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blondinia [14]
3 years ago
12

PLEASEEE HELP 25 points

Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.

Step-by-step explanation:

i hope this helps :)

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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
2 years ago
What is the total area? Use 3 for Pi.<br> answer fast pls!!! &lt;3
Kisachek [45]

Answer:

total area = 217 m³

Step-by-step explanation:

area of the triangle

= 14 × 10

= 140 m²

area of a semicircle

= 1/2 × 22/7 × 7 × 7

= 77 m²

total area

= 140 + 77

= 217 m³

7 0
3 years ago
Why is 20 to 40 is a 100% increase but 40 to 20 is a 50% decrease
murzikaleks [220]
Its because 20 is doubling its self. Its using 100% of its number, While 40 is decreasing by 50%. Half of forty is 20. Half equals 50%.
6 0
3 years ago
Read 2 more answers
18) -32.-132, -232, -332, ..<br> Find a
Valentin [98]

Answer:

Step-by-step explanation:

next term is -432

5 0
2 years ago
For the equation y=5x+4, determine the value of y when x=2​
fiasKO [112]

Answer:

y = 14

Step-by-step explanation:

y = 5x + 4

When x = 2:

y = 5 \times 2 + 4

y = 14

That's it. :)

8 0
1 year ago
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