I solve the problem step by step.Hope you understand.Thank you.
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2
Question 23 . > 1 if x = 3 and f(x) = x2 – 3 and g(x) = then g(f(x)) Find the following given: f(x) = x2 + 3 and g(x) = x – 2 f(g(x))= Submit Question
5. Is f continuous at f(1)? (10 points) [-x2 +1, 4x, f(x) = -5, -1<x<0 0<x<1 x=1 1<x<3 3<x<5 - 4x + 8 1,
QUESTION 18 Let M and m denote the maximum and the minimum values of f(x, y) = x2 - 2x + y2 +3 in the disk 2? + y2 < 1. Find M + m. OA 8 OB. 7 Ос 5 OD 4 OE 12
3. Show the following statements. (a) The set A = {(x, y) € RÝR : x2 + y2 < 1} is uncountable.
If |x| < 7 which of the following must be true? 1 x < 7 None of the given answers are necessarily true x² <7 x² >7 X > 7
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
5. (10 pts )The random variables X and Y have joint density function 1 f(x,y) x2 + y2 <1. 3 7T Compute the joint density function of R= x2 + y2 and = tan-'(Y/X).
Find the absolute maximum and minimum values of f(x,y) = 2x + y4 on the set D = {(x,y) x2 + y2 <1}.
DQuestion 18 5 pts Determine what signs on values of x and y would make the statement true. Assume that x and y are not 0. a2y< 0 O y must be negative O x and y have different signs O x must be negative O x and y must be negatiye DQuestion 18 5 pts Determine what signs on values of x and y would make the statement true. Assume that x and y are not 0. a2y