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3 years ago

6

Graphing a Function look in PDF below to answer questions. Will report you and everything you have if you put a fake answer, I d

on't like doing that but, I don't want people to scam me. I need my answers checked and if I got any wrong please explain it to me. Will give brainliest to whoever gets all of the questions right and explains properly.
Please do not answer if you have no intent on helping me. Thanks for all the help!
These are the answers I got
1. B
2.A
3.B
4.C
5.D

1 answer:

docker41 [41]3 years ago

5 0

Y = -4x + 3 y = -4(1) + 3 ... plug in x = 1 (ie replace x with 1) y = ??? so if x = 1, then y is y = -1 <span>therefore, one row should be 1 -1</span>

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Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometric

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Answer:

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The area is the function of the two dimensions.

If each dimension has changed by 10 times, the the area will change by:

10*10 = 100 times

Correct choice is C

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Angelina ran 2 miles in 15 minutes. At that rate, how far will she run in 1 hour?

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1 hour = 60 minutes
60 minutes / 15 minutes = 4
2x4= 8 miles

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What is the solution to the following equation? 5(2x − 14) + 23 = 7x − 14

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X=11

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Help with num 1 please.

KengaRu [80]

Answer:

(i) $\displaystyle y' = (6x - 1)ln(2x + 1) + \frac{2x(3x - 1)}{2x + 1}$

(ii) $\displaystyle y' = \frac{2x}{ln(x)} - \frac{x^2 + 2}{x(lnx)^2}$

(iii) $\displaystyle y' = \frac{e^x[xln(2x) + 1]}{x}$

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

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

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

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

Exponential Differentiation

Logarithmic Differentiation

Step-by-step explanation:

(i)

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle y = (3x^2 - x)ln(2x + 1)$

<u>Step 2: Differentiate</u>

Product Rule: $\displaystyle y' = (3x^2 - x)'ln(2x + 1) + (3x^2 - x)[ln(2x + 1)]'$
Basic Power Rule/Logarithmic Differentiation [Chain Rule]: $\displaystyle y' = (6x - 1)ln(2x + 1) + (3x^2 - x)\frac{1}{2x + 1}(2x + 1)'$
Basic Power Rule: $\displaystyle y' = (6x - 1)ln(2x + 1) + (3x^2 - x)\frac{2}{2x + 1}$
Simplify [Factor]: $\displaystyle y' = (6x - 1)ln(2x + 1) + \frac{2x(3x - 1)}{2x + 1}$

(ii)

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle y = \frac{x^2 + 2}{lnx}$

<u>Step 2: Differentiate</u>

Quotient Rule: $\displaystyle y' = \frac{(x^2 + 2)'lnx - (x^2 + 2)(lnx)'}{(lnx)^2}$
Basic Power Rule/Logarithmic Differentiation: $\displaystyle y' = \frac{2xlnx - (x^2 + 2)\frac{1}{x}}{(lnx)^2}$
Rewrite: $\displaystyle y' = \frac{2xlnx}{(lnx)^2} - \frac{(x^2 + 2)\frac{1}{x}}{(lnx)^2}$
Simplify: $\displaystyle y' = \frac{2x}{ln(x)} - \frac{x^2 + 2}{x(lnx)^2}$

(iii)

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle y = e^xln(2x)$

<u>Step 2: Differentiate</u>

Product Rule: $\displaystyle y' = (e^x)'ln(2x) + e^x[ln(2x)]'$
Exponential Differentiation/Logarithmic Differentiation [Chain Rule]: $\displaystyle y' = e^xln(2x) + e^x(\frac{1}{2x})(2x)'$
Basic Power Rule: $\displaystyle y' = e^xln(2x) + e^x(\frac{1}{2x})2$
Simplify: $\displaystyle y' = e^xln(2x) + \frac{e^x}{x}$
Rewrite: $\displaystyle y' = \frac{xe^xln(2x) + e^x}{x}$
Factor: $\displaystyle y' = \frac{e^x[xln(2x) + 1]}{x}$

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

Unit: Differentiation

Book: College Calculus 10e

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The longest side of a triangle is 10 cm. Which group of line segments could form the other 2 sides of the triangle? Select three

Ede4ka [16]

Answer:

5 and 5 cm, 4 and 4cm, and 6 and 6 cm

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