a) ln 45 = ln( 5 x 9) = ln 5 + ln 9 =1.6094 + 2.1972 = 3.8066
b) ln 18 = ln(2 * 9) = ln 2 + ln 9 = 0.6931+ 2.1972 = 2.8903
c) ln(1/5) = ln 1 - ln 5 = 0 -ln 5 = -1.6094
d) ln(1/9) = ln 1 - ln 9 = 0 -ln 9 = -2.1972
If In 2=0.6931, In 5 1.6094, and In 9 = 2.1972, find each of the following:...
Given the following sets: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Even numbers A = {2, 4, 6, 8, 10}; Odd number B = {3, 5, 7, 9}; Natural numbers N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and Prime numbers C = {2, 3, 5, 7} Find the following: a) A ∪ C b) A ∩ N c) A ’ d) B ∩ N e) B ∪ N f) C...
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
Previous Problem Problem ListNext Problem (1 point) Let g(x) - Vx. Find each of the following (a) g(9s +5) (b)-2g(10x) -10 c) g(x) (d) g(vx Vx 9) g((x - 1)16) - (h) gx Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining
Previous Problem Problem ListNext Problem (1 point) Let g(x) - Vx. Find each of the following (a) g(9s +5) (b)-2g(10x) -10...
3. 45 Determine whether each of the following series is convergent or divergent by either finding a formula for its n th partial sum or using the Divergence Test. If the series is convergent, find its sum - ) (Hint: (e) 4+ (f) 31-5"/2 16 . + 25 32 125 m=1 2 n=1 n2+4n+3 (g)
3. 45 Determine whether each of the following series is convergent or divergent by either finding a formula for its n th partial sum or...
7,8,11,12,19,21,24
Find the average rate of change of each function on the interval specified. 5. ༼(x) = ན on [,5] 6. q(x)=r on [4, 2] 7, g(x)= 3r -1 on [3,3] 8 h(x) =5-2r on [2. 4] 10. p0=! - +| on[3] 9. f(0) = 6 +m 1:1.3] Find the average rate of change of each function on the interval specified. Your answers will be expressions involving a parameter (b or h). IL ༼(x) =4x -༡ on [1, bj 12....
activity preceding optimistic probability pessimistic a -- 7 9 14 b a 2 2 8 c a 8 12 16 d a 3 5 10 e b 4 6 8 f b 6 8 10 g c,f 2 3 4 h d 2 2 8 i h 6 8 16 j g,i 4 6 14 k e,j 2 2 5 a. What is the estimated time of completing the project if the critical path is A-D-H-I-J-K? b. calculate the project...
Activity a m b Immediate Predecessor(s) A 2 6 8 - B 10 11 12 - C 1 2 3 - D 6 7 8 C E 2 4 6 B, D F 1 2 3 A, E G 7 11 13 A, E H 11 12 13 F I 5 7 9 G J 14 16 18 C K 4 8 12 H, I a) find expected time and variance
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2 1 3 2 X-values Ou 2 3 x-values If f(x) g() then h(x)' f'(4) = -13/2 Preview Get help: Video
Suppose that f(2) = -3, 9(2) = 4, f'(2) = -5, and g(2) = 1. Find h'(2). (a) h(x) = 3f(x) - 2g(x) h'(2) h(x) = f(x)g(x) (b) h'(2) (c) h(x) = f(x) g(x) h'(2) (d) h(x) g(x) 1 + f(x) h'(2)