1)
1) The correct answer is option b
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Taking the first derivative of the above function
Set the first derivative equal to 0
The LCM is 6X
800 X2 = 2
X = 0.05
how to solve this? the answer is b 1. Find the x that minimizes the function y=- nction y = 200 x? - 2 1n(x): a. X=1...
1. Find the x that minimizes the function y=- 200 + r2 -= In (x): 3 a. X=1 b. x=0.05 c. X=0.125 d. none of the above
Show transcribed image text 1. Find the x that minimizes the function y=- 200 + r2 -= In (x): 3 a. X=1 b. x=0.05 c. X=0.125 d. none of the above
16) 16. Which of the following represents y as a one-to-one function of x? A) y = x+ B) y = x3 C) {(3,4),(4,5),(5,6), (6,6)} D) x = y2 E) None of the Above x+3 (x-1)(x-3)? 17) 17. Which best describes the intercepts for the graph of g(x) = A) x-intercept at x = -3 and y-intercept at y = 1 B) x-intercepts at x = 1 and x = 3 and y-intercept at y = -3 C) x-intercepts at...
how do you solve without
lagrangians?
12 Pablo's utility function is U(x,y)= x+10y- y2/2, where x is the number of x's he consumes per week and y is the number of y's he consumes per week. Pablo has $200 a week to spend. The price of x is $1. The price ofy is currently $5 per unit. Pablo has received an invitation to join a club devoted to the consumption of y. If he joins the club, Pablo can get...
*PLEASE DO IN MATHEMATICA*
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of the derivative and LHopital's Rule to show that every higher-order derivative of f at r 0 vanishes. c. Find the MacLaurin series for f. Does the series converge to f?
{:1, ifr+ 13. Consider the function f(x)- nction,f(x)-e-r/rifx#0 a. Plot the graph of this function using Mathematica. b. Use the limit definition of...
Question 12 Find the general solution of _2.re/: +ry2 I'Y a) ©y=1n (62 = 1(z)) b) Øy=zin(222*) 9) Oy=zi(647 yake?) a) © y=sin(cz -ein(213) o ov=z1(ca == lager) f) None of the above.
(3) For the function y =-2(x-1)2 find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing °For the function y = 0.5(x + 3)2 + 2, find a) vertex b) axis of symmetry c) maximum or minimum value d) graph the function e) Intervals of increasing and decreasing
5 points) 1. Circle the correct answer. Use the graph of y = f(x) to solve f(x) < 0. A) (-2, 0) U (3,00) TVfx) B) (-2,0] [3,00) C) (-00, 2] U [0,3] D) (-00,-2) (0,3) E) none of the above
1. (20 pts) RVs X and Y have joint density function 22 f(x, y) =(0 if O <z<1 and 0<y<2 īf 0 < x < 1 and 0 < y < 2 otherwise (a) Find E(X), V(X), E(Y), and V(Y). (b) Find the covariance cov(X,Y) and the associated correlation ρ (c) Find the marginal densities fx and fy. (Be sure to say where they're nonzero.) (d) Find E(X | Y = 1.5). (e) Are X and Y independent? Give two...
Please provide steps on how to solve!
Consider the function y = fx). f(x) = 8x - 1, x = -5 (a) Find out at x = -5. (6) Find x = -1). (c) Use part (b) to find af at y = f(-5). dy
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina