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Can you help me solve these questions please ? The following questions are not related (4 marks each). 1. Which of the following three functions

Can you help me solve these questions please ?

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The following questions are not related (4 marks each). 1. Which of the following three functions will be largest for large values of x? (A) f(x) = x (B)r(x)= (1/2)* (C) h(x) = x10 2. Use logarithms to solve 3. 2-3*=24. 3. Find the associated half-life for Q= Qoe 4 . 4. Simplify: In 12- In 6. Simplify: logv/10 5. What can you say about the graph of f (x) = ax + bx + c if a = 0?6. Multiple choice: Following is the graph of f(x) = ax? + bx + c: (A) a is positive and c is positive. (B) a is negative and c is positive. (C) a is positive and c is negative. (D) a is negative and c is negative. 7. What is the smallest possible sum-of-squares error if the given points happen to lie on a straight line? Why? 8. If the revenue function for a particular commodity is R(p) = -p' + 6p, what is the (linear) demand function? 9. Ify = 92 , then x= If y = logzx , then x= 10. You are told that the points (1, y1), (2, yz), (3, y3) lie on an exponential curve. Express y; in terms of y, and y2. Exercice 2 (20 marks) Sketch the graph of the following quadratic function, indicating the coordinates of the vertex, the y-intercept, and the x-intercepts. (Give all the details). 1=-x+4x+5 Exercice 3 (20 marks) a. If you invest $4,000 in an account with an annual yield of 12.0% compounded each quarter. What is the future value after t years? b. How long will it take to be worth $8,000? C. How long will it take to be worth $8,000 if it is continuously compounded

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