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Fantom [35]
2 years ago
9

factor the polynomial function over the complex numbers. f(x) = x^4 + 3x^2 - 4? WILL GIVE BRAINLIEST AND 50 POINTS (ALGEBRA 2) N

EED ANSWER ASAP
Mathematics
2 answers:
Rufina [12.5K]2 years ago
8 0

Answer:

(x+1)(x−1)(x+2i)(x−2i)

Step-by-step explanation:

I saw this on my assignment, study guide, and test. It was correct and checked by my teacher.

Flura [38]2 years ago
7 0

Answer:

(x+1)(x−1)(x+2i)(x−2i)

Step-by-step explanation:

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T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
Brianna needs to rent a car while on vacation. The rental company charges $18.95, plus 15 cents for each mile driven. If Brianna
borishaifa [10]

Answer:

Step-by-step explanation:

First we subtract 18.95 from 50 to get 31.05. Then we divide our new number by .15 to get 207 which is your number of miles :)

6 0
2 years ago
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Pls help construct this for meee
matrenka [14]

Answer:

See the image for solution.

Brainlist please

8 0
3 years ago
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Which of the numbers below is less than zero? Select all that apply.
UkoKoshka [18]

Answer:

A, B, E area ll less than 0

Step-by-step explanation:

They are all negative numbers.

4 0
2 years ago
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It take Tom 2 hours to drive to the campground it takes 3times as long to drive to her favorite beach .how long does it take Tom
nasty-shy [4]
If it takes Tim 2 hours to drive to the campground and it takes 3 times more long then driving to the campground. Then all you have to do is 3 multiplied by 2 and then your answer would be 6 hours.

Hope it helps!
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3 years ago
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