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3 years ago

What is the length of stack J M with bar on top space in the rectangular prism? Round your answer to the nearest tenth.

Mathematics

1 answer:

musickatia [10]3 years ago

8 0

Volume of the rectangular prism = l * w * h
Diagonal = √l² + w² + h²
= √ 16² + 12² + 8²
= √464
= 21.5

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Ivahew [28]

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3 years ago

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Anna71 [15]

Answer:

$\displaystyle J'(3) = -1$

General Formulas and Concepts:

Algebra I

Functions
Function Notation

Calculus

Derivatives

Derivative Notation

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

Derivative: $\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'$

Step-by-step explanation:

Step 1: Define

Identify

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

Step 2: Differentiate

eˣ Derivative [Derivative Rule - Chain Rule]: $\displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)]$
Simplify: $\displaystyle J'(x) = f'(x)e^{f(x)}$

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Substitute in x [Derivative]: $\displaystyle J'(3) = f'(3)e^{f(3)}$
Substitute in function values: $\displaystyle J'(3) = -e^{0}$
Simplify: $\displaystyle J'(3) = -1$

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

Unit: Derivatives

Book: College Calculus 10e

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3 years ago

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Mars2501 [29]

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3 years ago

52.5% of what is 25.83

DerKrebs [107]

We can write an equation to represent this problem:
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Divide by .525
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