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assume that g(x) = x^3 = bx^2+ cx where b and c are constant coefficients, find the values of b and c such that y =g(x) has a critical point at (1,4) and an inflection point at (2,2)

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7 kW 8 kW 10 kW d 25 kW A B D E F Q2) The solid steel shaft DF is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 25 kW of power to the shaft while it is rotating at 250 rev/s. The shaft is free to turn in its support bearings at D and E. The power removed by the gears is given in the figure. The maximum allowable shear stress for the shaft is 50 MPa. Determine the smallest possible shaft diameter required. Using the determined diameter, calculate the maximum shear stress developed in the DA, AB, BC, CE, and EF sections of the shaft.

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Cooper,SEP IRAs and SIMPLE IRAs offer tax advantages and relative simplicity to small businesses that want to offer retirement savings for the owner and employees. Which of the following statements is (are) true regarding SEP IRAs and SIMPLE IRAs? 1. SIMPLE IRAs allow for both employee and employer contributions but SEP IRAs are funded only by employer contributions. 2. SEP IRAs require all contributions to be immediately vested, while SIMPLE IRAs may include a vesting schedule. 3. SIMPLE IRAs are subject to lower contribution limits for employers than SEP IRAs. 4. Both SEP IRAs and SIMPLE IRAs allow employers to make catch-up contributions for employees.age 62, is retiring from a lucrative career in software development at WeFixIt, Inc. Due to his specialized knowledge, WeFixIt has asked Cooper to enter into a consulting agreement where he will be paid $50,000 per year for the next two years to consult with remaining employees on certain projects. Cooper is concerned that the extra income will cause him to pay more taxes than desired. Which of the following retirement plans can Cooper utilize to defer taxes on a portion of the consulting income without the need to be concerned about the rules for mandatory or substantial and recurring contributions? Group of answer choices Profit Sharing Plan. Defined Benefit Pension Plan. Simplified Employee Pension Plan (SEP). Cash Balance Pension Plan.

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Contains many nucleotides that are not used in genes a false be true

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2.) \( \frac{5}{6}+\frac{1}{5}= \)

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What is a microprocessor? ? A storage device for data ? A CPU on a single chip that carries out instructions and handles computations ? A power supply unit ? A motherboard component

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Question #11: All changes saved Consider the transition matrix $\begin{bmatrix} 0.3 & 0.3 & 0.6 \\ 0.2 & 0.6 & 0.1 \\ \frac{1}{2} & \frac{1}{10} & \frac{3}{10} \end{bmatrix}$ Find the steady state vector: $\begin{bmatrix} 0.146 \\ 0.229 \\ 0.625 \end{bmatrix}$ Hint: if you're trying to solve $A\vec{z} = \vec{z}$ and the matrix A has fractions that you wish weren't there, you can multiply both sides of the matrix equation by a well-chosen number to make the problem simpler. (Note: you may still get fractions when doing Gaussian elimination but that's a different situation.)

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Find the derivative of the trigonometric function. y = cos(7x) y'(x) =

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Group the research study examples according to whether they refer to descriptive, correlational, or experimental research. Labels Study in which the impact of beverage choice (water, soda, coffee, and nothing) on the length of a study session is explored Study in which how elementary-aged children choose where to sit during lunch is explored by watching their movements in the lunch room Study in which how Drop Zones Reset All Descriptive Research (1/3) Correlational Research (2/3) Experimental Research (3/3)

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Hardy-Weinberg: Fungal population A scientist is studying a population of fungi. She finds that the recessive allele for small spores has a frequency of 0.75. What frequency should she expect for the dominant allele? (Click to select) Assuming the population is in Hardy-Weinberg equilibrium, what percentage should she expect to see for the following genotypes? aa (Click to select) Aa (Click to select) AA (Click to select)

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