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2 years ago

Pls help if u only know the answer thanks!

Mathematics

2 answers:

Vinvika [58]2 years ago

7 0

Answer:

-6.8

Step-by-step explanation:

Go down by 0.1 each time. Hope I helped.

Rama09 [41]2 years ago

4 0

Answer:

-6.8

Step-by-step explanation:

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Find the volume of a ball with a radius of 7cm.

azamat

Answer:

1436.7550402417cm³

Explanation:

Formula for volume: $\bold{\frac{4}{3} \ \pi \ r^3}$

π = 3.14

R = 7

4/3 · 3.14 · 343

= 1436.7550402417cm³

7 0

2 years ago

Can someone please help me

mars1129 [50]

Answer:

I think the answer is b

Step-by-step explanation:

7 0

2 years ago

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Find dy/dx for y= x^3 ln (cot x)

ICE Princess25 [194]

<h3>Answer</h3>

$\dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)$

<h3>Explanation</h3>

By the product rule $(d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x)$ , we have

$\begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}$

By the chain rule:

$\begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}$

By the power rule:

$(x^3)' = 3x^2$

thus

$\begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}$