3 years ago

PLEASE HELP - Which of these graphs represents a nonlinear function ?

Mathematics

2 answers:

Rama09 [41]3 years ago

7 0

Figure 3 because the line is not straight

timofeeve [1]3 years ago

5 0

Figure 3

Step-by-step explanation:

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What is the derivative of ln(lnx^3)

chubhunter [2.5K]

the derivative of ln(lnx^3) is $\frac{1}{x(lnx)}$ .

<u>Step-by-step explanation:</u>

Here we have to find the derivative of ln(lnx^3) , Let's find out:

We have , $ln(lnx^3)$ , Let's differentiate it w.r.t x :

⇒ $\frac{d(ln(lnx^3))}{dx}$

Let $lnx^3 = u$

⇒ $\frac{d(ln(u))}{dx}$

⇒ $\frac{1}{u} (\frac{d(u)}{dx} )$

⇒ $\frac{1}{u} (\frac{d(ln(x^3))}{dx} )$

Let $x^3=v$

⇒ $\frac{1}{u} (\frac{d(ln(v))}{dx} )$

⇒ $\frac{1}{u}(\frac{1}{v} ) (\frac{d(v)}{dx} )$

⇒ $\frac{1}{u}(\frac{1}{v} ) (\frac{d(x^3)}{dx} )$

⇒ $3x^2(\frac{1}{u})(\frac{1}{v} )$

Putting value of u & v we get:

⇒ $3x^2(\frac{1}{lnx^3})(\frac{1}{x^3} )$

⇒ $\frac{3}{x(lnx^3)}$ { $lnx^n = n(lnx)$ }

⇒ $\frac{3}{3x(lnx)}$

⇒ $\frac{1}{x(lnx)}$

Therefore , the derivative of ln(lnx^3) is $\frac{1}{x(lnx)}$ .

6 0

3 years ago

The diagram shows a cuboid with a volume of 42 cm3.

UkoKoshka [18]

Answer:

7 cm

Step-by-step explanation:

Volume of cuboid = L x L x L

42 = 2 x 3 x L

6 L = 42

L = 42/6

L = 7 cm

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4 years ago

In ΔRST, the measure of ∠T=90°, ST = 27 feet, and RS = 47 feet. Find the measure of ∠R to the nearest degree?

Reika [66]

Use Sin in SOH - CAH - TOA
Hope it help!!

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3 years ago

W -3/4= -1/8 simplify the awnser as much as possible

oksian1 [2.3K]

The answer to your question is:
<span> w = 5/8 = 0.625</span>

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3 years ago

Find the perimeter of a semicircular region with a radius of 15 in

Len [333]

Answer:

diameter of semicircle? ---> 30cm

perimeter- pi*r ----> 3.14159265 x 15 ---->47.12 cm

Step-by-step explanation:

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3 years ago