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Luba_88 [7]
3 years ago
13

Plz help will mark brainliest

Mathematics
1 answer:
zimovet [89]3 years ago
5 0

Answer:

goemetric is the answer

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Solve for x.<br><br> 2(4x - 1) + 3(3 - 2x) = 0<br><br> x = -4<br> x = -7/2<br> x = -4/3<br> x = -7/6
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The correct answer: x=-7/2
Hope this help!!!
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How would a bigger down payment be beneficial to borrowers?
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A bigger down payment is money paid toward principal, interest free, which also decreases the amount paid monthly.

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Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^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

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

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

Unit: Differentiation

8 0
3 years ago
Explain how to determine which numbers must be excluded from the domain of a rational expression. Please provide an example with
Katarina [22]

Answer:

  • When we are having a rational expression i.e. a expression of the type:

\dfrac{f(x)}{g(x)}

Where f(x) and g(x) are polynomial functions.

Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.

Hence we have to exclude the points where the given denominator quantity is zero.

  • Let us consider an example as:

  Let R(x) denote the rational function as:

R(x)=\dfrac{x^2}{(x-2)(x-3)}

Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.

We know that (x-2)(x-3) is zero when x=2 or x=3.

Hence, the domain of R(x) is: R- {2,3}.

7 0
3 years ago
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