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Lunna [17]
3 years ago
7

Pls help. i never understood this rule.

Mathematics
1 answer:
Dimas [21]3 years ago
8 0
L'Hopital rule only applies to indeterminate cases of 0/0 or ∞/∞ or 0*0 or ∞ * ∞.

and you'd need to make the expression a rational, where the numerator and denominator gives you 0/0 or ∞/∞, then you apply L'Hopital.

the only candidate there is 

\bf \lim\limits_{x\to \infty}\cfrac{2x^2-1}{3x+1}\implies \lim\limits_{x\to \infty}\cfrac{2(\infty)^2-1}{3(\infty)+1}\implies \cfrac{\infty}{\infty}
\\\\\\
\textit{so we can use L'Hopital by instead using the derivatives}
\\\\\\
\lim\limits_{x\to \infty}\cfrac{2x^2-1}{3x+1}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}\cfrac{4x}{3}\implies \cfrac{4(\infty)}{3}\implies \infty
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Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st
krok68 [10]

The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

z\cdot \bar z = 2^{2} + 3^{2}

z\cdot \bar z = 13

To learn more on complex numbers: brainly.com/question/10251853

#SPJ1

6 0
2 years ago
Please help me with this explain!!!!!
erik [133]
Given:
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
SA = 2 * 3.14 * 8 yd * 4yd + 2 * 3.14 * (8yd)²
SA = 200.96 yd² + 401.92 yd²
SA = 602.88 yd²
Volume = π r² h
V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³

Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³

SA =
602.88 yd² - 150.72yd² = 452.16 yd²
V =
803.84 yd³ - 100.48 yd³ = 703.36 yd³
7 0
2 years ago
Which expression is equivalent to (5^4)^2<br> A. 25^8<br> B. 20^2<br> C. 5^8<br> D. 5^6
Yuliya22 [10]

Answer:

C. 5^8

to raise a power to another power, multiply the exponents

then multiply thr numbers

then u get 5^8

6 0
3 years ago
Simplify y4 x y3<br><br> A. Y^1<br> B. Y^7<br> C. Y^12<br> D. Y^43
Otrada [13]
The answer is B. Y^7. u have to add the exponent
4 0
3 years ago
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How can you use a formula to find simple interest ?
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The formula of simple intrest is:
p × r × t
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