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3 years ago

Find f’(x) for f(x) = In(x^4 + e^2x)

Mathematics

1 answer:

zhuklara [117]3 years ago

7 0

Answer:

f ' ( x ) = 4 x ^3 e^x+x^4e^x and f''(x)=x^4e^x+8x^3e^x+12x^2e^x

Step-by-step explanation:

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(SAT Prep) Find the value of x. Whoever answers first gets brainliest!

aleksandr82 [10.1K]

I believe it's 30°

Sorry if wrong

3 0

3 years ago

Read 2 more answers

Use The Alternate Interior Angles Theorem diagram to answer the question. Give the missing reason in this proof for the letter g

Serjik [45]

The missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:

a. Corresponding angles

b. Vertical Angles, and

c. Alternate interior angles

Two angles lying opposite each other along a transversal, and are within the two lines crossed by the transversal are referred to as alternate interior angles.

According to the Alternate Interior Angles Theorem, the two alternate interior angles are congruent to each other.

Let's state out our proof using the image given:

Statement 1: line l is parallel to line m

Reason: Given

Statement 2: $\angle 2 \cong \angle 6$

Reason: Corresponding Angles (both angles occupy the same corner, hence they correspond to each other. Corresponding angles have the same measure).

Statement 3: $\angle 4 \cong \angle 2$

Reason: Vertical angles (both angles are directly opposite each other as they share the same point, which makes them vertical angles. Vertical angles have equal measure).

Statement 4: $\angle 6\cong \angle 4$

Reason: Alternate Interior Angles (applying the transitive property which says if a = b, and b = c, then a = c, therefore, since $\angle 2 \cong \angle 6, $ and $ \angle 4 \cong \angle 2, $ then $ \angle 6 \cong \angle 4$ )

In conclusion, the missing reasons in the proof using the Alternate Interior Angles Theorem diagram that is given are:

a. Corresponding angles

b. Vertical Angles, and

c. Alternate interior angles

Learn more here:

brainly.com/question/18898800

4 0

2 years ago

A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project

sweet-ann [11.9K]

Answer:

$\text{Domain of x}=[1,\infty), x \in Z^+$

Step-by-step explanation:

Given the function: $f(x)=\dfrac{280}{x},$ where:$

f(x) =number of days it would take to complete the project

x =number of full-time workers.

$\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days$

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

$\text{Domain of x}=[1,\infty), x \in Z^+$

7 0

3 years ago

Simplify the following expression: 7(2x+ 6y)

Elza [17]

Answer:

7(2x+ 6y) = 14x + 42y

Step-by-step explanation:

give brainllest plz

7 0

3 years ago

The ratio of dogs to cats is 2 to 3. There are 15 pets total. How many dogs are there? How many cats are there?

ElenaW [278]

So there are 2 dogs to every 3 cats (put into words)

in order to reach 15 total multiply both 2 and 3 by 3

2x3 = 6
3x3 = 9

so there are 6 dogs and 9 cats

6 0

3 years ago