MATHEMATICS HIGH SCHOOL

What is the derivative of e^(2x)

Answers

Answer 1

Answer:

Answer:

$\displaystyle (d)/(dx)[e^\big{2x}] = 2e^\big{2x}$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

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

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = e^\big{2x}$

Step 2: Differentiate

Exponential Differentiation [Derivative Rule - Chain Rule]: $\displaystyle (d)/(dx) = e^\big{2x} \cdot (d)/(dx)[2x]$
Basic Power Rule [Derivative Property - Multiplied Constant]: $\displaystyle (d)/(dx) = e^\big{2x} \cdot 2$
Simplify: $\displaystyle (d)/(dx) = 2e^\big{2x}$

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

Unit: Differentiation

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Solve the equation by completing the square x^2 - 7x - 4 = 0 A. 7.53, -0.53 B. -7.53, -0.53 C. -7.53, 0.53 D. 7.53, 0.53

I am looking for the square root of 5184 Thanks.

Answers

$5184|2\n2592|2\n1296|2\n.648|2\n.324|2\n.162|2\n.\ \ 81|3\n.\ \ 27|3\n.\ \ \ \ 9|3\n.\ \ \ \ 3|3\n.\ \ \ \ 1|\n\n5184=2^6*3^4\n\n√(5184)=√(2^6*3^4)=√(2^6)*√(3^4)=2^3*3^2=8*9=72$

$5184\ |\ \ :2\n2592\ |\ \ :2\n1296\ |\ \ :2\n648\ \ |\ \ :2\n324\ \ |\ \ :2\n162\ \ |\ \ :2\n81\n\n5184=2^6\cdot81=(2^3)^2\cdot9^2=8^2\cdot9^2=(8\cdot9)^2=72^2\n\n √(5184) = √(72^2) =72\n\nAns.\ 72$

What is the answer to this?

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I got / 33/4. If I’m wrong sorry

PLEASE HELP PICTURE SHOWN

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i think the answer is D.

F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _ the range for the function that represents the amount of money that is in the college fund is _

Answers

Answer:

1.) Domain X = all positive real numbers

2.) Range: F(x) > = 5450

Step-by-step explanation:

Given that

F(x) = 5,450(1.024)^x

Where the domain is the independent variable X and the range is the dependent variable Y or F(x)

Since the domain for the function represents the amount of time the money will be in the college fund, time cannot be negative, it will always be positive.

Therefore, domain x will be all positive real numbers.

The least domain x = 0

Substituting domain into the equation will give us a range of value:

F(x) = 5450 × ( 1.024 )^0

F(x) = 5450 × 1

F(x) = 5450

That is, the least value of range = 5450

Therefore, Range will be F(x) greater than or equal to 5450.

F(x) > = 5450

Graph f(x)=3/2x+2. Use the line tool and select two points to graph the line.

Answers

The points are (-1.333, 0) and (0, 2).

What is equation of line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.

An equation of a line is an algebraic expression that represents the several points that together make up a line in the coordinate axis as a set of variables, x, and y.

The given term is,

f(x) = 3/2x+2,

Substitute f(x) = y

y=3/2x+2 (1)

Since, the standard form of equation of line is y=mx+c

compare equation (1) which standard equation of line,

m=3/2, and c=2

On the graph of the line the points are, (-1.333, 0) and (0, 2).

To know more about Equation of line on:

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consider a job that pays $100,000 per year federal income taxes 19% and state income tax is 7% what is the annual total of the required deductions of federal and state income tax

Answers

Answer:

$26,000.

Step-by-step explanation:

We have been given that a job that pays $100,000 per year federal income taxes 19% and state income tax is 7%.

The annual total of the required deductions of federal and state income tax would be $19\%+7\%=26\%$ .

To find the total amount, we will find 26% of $100,000.

$(26)/(100)* \$100,000$

$26* \$1000$

$\$26,000$

Therefore, the annual total of the required deductions of federal and state income tax is $26,000.

first multiply 100,000 and 19% equaling 19,000

Then multiply 100,00 and 7% equaling 7,000

Lastly add 7,000 and 19,00 together to get your answer

Answer: 26,000

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