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3 years ago

What is 2x^2+7x-4/x^3 -1

Mathematics

2 answers:

I am Lyosha [343]3 years ago

6 0

Domain is the numbers you can use
you can't use any numbers that make an impossibility like a negative square root or dividing by 0

set the denomenator equal to 0 to find what values of x make it 0
x^3-1=0
add 1 both sides
x^3=1
cube root both sides
x=1
domain is all real numbers except for 1
range is the numbers you get from inputing domaain
there is a vertical assemtote there so all bases are covered
range is how high and low y goes
domain is how far left and right x goes

domain is all real numbers except x=1
range is all real numbers

Volgvan3 years ago

6 0

Find vertical and horizontal asymptotes
vertical: set denominator=0
x^3-1=0
x^3=1
VA=1

horizontal: highest degree of num. < highest degree of den.
HA=0

domain and range
d: (-infinity, 1)U(1, infinity)
r: (-infinity, 0)U(0, infinity)

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If f(x) = 9x10 tan−1x, find f '(x).

djverab [1.8K]

Answer:

$\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = 9x^{10} \tan^{-1}(x)$

Step 2: Differentiate

[Function] Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Basic Power Rule: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Arctrig Derivative: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

What is the name of the pattern block used to cover half the hexagon called

Musya8 [376]

The answer would be a trapezoid.

7 0

2 years ago

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5th grade math. Correct answer will be marked brainliest.

myrzilka [38]

Answer:

45.2 × 10⁰ = 45.2 (a⁰ = 1 )

45.2 × 10¹ = 452

45.2 × 10² = 4520

45.2 × 10³ = 45200

8 0

2 years ago

Read 2 more answers

In Exercises 15-18, find the measure of the exterior angle.

valina [46]

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

$(2x-2)\°=x\°+45\°$

solve for x

$2x-x=45+2$

$x=47\°$

Find the measure of the exterior angle

$(2x-2)\°=(2(47)-2)=92\°$

6 0

2 years ago

Simplify (8c^4w^2)^2 show work

muminat

Exponents are not particularly mysterious. They show repeated multiplication. That is ...

... c⁴ = c·c·c·c

... w² = w·w

Then the factor inside parentheses is ...

... 8·c·c·c·c·w·w

The exponent outside parentheses tells you the number of times this is repeated as a factor:

... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)

... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴

_____

You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.

$\displaystyle\left(8c^{4}w^{2}\right)^{2}=8^{2}\cdot c^{4\cdot 2}\cdot w^{2\cdot 2}\\\\=64c^{8}w^{4}$

7 0

2 years ago