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liberstina [14]
3 years ago
7

Use the slope formula to determine the equation of the line (2,.75) and (4,.25)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

y=-0.25x+1.25

Step-by-step explanation:

hope this helps u

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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
Cheryl can travel 21.6 miles on one gallon of gas. how far can cheryl travel on 6.2 gallons of gas?
boyakko [2]
21.6 miles per gallon

Multiplied by 6.2 gallons 

21.6 * 6.2 = 133.92

Cheryl can travel 133.92 (or about 134) miles on 6.2 gal. of gas.

Hope that helped!
6 0
3 years ago
Solve B+B=2 B+C=5 B+C*2=
Illusion [34]

B+B=2

assuming that B is 1 I will say that 4 is C.

4+1*2= 10 is your answer.

7 0
3 years ago
Read 2 more answers
Rep viuen
Keith_Richards [23]

Answer:

8 and -4

Step-by-step explanation:

8*-4=-32

8+(-4)=4

7 0
2 years ago
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
slega [8]

Answer:

5740

Step-by-step explanation:

7 0
3 years ago
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