Question

# 1) Let f(x)=ln(3). What is f'(x) when x=1.0?

2) Assume SSE(b)=(5-1*b)^2+(5-5*b)^2 +(8-10*b)^2 . Find the value of b that will minimize this function.

3) What is the consumer surplus when the inverse demand curve is defined by P=1000-((Qd)^3) and the equilibrium quantity level is 4?

Hint 1: Calculate the area under the Demand curve from 0 to 4.

Hint 2: Calculate TR.

Hint 3: Area under- TR

4) What is the x-value associated with the inflection point of the following function: 25*x^3 +100*x^2+ 18.2*x?

Hint 1: Set second derivative equal to zero and solve.

5) Given the following objective function: U(x,y)=x^2+y^2 and the following constraint: 410=8*x+20*y, please solve for the optimal value of y.

6) Given the following objective function: f(x,y)=-3*x^2 - 1*y^2 +3*x*y+1413*x+1331*y  , please identify the optimal value for x.

Step-by-step explanation
3 Attachments PNG PNG PNG
Subject: Calculus, Math
1) Let f(x)=ln(3). What is f'(x) when x=1.0? 2) Assume SSE(b)=(5-1*b)^2+(5-5*b)^2 +(8-10*b)^2. Find the value of b that will minimize this function. 244,337 students got unstuck by Course
Hero in the last week 