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Math 255 3. A company expects its income c during the next 4 years to be modeled by $c = 150,000 + 75,000t$, $0 \le t \le 4$. (a) Find the actual income for the business over the 4 years. (b) Assuming an annual inflation rate of 4%, what is the present value of this income?

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Q2. The figure below shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI 1035 CD steel. Using von-Mises failure theory with a design factor of 2.2, determine the minimum shaft diameter to avoid yielding. (Representation of shear and moment diagrams of the shaft is necessary) (15 marks) 6-in D. 300 lbf 50 lbf y 59 lbf 1 2 3 4 SAE and/or Process- UNS No. AISI No. ing Tensile Strength, MPa (kpsi) 5 Yield Strength, MPa (kpsi) G10350 1035 HR 500 (72) 270 (39.5) A 8 in CD 550 (80) 460 (67) Mises stress σ' = (01-02)² + (02-03)2 + (03-01)271/2 2 8-in D. 392 lbf D C.6 in

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What element forms an ion with an electronic configuration of 1s$^2$2s$^2$2p$^6$3s$^2$3p$^6$ (or [Ar]) and a -2 charge? Give the symbol for the element. element symbol:

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How was the value of G first determined? Group of answer choices by Cavendish, using a torsion balance by Eötvös, using a torsion balance via a gedanken experiment by Newton, watching an apple fall none of the above

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Explain why a rise in the actual budget deficit does not necessarily reflect a change in fiscal policy. A. A rise in the actual budget deficit could also be caused by a decrease in real GDP. B. A rise in the actual budget deficit could also be caused by an increase in government expenditure. C. A rise in the actual budget deficit could also be caused by a reduction in tax rates. D. A rise in the actual budget deficit could also be caused by an increase in real GDP.

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Project on Impact - Football Helmet Collision Problem Statement 1. What approximate force is exerted on helmet B if the delta time of impact is 0.01 sec? 2. What recommendations would you provide to lessen the impact of head injuries? Consider the Football Helmets as two particles: - Line of Impact: XR - Plane of Impact: B - VA = 6 ft/sec - Oblique Impact - W = Wg = 5 lb Before Impact During Impact

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Part III (CLO3) (10 Marks) Q3: Consider the given program, find if there is an error, also write the output. (5) Note: No statement (line of code) should be removed. #include <iostream> using namespace std; class A { public: A& operator= (const A&a) { cout << "A's assignment operator called" << endl; return *this; } }; class B { A a [2]; }; int main() { B b1, b2; b1 != b2; b1 = b2; return 0; CS1143-Object Oriented Programming Page 2 of 3

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10. Label all the inputs and outputs for the circuit below and add wires, as necessary, so that the circuit as a whole contains a 2's complement integer adder. The labels A3, A2, A1, A0 are the four bits of operand A from MSB to LSB. Maintain this order of placement for all your labels. The circuit inputs enter at the top and right sides of the devices. Outputs exit each device box symbol at the bottom and left. The resulting circuit must perform A+B and A-B depending on the assertion of the input Subtract. Negation circuit A3 A2 A1 A0 C_out 4-bit Ripple-Carry Adder from Full Adders C_in

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Can you explain to me in "dumb" way about, "how to design Torque Vectoring 2 electric motor (front and rear) in electric vehicle step by step?" And can you give me some resource to me about the implementation of torque vectoring in real case but the source give information about the torque vectoring C++ coding step by step? Thankyou

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Consider the function $f(x) = \begin{cases} x^2 - 4, & \text{if } x \ge 2 \\ x + 1, & \text{if } x < 2 \end{cases}$ The $\lim_{x \to 2} f(x)$ is

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cameron l.