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3 years ago

6

X= solve the following x^2-2x-24=0 x^2-11x+18=0

1 answer:

BigorU [14]3 years ago

6 0

The first picture shows solution for a. For b). X=9,2

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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:

<u>Calculus</u>

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:

<u>Step 1: Define</u>

<em>Identify</em>

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

Interval [0, π]

<u>Step 2: Find Arc Length</u>

[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

4 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

expeople1 [14]

Answer:

Step-by-step explanation:

2nd one

6 0

3 years ago

Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m

AysviL [449]

Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

The amount earned by Marcus = $54000

Social security tax = 6.2% = 6.2/100 = 0.062

Social security tax amount = 54000*0.062

Social security tax amount = $3348

Medicare tax = 1.45% = 1.45/100 = 0.0145

Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0

2 years ago

Read 2 more answers

Solve for a = ____.<br><br> 1. 6<br> 2. 4<br> 3. 9

garik1379 [7]

The answer is 3, or 9

8 0

2 years ago

PLS HELP!!!!! I WILL GIVE BRAINLEST JUST PLS HELP!!!

steposvetlana [31]

Answer:

Step-by-step explanation:

Mckcifjfjf

5 0

2 years ago