Answer:

Step-by-step explanation:
we would like to integrate the following indefinite integral:

in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well
we know that we can use u-substitution if the integral is in the following form

since our Integral is very close to the form we can use it
let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral
as we don't have 12x² we need a little bit rearrangement
multiply both Integral and integrand by 1/12 and 12:

apply substitution:

recall Integration rule:

back-substitute:

finally we of course have to add constant of integration:

and we are done!
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 <u>- x </u>= 2x - 5 <u>- </u><u>x</u>
5 = x - 5
5 + 5 = x
<u>10 = x</u>
This can be solved using the formula for t test which is = x - mu over standard deviation divided by the square root of the number of samples. In this case, it is 1185 - 1200 over 70 divided by square root of 100 which give us a value of 2.14 which is equal to .9839 in area. Only rarely, just over one time in a hundred tries of 100 light bulbs, would the average life exceed 1200 hours.
Answer:
To complete the given table we have to evaluate the given values of x in the function y=|x|-2.
The table is as follows:
The graph of the function is:
Answer:
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