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3 years ago

6

List three tools and equipment needed for baking

2 answers:

GREYUIT [131]3 years ago

8 0

Mixer, oven, bowls...................

vivado [14]3 years ago

6 0

Answer:

oven, whisk, pan

Step-by-step explanation:

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PLEASE HELP WILL FOLLOW BACK AND RATE Use the table below of the function f(x) = x4 − 4x to answer this question:

inn [45]

The average rate of change is 4

6 0

2 years ago

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F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1

natima [27]

Answer:

The <em>equation</em> of the tangent line is given by the following equation:

$\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)$

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Rule [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:

*Note:

Recall that the definition of the derivative is the <em>slope of the tangent line</em>.

<u>Step 1: Define</u>

<em>Identify given.</em>

<em /> $\displaystylef(x) = e^{-x} \\x = -1$

<u>Step 2: Differentiate</u>

[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
$\displaystyle f'(x) = e^{-x}(-x)'$
[Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
$\displaystyle f'(x) = -e^{-x}(x)'$
[Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
$\displaystyle f'(x) = -e^{-x}$

<u>Step 3: Find Tangent Slope</u>

[Derivative] Substitute in <em>x</em> = 1:
$\displaystyle f'(1) = -e^{-1}$
Rewrite:
$\displaystyle f'(1) = \frac{-1}{e}$

∴ the slope of the tangent line is equal to $\displaystyle \frac{-1}{e}$ .

<u>Step 4: Find Equation</u>

[Function] Substitute in <em>x</em> = 1:
$\displaystyle f(1) = e^{-1}$
Rewrite:
$\displaystyle f(1) = \frac{1}{e}$

∴ our point is equal to $\displaystyle \bigg( 1, \frac{1}{e} \bigg)$ .

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

$\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }$

∴ we have our final answer.

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Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

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

Unit: Differentiation

3 0

2 years ago

What is the answer to <br> x to 50 and 16 to 25<br><br> A.32<br> B.34<br> C.41

GuDViN [60]

Answer:

A.32

Step-by-step explanation:

We can write a proportion to solve this problem

x 16

------- = ----------

50 25

Using cross products

x*25 = 16*50

Divide each side by 25

25x/25 = 16*50/25

x = 16*2

x = 32

8 0

3 years ago

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What is the slope of a line that is perpendicular to the line y = 1? -1,0,1,or undefined are the choices.

nexus9112 [7]

ANSWER

undefined

EXPLANATION

We want to find the slope of a line that is perpendicular to the line y = 1

The line y=1 is parallel to the x-axis.

In other words, the line y=1 is a horizontal line.

The line perpendicular to y=1 is a vertical line.

The slope of a vertical line is undefined

5 0

3 years ago

Please help I don’t understand

Stella [2.4K]

Y = 22

X is 5. Plug 5 into X and solve to get Y

6 0

2 years ago

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