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Masteriza [31]
2 years ago
13

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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A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is
sweet-ann [11.9K]

The maximum height that the pendulum can reach will be 45 meters.

<h3>How to calculate the height?</h3>

It should be noted that the total energy at A should be equal to the total energy at B.

Therefore, this will be calculated thus:

1/2(14)² + 10(35) = 1/2(0)² + mgH

98 + 350 = 10H

448 = 10H

H = 448/10

H = 44.8 meters

H = 45 meters approximately

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7 0
2 years ago
Read 2 more answers
What are the x and y intercepts of the graph of -4x + 5x = -40?
Nataly [62]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~

-4x + 5x = -40

y = -4x +5x + 40

y = x + 40

~~~~~~~~~~~~~~~~~~~~~~~~~~

by the look of it, after you turn that equation into slope-intercept form (y = mx + b) the intercepts are y = 40  &  x = -40

6 0
3 years ago
HELP PLEASE
olga55 [171]
The slope of a line includes a x and y axis, or y/x. Your two answers are -7/4 and -8/5. Hope that helps!
6 0
3 years ago
Please help fast please
prohojiy [21]
70-35 I believe that’s write
8 0
2 years ago
Select the correct answer.
schepotkina [342]

Answer:

He drove the rest of the trip at 30 miles per hour

Step-by-step explanation:

The rule of the distance is D = v × t, where

  • v is the speed
  • t is the time

∵ It is 170 miles from Bruce's house to the city where his brother lives

∴ D = 170 miles

∵ He drove for 2 hours at 55 miles per  hour

∴ t1 = 2 hours and v1 = 55 miles/hour

→ By using the rule above find the distance of this part of his trip

∴ D1 = 55 × 2 = 110 miles

∵ The rest of the trip took 2 hours

∴ t2 = 2 hours

∵ D = D1 + D2

→ Substitute the values of D and D1 to find D2

∴ 170 = 110 + D2

→ Subtract 110 from both sides to find D2

∴ 60 = D2

∴ D2 = 170 - 110 = 60 miles

∵ The rest of the trip is 60 miles

∵ It took 2 hours

∵ D2 = v2 × t2

∴ 60 = v2 × 2

→ Divide both sides by 2

∴ 30 = v2

∴ v2 = 30 miles/hour

∴ He drove the rest of the trip at 30 miles per hour

3 0
3 years ago
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