4. What is the principal value of (-1 + i)3-1? 5. Evaluate the function in the...
IV. Evaluate: (think in exponential form) 1) log28= 4) log77= 2) log3l 5) log31 = 3) log5v5 = 6) logg3=
z = 3 + i
4. 21/T 5, the principal value of zi/r 6. cos(z) 7. cosh(z) 8. arctan(z)
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
evaluate the principal cauchy value of the following
integrals
Determine the nature of the singularities of the following
functions
- da Sol: T (x²+4)² 00 16 13) 14) 2x ?! da Sol. I a4+5x²+4 2 8 - 15) da a²_60+25 - 00 -م : (ع) (6) 22. sn (4) -ام .ع : (ع ) ۴ (5) 22
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3), 0StS 4 Evaluate F. dr Justify your answer. iii. Find a function y: R3-+ R such that F iv. Evaluate F.dr where「is the path y =r', z = 0, from (0.0.0) to (2.8.0) followed by the line segment from (2,8,0) to (1,1,2) 22 marks)
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3),...
Evaluate the function for the given value of x. 1-2x-5, {/x-7). for x<-1 for -1 <x<1 for x21 19, Find f(-1) undefined -8. -3 8.
So I did 4 and 5 and got 12/5 and 1/9 respectively. But
I need help with doing number 6, thanks.
Evaluate. 3 (4 5 4. 6. 49 343 2,401 k2 +17k +72 5 15
Evaluate. 3 (4 5 4. 6. 49 343 2,401 k2 +17k +72 5 15
Evaluate each function 3) h)4t-3; Find h(3) 4) fn)- n2-4; Find /-5)
Given the function graphed below, evaluate the definite integrals. 4 3 2 1 2 3 4 5 6 7 8 -2 -3 -4 Preview [ f(z)dx = [ f(a)dx = Preview
Problem #4 Assume that the principal is risk-neutral and cares only for the expected value of his company's revenue, while the agent is both risk- and 'work-averse. The agent's utility function depending on income and effort devoted to work is given bt the following function: U(w,e) e, where w is the non-negative wage and e is effort. For simplicity assume that only two levels of effort are possible: e 0 (low) and e 1 (high). The agent has the possibility...