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2 years ago

6

Find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using it. lim x→0+ arcta

n(9x) ln(x)

1 answer:

Thepotemich [5.8K]2 years ago

8 0

The answer for your problem is shown on the picture.

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Find the second derivative at the point (1,1), given the function below. 2x^9+1=3y^3

lyudmila [28]

The value at point ( 1, 1 ) is 8.

<u>Explanation:</u>

Given

3y³ = 2x⁹ + 1

y³ = 2/3x⁹ + 1/3

y = ∛2/3 x⁹ + 1/3

We need to first find dy/dx which is the first derivative and then d²y/dx² which is the second derivative

$\frac{dy}{dx} = \frac{2x^8}{y^2}$

$\frac{d^{2}y }{dx^2} = \frac{16x^7}{y^2} - \frac{8x^1^6}{y^5}$

Put the value of (1,1) : x = 1 and y = 1 in d²y/dx² equation

$\frac{d^2y}{dx^2} = \frac{16 X 1^7}{1^2} - \frac{8 X 1^1^6}{1^5}$

$\frac{d^2y}{dx^2} = 16 - 8\\\\\frac{d^2y}{dx^2} = 8$

Therefore, the value is 8.

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2 years ago

Mrs.Bailey had 15 pieces of candy. She gave away some candy and has 3 pieces left. What is the percent decrease of candy?

Alenkasestr [34]

Answer:

12

Step-by-step explanation:

subtract 15 away from 3 and you have 12 so that how Mrs. Bailey has 3 pieces of candy left

3 0

2 years ago

Read 2 more answers

Which angles are acute?

postnew [5]

Answer:

Angles DBA, GFE, and GFH (not an option) are acute.

Step-by-step explanation:

Acute means less than 90 degrees. I hope that this helps! :)

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1 year ago

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tommy's toy car sits 5 feet from the gound. it goes down the ramp at .25 feet per second. how far does it go in 1.5 seconds?

Tamiku [17]

Answer:

0.375 feet.

Step-by-step explanation:

Multiply .25 by 1.5 to get 0.375.

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2 years ago

Trapezoid ABCD is congruent to trapezoid A"B"C"D". Which sequence of transformations could have been used to transform trapezoid

Contact [7]

Answer:ygggydtdgdgdfddgfs

Step-by-step explanation:

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2 years ago