14. Evaluate the following logarithmic expressions. (a) log, 1 (b) In e² (c) log 10 (d) 5log5 5.7 (e) log3 9 (1) log v10 (g (h (i) (j) (k (1)

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 2/5+4/8

A: We have to find the sum

Q: 4n – 1

A:

Q: 3. 3 de dy 40

A:

Q: -2- 4- 3 10

A:

Q: 7/2 + 3 4/6

A:

Q: 22n+1 3n+1 2.

A:

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 7 11

A:

Q: -5 -1 1. 4

A:

Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

A:

Q: -8 - 12

A: Given problem is

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: V415

A: Given query is to find the square root of 415.

Q: 4 1/2 + 3 2/3=

A: Given,

Q: 11 35

A:

Q: 11 –/7

A:

Q: 2

A:

Q: 1 3 8.

A:

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: 2/5 +7/12

A: Please see the answer below.

Q: -2 -4 and D = 4 8

A:

Q: Graph. 0 = - 4

A:

Q: nvert

A:

Q: iv. Un 32n

A: