depreciation? (Round any intermediate calculations to two decimal places, and your final answer to the nearest dollar.) A. $6,477,702 B. $13,366,667 C. $6,470,268 D. $7,856,754

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Question 3. A circuit has three sensors A, B and C which control a motor as per the following truth table: sensor inputs ABC Output 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 Design: 1. A circuit using logic gates to control the motor. 2. A logic control relay circuit to control the motor 3. A PLC program to control the circuit Solution

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matthew s.