9. (20 points) C e the graph of a function below (a) For which (if any)...
5, (20 points) Consider the following cost function: c(q:F)-F +109 + 뚤, where F > 0 represents the fixed cost F = c(QF). (a) (5 points) Compute the marginal cost function, MC(q) (q; F) b) (5 points) Show that the marginal cost function MC() is increasing. (c) (10 points) Recall the average cost function, AC(q; F) - Find (F the value of q (given F) at which AC(q; F) MC(4)
3. [-14.5 Points] SCALCET8 10.3.501.XP. Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r < 0. Then plot the point. (4,2/2) (r, 8) - (r> 0) (r, o) - (r< 0) (b) (3, -2x/3) ir > 0) (r< 0) (r, 0) = . (c) (-3, 3/6) (r, ) = (r> 0) (r< 0)
1. Write a code to draw a ‘mesh' graph of following function f(x,y)= xy x > 0, y 0 xy2 x 20, y = 0 x<0, y=0 (x?y2 x <0, y < 0 x? y Hint) You need to use “meshgrid', ‘for’and ‘if' commands (30 points)
For any two numbers p and q, which of the following must be true? A. Ip+al 2 Ipl + 191 B. Ip-al s lpl - 191 C. Ip-al>o D. Ip.al 2p.q
For what value of a is the given function continuous everywhere? ( as + 2, a < 3 f(x) = 3 ( 22 - aa - 3, a > -3 و به اجب ده انا و
Question 4 1 pts Which of the following is an edge in this graph? (select all that apply) 0 (4,5) O (3,5) O (2,4) (0,3) (3,1) (1,4) Question 5 1 pts Given the following vector v, what will the final value of v be? std::vector<int> y = {6,4,81,99,17}; v.pop_back(); v.pop_back(); v.push_back(32); v.pop_back(); v.push_back(12); v.pop_back() v.push_back(18); v.push_back(21); v.pop_back() O V = {17,32,18,21} O v = {21,18,12,32} O V = {32,12,18,21} O v = {6,4,81,18} Question 6 1 pts Given the following...
this curve,
with X - axis rotation, calculate surfacea area
y=e-72, (x > 0)
A planet of mass 9 × 1024 kg is at location <9 ×
1011, -6 × 1011, 0> m. A star of mass 2 ×
1030 kg is at location <-5 × 1011, 9 ×
1011, 0> m. It will be useful to draw a diagram of
the situation, including the relevant vectors.
(f) What is the force (vector) exerted on the planet by the star? on planet- > N
PART V: Recall that for scalar > 0, the probability density function of an "exponential" random variable with parameter , is P2; 1) = exp(-x). We have n independent samples 11,..., Ir. Each 21, ..., Iris a scalar. Each ris an "exponential" random variable with parameter A. for which 12) (1 point] What is the maximum likelihood estimator? In other words, what is the value of the derivative of (D;) with respect to X is zero? Show all the steps...
(Hint: think of tan as a fraction!) lim (1 - .) tan 7. Suppose a function f(x) satisfies f'(x) < 0 and f(x) > 0 for all x 20. > 0 for all x > 0. Consider the function F(x) := ["s(t) dt whose domain is 0,00). Is F(x) an increasing or decreasing function