4 years ago

Find the perimeter of the smaller figure given. Answer is not 110.

Mathematics

1 answer:

Alja [10]4 years ago

5 0

Answer:

c. 66

Step-by-step explanation:

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I need help solving this problem. <img src="https://tex.z-dn.net/?f=4x%20cos%20%5E%7B-1%7D%20%282x%2B4%29-%20%5Csqrt%7B3-3%20x%5

Gnesinka [82]

Given:
$f(x)=4xcos^{-1}(2x+4)-\sqrt{3-3x^2}$

Using
$\frac{d}{dx}cos^{-1}(x)=-\frac{1}{\sqrt{1-x^2}}$
we derive
$\frac{d}{dx}4xcos^{-1}(2x+4)$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}$

Similarly, using
$\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}$
we derive
$\frac{d}{dx}(-\sqrt{3-3x^2})$
$=\frac{3x}{\sqrt{3-3x^2}}$

Therefore, the derivative is
$f'(x)=\frac{d}{dx}(4xcos^{-1}(2x+4)-\sqrt{3-3x^2})$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}+\frac{3x}{\sqrt{3-3x^2}}$

3 0

3 years ago

Read 2 more answers

Point N ( , 2 9) is on RS. A translation moves point N to its image, N'(6 3 , ). What is the distance, in units, between any poi

KatRina [158]

Hello!

Distance between two points (2,9) and (6,3) -

1. Take the Absolute Difference between the X points 2 and 6. The Absolute Difference is 4. 
2. Square 4 = 16 
3. Take the Absolute Difference between the Y points 9 and 3. The absolute Difference is 12. 
4. Square 12 = 144 
5 Add 144 + 16 = 160 
6. Take the Square root of 160 

12.6491106407

Hope this Helps at least! :)

7 0

3 years ago

Nick's science class is observing the growth rate of a tomato plant. The tomato plant grows 3 cm every week for 12 weeks. What i

Alexandra [31]

Answer:

36 cm

Step-by-step explanation:

Because the plant is growing the same amount each week you would take 12(3) and get 36 cm at the end of the 12 weeks.

7 0

3 years ago

I need help bad very bad

Nat2105 [25]