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goblinko [34]
3 years ago
13

Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the follo

wing expressions is the largest? Explain why. Show all work necessary.
A: 2(A + B)
B: (A + B)^2
C: A^2 + B^2
D: A^2 − B^2
Mathematics
1 answer:
lina2011 [118]3 years ago
8 0
C. A^2 +B^2 will be the largest because we know that (a+b)^2 = a^2 +2ab +b^2

so than you check these other choices this ie the largest sure 

hope this will help you 
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Find integrate (1/(xsqrt(1+(lnx)^2)),1,e,x) ...?
prohojiy [21]
Note that x² + 2x + 3 = x² + x + 3 + x. So your integrand can be written as 

<span>(x² + x + 3 + x)/(x² + x + 3) = 1 + x/(x² + x + 3). </span>

<span>Next, complete the square. </span>

<span>x² + x + 3 = x² + x + 1/4 + 11/4 = (x + 1/2)² + (√(11)/2)² </span>

<span>Also, for the x in the numerator </span>

<span>x = x + 1/2 - 1/2. </span>

<span>So </span>

<span>(x² + 2x + 3)/(x² + x + 3) = 1 + (x + 1/2)/[(x + 1/2)² + (√(11)/2)²] - 1/2/[(x + 1/2)² + (√(11)/2)²]. </span>

<span>Integrate term by term to get </span>

<span>∫ (x² + 2x + 3)/(x² + x + 3) dx = x + (1/2) ln(x² + x + 3) - (1/√(11)) arctan(2(x + 1/2)/√(11)) + C </span>

<span>b) Use the fact that ln(x) = 2 ln√(x). Then put u = √(x), du = 1/[2√(x)] dx. </span>

<span>∫ ln(x)/√(x) dx = 4 ∫ ln u du = 4 u ln(u) - u + C = 4√(x) ln√(x) - √(x) + C </span>

<span>= 2 √(x) ln(x) - √(x) + C. </span>

<span>c) There are different approaches to this. One is to multiply and divide by e^x, then use u = e^x. </span>

<span>∫ 1/(e^(-x) + e^x) dx = ∫ e^x/(1 + e^(2x)) dx = ∫ du/(1 + u²) = arctan(u) + C </span>

<span>= arctan(e^x) + C.</span>
4 0
3 years ago
URGENT: Zack and Zane were floating down the river. They climbed to the top of the rock, which was 14.6 feet above the water lev
zzz [600]

Answer:

Step-by-step explanation: 21.4 feet i think

6 0
3 years ago
Read 2 more answers
Ted bought a fishing pole for $35.99, and a pair of shorts for 14.99. He had a coupon for 25% off the shorts only. What was the
NeX [460]

Answer: I think it is 47.23


Step-by-step explanation: Because 25% of 14.99 = 11.2425 But 35.99+11.2425 dose not seem right so I pretty sure it would be 35.99+11.24= 47.23

-Alissa

Hopefully this is right.... sorry if it is wrong


4 0
3 years ago
Read 2 more answers
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

#SPJ1

4 0
1 year ago
Help please! which choice represents the fraction below as a single exponential expression?
elixir [45]

Answer:

B

Step-by-step explanation:

use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4

5 0
3 years ago
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