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2 years ago

Evaluate the following integral or state that it diverges. *integral 0 to 1 (ln x)do

Mathematics

1 answer:

dolphi86 [110]2 years ago

6 0

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

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(Absolute value of 12 - 20) - (27/3 + 11) ^2

rodikova [14]

Answer:

the answer is 400-8=394.

Step-by-step explanation:

6 0

2 years ago

After a new $28,000 car is driven off the lot, it begins to depreciate at a rate of 18.9% annually.

REY [17]

Answer:

C(t) = $28,000(0.811)^t (Answer A)

Step-by-step explanation:

The value of the car is decreasing. Thus, by the end of the first year of ownership, the car will have the value $28,000(1 -0.189)^1, where the "-0.189" represents DECAY instead of GROWTH.

Please use " ^ " to indicate exponentiation.

Then the desired formula is C(t) = $28,000(0.811)^t (Answer A)

4 0

2 years ago

Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he tak

telo118 [61]

T 1 2 3 4
B 3 6 9 12
This is linear relationships B=3*T (it can be also called directly proportional)

3 0

3 years ago

Write a decimal that is equivalent to three and ten hundredths.

Sindrei [870]

3.1

First, we need to convert 10/100s into a decimal. We can simplify it to 1/10, which is also 0.1.

Then, we add 0.1 to 3 and get our answer: 3.1.

Hope this helped!

4 0

3 years ago

Read 2 more answers

4n² +7n=0 what do I do if there is no part c?

Gnoma [55]

Answer:

Find the coefficients using ax^2 + bx + c = 0

a = 4

b = 7

c = 0

Make the coefficient equal 1. But how do we do that? Division.

4n² + 7n = 0

4/4n² + 7n/4 = 0/4

Simplify

= n² + 7/4n = 0

a = 1

b = 7/4

c = 0

Complete the square using b/2².

b = 7/4

(b/2)² = (7/4 ÷ 2)²

Use fraction rule.

7/4 ÷ 2² = 7/4² / 2²

square the numbers

7/4² / 2² = 49/16 ÷ 4

49/16 ÷ 4 = 49/16 × 1/4

49/16 × 1/4 = 49/64

Add to both sides of the equation using 49/64

b = 7/4

b/2 = 7/4 ÷ 2

simplify

b/2 = 7 ÷ (4 × 2)

simplify(arithmetic)

b/2 = 7/8

n² + 7/4n + 49/64 = 49/64

(n + 7/8)² = 49/64

Solve for the unknown x

$(n+\frac{7}{8})^2=\frac{49}{64}\\\sqrt{(n+\frac{7}{8})^2}=\sqrt{\frac{49}{64}}\\$

Next, cancel out the square on the left side.

$n+\frac{7}{8}=+/-\sqrt{\frac{49}{64}}$

Subtract 7/8 from both of the sides.

$n+\frac{7}{8}-\frac{7}{8}=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}$

Simplify the left side.

$n=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\\n=-\frac{7}{8}+/-\frac{\sqrt{49}}{\sqrt{64}}\\n=-\frac{7}{8}+/-\frac{7}{8}\\n_1=0\\n_2=-\frac{7}{4}$

That wraps it up for this equation. Hope it helped!

3 0

1 year ago