Answer:
a. ∫ xSinx dx
iii. integration by parts
u =x and dv= sinx
b. ∫ x⁴/(1+x³). dx
ii. neither
Long division is an option here before integration is done
c. ∫ x⁴. e^x³. dx
i. substitution
where u = x⁵
d. ∫x⁴ cos(x⁵). dx
i. substitution
where u = x⁵
e. ∫1/√9x+1 .dx
i. substitution
where u = 9x+1
Part A: f(x)=(5)x+20(alligators) and f(x)=(10)x+25(crocodiles)
Part B: f(x)=(5)(4)+20(alligators) and f(x)=(10)(4)+25(crocodiles)
Alligators: 40 and Crocodiles: 65
Part C: None because the rate of the alligators won't catch up with the rate of crocodiles.
Answer:
The answer is 72 degrees
Step-by-step explanation:
The picture that Helpmetnx showed does work. But they made a mistake and assumed that the diagonal is a angle bisector, and it's not.
1. rectangle ABCD, BD & AC are the diagonals. ∠ABD =36 degrees
2. ∠ABD= ∠BDC = 36 - alternate interior angles
3. ∠DBC = 90 - 36 = 54. ∠DBC =∠ADB = ∠BCA = 54
4. Now we know that the triangle formed between the two diagonals is a isosceles triangle because of base angle theorem.
5. 180 - 54*2 = 72 degrees
I hope this helps!
The expected number out of 1000 selected college seniors that completed 1 job application through the career
centers is given by 0.011 x 1000 = 11 which is close to 14.
The expected number out of 1000 selected college seniors that completed 2 job application through the career
centers is given by 0.115 x 1000 = 115 which is far away from 15.
The expected number out of 1000 selected college seniors that completed 3 job application through the career
centers is given by 0.123 x 1000 = 123 which is close to 130.
Therefore, the result that would be suprising is "15 seniors completed 2 job applications through the career
center."
The options of the problem are

we have

we know that
<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms
p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.
So
in this problem
the constant term is equal to 
and the first monomial is equal to
-----> coefficient is 
therefore
<u>the answer is the option </u>
D. 