4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).
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- If xis large, which function grows faster, f(x)=2x or g(x)=x2?6/(x+1)=2/(x-1)A manufacture business began with an initial stock offering of 3000. At the end of the 1st year, management learned that the company's profit followed the graph of P(x) =x² +3 • x + 3 where x is the number of months since January. Use the mean value theorem to find the months in which the profits changed at the same rate of the average rate of change during the first 7 months. Note: If there is more than one x value, please enter them in descending order and separate them with commas. Please round to the nearest thousandths.
- The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at infinity is h(infinity)(x) =Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit maximizing value of q?Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than or equal to x less than or equal to 8
- If f(x) = 3x^2 - 4x + 4: (F * g ) (6) = ? (f * g) (0) = ?Calculate the area A of the region between the two curves x = y + 2y and x = y + 12. (Express your answer in exact form. Use symbolic notation and fractions where needed.) 10 12 14 16 -6- -8- 301 A = 6. Incorrectfind the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

