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iogann1982 [59]
3 years ago
15

What is the product of 5,330,000 and 0.22 x 10^-10?

Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:0.00011726

Step-by-step explanation:

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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:

  1. f(x) = cxⁿ
  2. 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>

  1. [Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]:         \displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.
  2. Substitute in variables [Arc Length Formula - Parametric]:                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx
  3. [Integrand] Simplify:                                                                                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx
  4. [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
200 children attended the school play. Of the total attendance, 40% were boys. How many
vesna_86 [32]

Answer:

120

Step-by-step explanation:Do you hundred times 40% equals 80. 200-80 = 120 which is the number of girls that attended.

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PLEASE HELP FAST!! Use a graphing calculator to graph the function y=90tan2x on the interval 0 degrees&lt; x &lt; 180 degrees an
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Roberto makes 35% of the shots he attempts in basketball. How many shots does he make if he attempts 20 shots?​
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Step-by-step explanation:

35% is 0.35 as a decimal. Multiply the decimal by the total amount of attempted shots.

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Roberto makes 7 shots.

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