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3 years ago

What is an example of radiaton

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Answer:

ultraviolet light from the sun.

Step-by-step explanation:

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Who can help me d e f thanks

12345 [234]

$y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}$

Product rule:

$y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'$

Chain and power rules:

$y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'$

Power rule:

$y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)$

Now simplify.

$y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y = \dfrac{3bx + ac}{\sqrt{ax}}$

Quotient rule:

$y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}$

$y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}$

Power rule:

$y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}$

Now simplify.

$y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}$

$y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}$

$y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}$

$y = \sin^2(ax+b)$

Chain rule:

$y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'$

$y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'$

$y' = 2a \sin(ax+b) \cos(ax+b)$

We can further simplify this to

$y' = a \sin(2(ax+b))$

using the double angle identity for sine.

7 0

2 years ago

HELP PLS ITS ALGEBRA 1

Georgia [21]

Answer:

$- \frac{2}{6}$

Step-by-step explanation:

Use distributive property to simplify both sides.

$\frac{1}{6} (1 - 6x) = - \frac{1}{3} ( 6x + \frac{1}{2} )$

Use the Golden Rule of Algebra: (What we do to one side, we must do to the other).

$\frac{1}{6 } - x = - 2x - \frac{1}{6}$

$\frac{1}{6} = - x - \frac{1}{6}$

$\frac{2}{6 } = - x$

$x = - \frac{2}{6}$

5 0

3 years ago

Read 2 more answers

Dana can jump a rope 264 times in 4 minutes. How many jumps can Dana make in one minute?

katrin [286]

I know the answer!! The answer is C) 66 jumps

7 0

4 years ago

Read 2 more answers

Can you solve this for me please

Taya2010 [7]

Answer:

b) 36

Step-by-step explanation:

area= ((sum of parallel lines) / 2) * hight

X = ((8 + (8+4+4))/2) *3

X= ((8+ (16) /2) *3

X= ((24)/2)*3

X= 12*3

x=36

3 0

2 years ago

HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.

EleoNora [17]

Answer:

24x - 9y=0

Step-by-step explanation:

8x=3y+2-16x+6y=2

8x=9y+2-16x=2

8x+16-9y=2-2

24x-9y=0

6 0

3 years ago