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Taya2010 [7]
3 years ago
12

Can someone help??????????????????????????????

Mathematics
2 answers:
labwork [276]3 years ago
6 0

Answer:

The answer is 3

meriva3 years ago
3 0
The third answer is correct
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If the gradient of the tangent to
Marizza181 [45]

Answer:

Point A(9, 3)

General Formulas and Concepts:

<u>Pre-Algebra</u>  

Order of Operations: BPEMDAS  

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties  

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>  

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Anything to the 0th power is 1
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}
  • Exponential Rule [Root Rewrite]:                                                                     \displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}  

<u>Calculus</u>  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

  • f(x) = cxⁿ
  • 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>

<em />\displaystyle y = \sqrt{x}<em />

<em />\displaystyle y' = \frac{1}{6}<em />

<em />

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Root Rewrite]:                                   \displaystyle y = x^{\frac{1}{2}}
  2. Basic Power Rule:                                                                                             \displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}
  3. Simplify:                                                                                                             \displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}
  4. [Derivative] Rewrite [Exponential Rule - Rewrite]:                                          \displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}
  5. [Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 \displaystyle y' = \frac{1}{2\sqrt{x}}

<u>Step 3: Solve</u>

<em>Find coordinates of A.</em>

<em />

<em>x-coordinate</em>

  1. Substitute in <em>y'</em> [Derivative]:                                                                             \displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}
  2. [Multiplication Property of Equality] Multiply 2 on both sides:                      \displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}
  3. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle \sqrt{x} = 3
  4. [Equality Property] Square both sides:                                                           \displaystyle x = 9

<em>y-coordinate</em>

  1. Substitute in <em>x</em> [Function]:                                                                                \displaystyle y = \sqrt{9}
  2. [√Radical] Evaluate:                                                                                         \displaystyle y = 3

∴ Coordinates of A is (9, 3).

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

Unit: Derivatives

Book: College Calculus 10e

7 0
3 years ago
Determine if the expression 3c^5+7c^-1-c is a polynomial or not. If it is a polynomial, state the type and degree of the polynom
ludmilkaskok [199]

Answer: It's not a polynomial

It's not a polynomial because the exponent of -1 in the second term. The exponents for any polynomial must be nonnegative whole numbers {0,1,2,3,...}

3 0
3 years ago
Mrs.Leitz spent $8.75 on new folders, f, for the 25 students in her class. Which equation shows how to find the cost of each fol
mrs_skeptik [129]

Answer:

each folder costed 0.35

Step-by-step explanation:

8.75 divided by 25 would have given you the answer

8 0
3 years ago
if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spe
velikii [3]

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

5 0
3 years ago
Read 2 more answers
The entire graph of the function f is shown in the figure below.
postnew [5]

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

6 0
3 years ago
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