Answer:
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Answer:
1.14200738982×10^26
Step-by-step explanation:
Substitution can make this integral much easier to evaluate.
<h3>Substitution</h3>
Let u = 7x² -x. Then du = (14x -1)dx. The limits on x become different limits for u:
for x = 1: u = 7(1²) -1 = 6
for x = 3: u = 7(3²) -3 = 60
<h3>Integral</h3>

Answer:
do you like having a pet is more of a statistical question but all of them are statistical questions
Step-by-step explanation:
Answer:
2520 ways
Step-by-step explanation:
We can solve this problem with 3 combinations:
First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120
Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21
The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.
Now we just need to multiply the combinations to find the result:
C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:



Figure (b) is a square of edge 2 yd. So, the area of the square is:



The area of the given figure is:



Therefore, the area of the given figure is 19 square yd.