Answer: The required inverse transform of the given function is

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

We have the following Laplace formula :

Therefore, we get

Thus, the required inverse transform of the given function is

Answer:
Step-by-step explanation:
From the information given,
Mark: 6,7,8,9,10
frequency:5,4,7,10,4
a) Range = highest mark - lowest mark
Range = 10 - 6 = 4
b) The number of students in the group is the sum of the frequency. Therefore,
Number of students = 5 + 4 + 7 + 10 + 4 = 30 students
c) Mean mark = (mark × frequency)/total frequency
[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30
Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30
Mean mark = 8.1
In scientific notation it would just be 3.06 x 0, it is the same thing as the regular notation.
Answer: -1, 14, 62, 98
<u>Step-by-step explanation:</u>
Plug each x-value into the equation and solve for y
