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3 years ago

Help please I will mark brainliest!

Mathematics

2 answers:

ruslelena [56]3 years ago

8 0

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Lelechka [254]3 years ago

4 0

Answer:

multiply 8 x 4=22

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Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2

lbvjy [14]

Step 1:
Start by putting $\frac{d}{dx}$ in front of each term

$\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]$
-----------------------------------------------------------------------------------------------------------------
Step 2:

Deal with the terms in 'x' and the constant terms
$\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]$
----------------------------------------------------------------------------------------------------------------
Step 3:

Use the chain rule for the terms in 'y'
$\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------
Step 4:

Use the product rule on the term in 'x' and 'y'
$(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}
$
$y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------

Step 5:

Rearrange to make $\frac{dy}{dx}$ the subject
$-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
$cos(x) \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)$
$[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)$
$\frac{dy}{dx}= \frac{10x+ysin(y)}{cos(x)-6y}$ ⇒ Final Answer

5 0

3 years ago

Find the area of the shaded region. (Plz show work)

Kamila [148]

Answer:

Area of shaded region ≈ 192.42

Step-by-step explanation:

21/2 = radius

radius = 10.5 m

A = πr squared

Area of shaded region≈346.36

10.5 - 3.5 = 7

Area of unshaded region ≈ 153.94

346.36 - 153.94 = 192.42

8 0

3 years ago

A gardener weeds 2/3 of a flower bed in 6 min.

Aleksandr-060686 [28]

So,

To find how much the gardener weeded in one minute, we multiply the fraction by one sixth.

$\frac{2}{3} * \frac{1}{6} = \frac{2}{18} or \frac{1}{9}$

In decimal form, it would be .11111111111111111111

4 0

2 years ago

Factor and solve the equation

murzikaleks [220]

$y=4x^2-64=4(x^2-16)=4(x^2-4^2)=4(x-4)(x+4)\\\\-------------------------------\\\\4(x-4)(x+4)=0\iff x-4=0\ or\ x+4=0\\\\x=4\ or\ x=-4$

8 0

3 years ago

Locate 81/5,8.5,84/5,8.44 on a number line then write the numbers in order from least to greatest

Ray Of Light [21]

81/5 = 16.2
8.5
84/5 = 16.8
8.44
So from least to greatest would be: 8.44, 8.5, 16.2, 16.8
Hope this helps and if so please leave a good rating and thanks and maybe even brainliest answer. Thank you I really appreciate it. Have a nice day!

6 0

2 years ago