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2 years ago

Can u help me with these please!

Mathematics

1 answer:

dimaraw [331]2 years ago

8 0

Answer: question one on the sheet AB + 2(CD) =16 and 2(AB)-CD=8 question 3 CD and JK have the same length question 4 EF and AD have the same length question 5 GH is different from all the lengths

question 6 its (3,4) (-1,-3) (4,-1) question 7 (-3,-1) (4,-4) (0,4) srry if im wrong on most of them

Step-by-step explanation: bc im confident

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PLEASE HELP IM STUCK

viktelen [127]

Answer:

y=-1/4x-6

It crosses the y axis at -6 and has a slope of 1/4

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2 years ago

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How to find the derivative of cos^2x? i seem to be confused.

slamgirl [31]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

• Method I:

y = cos² x

y = cos x · cos x

Differentiate it by applying the product rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x)\cdot cos\,x+cos\,x\cdot \dfrac{d}{dx}(cos\,x)}$

The derivative of cos x is – sin x. So you have

$\mathsf{\dfrac{dy}{dx}=(-sin\,x)\cdot cos\,x+cos\,x\cdot (-sin\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=-sin\,x\cdot cos\,x-cos\,x\cdot sin\,x}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

—————

• Method II:

You can also treat y as a composite function:

$\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.$

and then, differentiate y by applying the chain rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{du}(u^2)\cdot \dfrac{d}{dx}(cos\,x)}$

For that first derivative with respect to u, just use the power rule, then you have

$\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2u\cdot (-sin\,x)\qquad\quad (but~~u=cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2\,cos\,x\cdot (-sin\,x)}$

and then you get the same answer:

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus

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3 years ago

Graph y=-1/2x-6 WILL GIVE BRAINLIEST

user100 [1]

This is the graph for that

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2 years ago

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What is the volume of the following triangular prism? 60 cm3 12 cm3 3.75 cm3 6 cm3

DochEvi [55]

By definition, the prism volume is given by:
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L: long
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$V = ((1/2) * (12) * (2.5)) * (4)
 
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Answer:
The volume of the triangular prism is:
$V = 60 cm ^ 3$

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