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Answer:
11) Here given Function,
And,
For f(x) = g(x)
When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,
And, The height gain by the rocket B in x seconds,
If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒
⇒
⇒
⇒
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
The series of odd numbers is:
1, 3, 5, 7, 9, 11, 13, ....
If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.
The formula for the sum of an Arithmetic Series is:
Here,
n = number of terms = 100
a₁ = first term = 1
d = Common Difference = 2
Using the values, we get:
Thus, the sum of first 100 positive odd whole numbers is 10,000.