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3 years ago

How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?

Mathematics

2 answers:

pantera1 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

!=1

AysviL [449]3 years ago

3 0

Answer:

6 pegs can be cut.

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Allisa [31]

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2 years ago

The coefficient of first term of a polynomial written in standard (descending order) form is called the ____ coefficient ?

Black_prince [1.1K]

We know that

1) The degree of a polynomial is the highest degree of its terms
2) The leading term in a polynomial is the highest degree term
3) The leading coefficient of a polynomial is the coefficient of the leading term
Therefore

The coefficient of first term of a polynomial written in standard (descending order) form is the coefficient of the leading term, thus is called the leading coefficient.

the answer is
The leading coefficient

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The maximum height reached by the barnacle is _______ m.

Oksanka [162]

Answer:

Step-by-step explanation:

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2 years ago

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What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

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2 years ago