1. Suppose that the demand equation for a monopolist is p = 100 – .01x and the cost function is C(x) = 50x + 10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production. 2. Y=(* )* Find 3. Find the lim 9×2+1 4. If f(x) = 3×2-12 x1/3 find the third derivative and evaluate at x = 1 5. Let f(x)=2×2 +1 use the limit definiation of the derivative to find f(x)’ 6. Find the equation of the line tangent to g(x) = 16 – 47x at x=4 8. Differentiate g(x) = (4t2 – 3t+2)^-2 at (2,-2) 9. Evaluate the derivative of y=- eve ofv=3x²+x 1-4x 50. Differentiate y= (x2 + 4) 2 (2×3 – 1)3