Integrate the following: ∫84

A. 42x
B. 84x
C. 84x + C
D. 42x + C

Choice C. .

Step-by-step explanation:

Consider the power rule for integration. Let be a real number that is not equal to . The power rule for integration states that:

,

How could this rule apply to this question, since there's apparently no (or its powers) in the integrand? Keep in mind that for all real (and particularly non-zero) values of . In other words, the integrand is equal to . The integral becomes:

.

The constant can be moved outside the integral sign. Therefore:

.

Now that resembles the power rule. In particular, , such that . By the power rule:

.

The non-zero constant in front of can be ignored (where represents the constant of integration.) Therefore:

.

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation: