3 years ago

How to find the area of the rectangle

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Area of a rectangle = length x width

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Y=(2x-3)^5(2-x^4)^3 differentiate the function please

BARSIC [14]

$\bf y=(2x-3)^5(2-x^4)^3\\\\
-------------------------------\\\\
\cfrac{dy}{dx}=\stackrel{\textit{product rule}}{[5(2x-3)^4\cdot 2(2-x^4)3]~~+~~[(2x-3)^5[3(2-x^4)^2(-4x^3)]]}
\\\\\\
\cfrac{dy}{dx}=10(2x-3)^4(2-x^4)^3~~-~~12x^3(2x-3)^5(2-x^4)^2
\\\\\\
\cfrac{dy}{dx}=\stackrel{\textit{common factor}}{2(2x-3)^4(2-x^4)^2}~[5(2-x^4)-6x^3(2x-3)]
\\\\\\
\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2~[10-5x^4-12x^4+18x^3]
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\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2(10-17x^4+18x^3)$

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2 years ago

What is the area: triangle with base of 14 in and height 10 in

Anika [276]

Triangle area formula: base*height/2
so, 14*10/2 = 7*10 = 70 sq. in.

7 0

2 years ago

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What is the slope of the line that passes through (1,-4) and (-4,-6)

Fudgin [204]

The slope of the line is 4/10

remember: rise over run

6 0

2 years ago

Cindy claims that 4^x/12^x = 1/3<br> What is a single-digit whole number that supports her claim?

Lana71 [14]

Answer:

x=1

Step-by-step explanation:

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2 years ago

mr.wilson bought 4 tires for $390.60. If each tire cost $90 before tax was added. What tax rate did he pay on the tires?

elixir [45]

First calculate after tax tire price
$390.60 / 4 = $97.65 after tax price per tire
take the $97.65 divided by 90
97.65 / 90 = 1.085
1.085 is the rate of tax he paid per tire

4 0

2 years ago