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3 years ago

Which graph represents the function g(x) = 7cosx after a shift of StartFraction 5 pi Over 3 EndFraction units to the right?

Mathematics

2 answers:

pychu [463]3 years ago

3 0

Answer:

It's B, the second graph

Step-by-step explanation:

I just did the quiz

vitfil [10]3 years ago

3 0

Answer:

The second attached graph

Step-by-step explanation:

For your question, Which graph represents the function g(x) = 7cosx after a shift of StartFraction 5 pi Over 3 EndFraction units to the right? The best answer is the second attached graph.

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Answer:

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Step-by-step explanation:

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2 years ago

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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3 years ago