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4 years ago

Approximate, in square centimeters, the area of a circle with radius=43 cm. (Round your answer to two decimal places.)

Mathematics

1 answer:

antoniya [11.8K]4 years ago

5 0

Answer:

this is my answer for this question

21.5

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Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding/Factoring

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

Step 2: Differentiate

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

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

Unit: Differentiation

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3 years ago

the equatiom for the number of pages he has left to read is y=254-40x, where x is the number of hour he reads

Greeley [361]

X is 65 because 65 is great and should always be the answer

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3 years ago

Can someone please answer this (please don’t send a tinyurl link)

sweet [91]

A. 35% decrease yearly
B. 267.75
C. How much the computer is worth after 4 years

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3 years ago

Please Help! First Answer will get Brainliest!

aksik [14]

< 1 and < 2......adjacent angles...because they have a common side and a comon vertex

< 1 and < 2.....complimentary angles....because when added, they equal 90

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3 years ago

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56 = j + 29 Please answer this because im going to get dead

guapka [62]

59 = j + 29
59-29=j+29-29
30 = j
(or you could rewrite it as j=30)

hope this helps!! :)

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3 years ago

Read 2 more answers