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madam [21]
4 years ago
7

Need help with this one keep getting it wrong

Mathematics
1 answer:
Fittoniya [83]4 years ago
6 0

The correct option is D. In fact, you can evaluate this function at every possible input x.

All this function does is:

  • Take a number x
  • Add 6
  • If the result is negative switch the sign, otherwise keep it as it is

As you can see, you can perform these operations regardless of the input x.

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17 gallons of water are used to completely fill 4 fish tanks. If each tank holds the same amount of water how many gallons will
Kay [80]
Each tank holds 4.25 gallons! 17/4 is 4.25 :) hope this helps!
6 0
3 years ago
If anyone could help that would be great! The topic is calculus, and substitution + integrals. I need help with the ones circled
Alex_Xolod [135]

Answer:

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

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Trig Derivatives

Integration

  • Integrals
  • Definite Integrals
  • Integration Constant C

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

Integration Property [Multiplied Constant]:                                                         \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Trig Integration

Logarithmic Integration

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution.</em>

  1. Set <em>u</em>:                                                                                                             \displaystyle u = 1 + cos(x)
  2. [<em>u</em>] Differentiate [Trig Derivative]:                                                                 \displaystyle du = -sin(x) \ dx
  3. [Bounds of Integration] Change:                                                                 \displaystyle [\frac{1}{2}, 1]

<u>Step 3: Integrate Pt. 2</u>

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx = -\int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{-sin \ x}{1 + cos \ x}} \, dx
  2. [Integral] U-Substitution:                                                                               \displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx = -\int\limits^{1}_{\frac{1}{2}} {\frac{1}{u}} \, du
  3. [Integral] Logarithmic Integration:                                                               \displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx = -(ln|u|) \bigg| \limits^{1}_{\frac{1}{2}}
  4. Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           \displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx = -ln(2)

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

Unit: Integration

Book: College Calculus 10e

8 0
3 years ago
I need help it’s a quiz
belka [17]

Answer:

answer is

Step-by-step explanation:

Ok first you dial 911 and study for the test you un smart kid then dig a whole jump in it and you will be in a fire place after that you spend rest of etrnity there good luck.

5 0
3 years ago
Read 2 more answers
What is the percent decrease from 60 to 39?
xxMikexx [17]
That\ is\ a\ decrease\ of\ \boxed{35}\ percent.
6 0
3 years ago
Read 2 more answers
Who can help me ?<br> With this
Bas_tet [7]
The correct answer is A given,

because it is always the first step to start the proving process.

be strong:)
5 0
3 years ago
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