What is this polynomial

Mathematics

1 answer:

GenaCL600 [577]3 years ago

4 0

What question is it?

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Find the area of the triangle A. 26 yd2 B. 12yd2 C. 24yd2 D. 36yd2

pogonyaev

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3 years ago

Calculus: Help ASAP

Serggg [28]

$\bf \displaystyle \int\limits_{-1}^{0}~(4x^6+2x)^3(12x^5+1)\cdot dx\\\\
-------------------------------\\\\
u=4x^6+2x\implies \cfrac{du}{dx}=24x^5+2\implies \cfrac{du}{2(12x^5+1)}=dx\\\\
-------------------------------\\\\
\displaystyle \int\limits_{-1}^{0}~u^3\underline{(12x^5+1)}\cdot\cfrac{du}{2\underline{(12x^5+1)}}\implies \cfrac{1}{2}\int\limits_{-1}^{0}~u^3\cdot du\\\\
-------------------------------\\\\$

$\bf \textit{now, we'll change the bounds, using u(x)}
\\\\\\
u(-1)=4(-1)^6+2(-1)\implies u(-1)=2
\\\\\\
u(0)=4(0)^6+2()\implies u(0)=0\\\\
-------------------------------\\\\
\displaystyle \cfrac{1}{2}\int\limits_{2}^{0}~u^3\cdot du\implies \left. \cfrac{1}{2}\cdot \cfrac{u^4}{4} \right]_{2}^{0}\implies \left. \cfrac{u^4}{8} \right]_{2}^{0}\implies [0]-[2]\implies -2$

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3 years ago

What is the standard form of x/4 - y/3 =1 and 5/x - 2/y=7.

kompoz [17]

You can multiply both sides by a number that will get rid of the denominators. For ex. you can multiply the first equation by 12 because 4 and 3 both go into 12 evenly. MAKE SURE YOU MULTIPLY THE OTHER SIDE BY 12 AS WELL! Therefore, 12(x/4) - 12(y/3) = 12(1), or 3x - 4y = 12

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3 years ago

A scientist has started a bacteria culture with 1,000 cells. The cells will double every hour. 1. Write the sequence that repres

babymother [125]

Answer:

See below in bold.

Step-by-step explanation:

1. The sequence is 1000, 2000, 4000, 8000.

2. The common ratio is 2000/1000 = 2.

3. Number of bacteria after 7 hours is 1000(2)^(7- 1)

= 64,000.

4. 1000(2)^(x-1) > 1,000,000

2^x-1 > 1000

x- 1 log 2 > log 10

x- 1 > 9.96

x > 10.96

During the 11th hour.

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3 years ago