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Lostsunrise [7]
3 years ago
10

Expanded form for 20484163

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0
20000000
  0000000
    400000
      80000
        4000
          100
            60 
              3

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The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation.
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We can't see a table take a picture of the table so we can understand better
3 0
2 years ago
Evaluate the definite integral from pi/3 to pi/2 of (x+cosx) dx
Vadim26 [7]

Answer:

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + 1 - \frac{\sqrt{3}}{2}

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                 \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Addition/Subtraction]:                                                   \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  2. [Left Integral] Integration Rule [Reverse Power Rule]:                           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  3. [Right Integral] Trigonometric Integration:                                             \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \sin x \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}}
  4. Integration Rule [Fundamental Theorem of Calculus 1]:                         \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{5 \pi ^2}{72} + \bigg( 1 - \frac{\sqrt{3}}{2} \bigg)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0
2 years ago
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Choose the equation of the horizontal line that passes through the point (-2,-1)and has a slope of 5
nignag [31]
Y=mx+b
-1=5(-2)+b
-1=-10+b
9=b
the equation is
y=5x+9
7 0
3 years ago
Which point is on the graph of the equation y = 2x - 5?
notka56 [123]
The answer is 2,-1 i hope this helps you out!
3 0
3 years ago
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Is y=3x+4 a function?
Oxana [17]

Answer:

Yes, it is a function

Step-by-step explanation:

Every possible input x value is paired with a unique output y value.

Another approach is to graph the function then conduct the VLT (vertical line test) at which point you will realize that any vertical line will intersect the graph at one point only meaning it is a function.

Hope this helps.

5 0
1 year ago
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