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3 years ago

PLZ HELP 20 POINTS

Mathematics

1 answer:

posledela3 years ago

6 0

Answer:

P' (-3,4)

Step-by-step explanation:

Reflected across the x axis so only y changes (opposite) but x will stay the same

If Point P (−3, −4) is reflected across the x axis then P' will be (-3, 4)

Answer:

P' (-3,4)

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If 2x + 8 = 0, what justifies 2(x + 4) = 0?

musickatia [10]

Answer:

2(x+4)=0

2x+8=0

8-0=2x

8/2=x

4=x

x=4

7 0

3 years ago

Please help me answer this question

stealth61 [152]

The value of dy/dx for the functions are

(i) $\frac{dy}{dx} = 4x^{2}sin2x.cos2x+ 2x. sin^{2}2x$

(ii) $\frac{dy}{dx} =\frac{- y(1+3x^{2})}{2x(1+x^{2}) }$

<h3>Differentiation</h3>

From the question, we are to determine dy/dx for the given functions

(i) $x^{2} sin^{2}2x$

Let $u = x^{2}$

and

$v = sin^{2} 2x$

Also,

Let $w= sin2x$

∴ $v = w^{2}$

First, we will determine $\frac{dv}{dx}$

Using the Chain rule
$\frac{dv}{dx} = \frac{dv}{dw}.\frac{dw}{dx}$

$v = w^{2}$

∴ $\frac{dv}{dw} =2w$

Also,

$w= sin2x$

∴ $\frac{dw}{dx} =2cos2x$

Thus,

$\frac{dv}{dx} = 2w \times 2cos2x$

$\frac{dv}{dx} = 2sin2x \times 2cos2x$

$\frac{dv}{dx} = 4sin2x . cos2x$

Now, using the product rule

$\frac{dy}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}$

From above

$u = x^{2}$

∴ $\frac{du}{dx}=2x$

Now,

$\frac{dy}{dx} = x^{2} (4sin2x.cos2x)+ sin^{2}2x (2x)$

$\frac{dy}{dx} = 4x^{2}sin2x.cos2x+ 2x. sin^{2}2x$

(ii) $xy^{2}+y^{2}x^{3} +2=0$

Then,

$x.2y\frac{dy}{dx}+ y^{2}(1)+y^{2}.3x^{2} + x^{3}.2y\frac{dy}{dx} +0=0$

$2xy\frac{dy}{dx}+ y^{2}+3x^{2}y^{2} + 2x^{3}y\frac{dy}{dx} =0$

$2xy\frac{dy}{dx}+2x^{3}y\frac{dy}{dx} =- y^{2}-3x^{2}y^{2}$

$\frac{dy}{dx} (2xy+2x^{3}y)=- y^{2}(1+3x^{2})$

$\frac{dy}{dx} =\frac{- y^{2}(1+3x^{2})}{2xy+2x^{3}y}$

$\frac{dy}{dx} =\frac{- y^{2}(1+3x^{2})}{2xy(1+x^{2}) }$

$\frac{dy}{dx} =\frac{- y(1+3x^{2})}{2x(1+x^{2}) }$

Hence, the value of dy/dx for the functions are

(i) $\frac{dy}{dx} = 4x^{2}sin2x.cos2x+ 2x. sin^{2}2x$

(ii) $\frac{dy}{dx} =\frac{- y(1+3x^{2})}{2x(1+x^{2}) }$

Learn more on Differentiation here: brainly.com/question/24024883

#SPJ1

8 0

2 years ago

A gallon of gasoline cost $2.96 your car has 32 gallon gas tank and can travel 28.8 miles on each gallon of gasoline find the co

marusya05 [52]

32*5= 160/8 = 20
32-20 = 12
12*2.96 = 35.52

it will cost $35.52 to fill the gas tank

8 0

3 years ago

URGENT. Geometric Probability.

hichkok12 [17]

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

$h=3*\dfrac{\sqrt{3}}{2}$

Area of the triangle:

$A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\$

Area of the disk:

$S=\pi*4^2=16\pi\\\\$

Probability:

$p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}$

4 0

3 years ago

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Write 4 1/3 as an inproper fraction

m_a_m_a [10]

Answer:

4 1/3 as an improper fraction is 13/3

7 0

3 years ago

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