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3 years ago

Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

If you raise e to the natural log, they cancel out and vice versa

Calculus

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$f(x)=e^{3lnx}$

Step 2: Rewrite

$f(x) = x^3$

Step 3: Take Derivative

Basic Power Rule: f'(x) = 3x³⁻¹
Simplify: f'(x) = 3x²

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While starting salaries have fallen for college graduates in many of the top hiring fields, there is some good news for business

andriy [413]

Answer:

Step-by-step explanation:

According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,

z = (x - µ)/(σ/√n)

a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)

From the information given

µ = 50402

σ = 6000

z = (52000 - 50402)/(6000/√100) = 2.66

Looking at the normal distribution table, the probability corresponding to the z score is 0.9961

b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)

From the information given

µ = 49703

σ = 10000

z = (52000 - 49703)/(10000/√100) = 2.3

Looking at the normal distribution table, the probability corresponding to the z score is 0.9893

c) The probabilities of either jobs paying that amount is high and very close.

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4 years ago

A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries

Fynjy0 [20]

Hope this helps you

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3 years ago

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 +

sashaice [31]

Answer:

Lower limit of the sum: 0

Upper limit of the sum: 17

Explicit formula: ∑ $_{i=0} ^{17}$ (3+7i)

Step-by-step explanation:

Noting that each row has 7 more beads than the previous one and that the series also begins with 3, the formula is:

∑ $_{i=0} ^{17}$ (3+7i)

The lower limit is 0, since 3+ (7 * 0) = 3

When i = 0 you get the value of beads from the first row, when i = 1 you get the value of beads from the second row and so on. Given this, the upper limit is 17.

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3 years ago

4x+10=x+20 whaT WOULD BE THE ANSWER

Morgarella [4.7K]

Answer: that is impossible

Step-by-step explanation:

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3 years ago

if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hund

Ipatiy [6.2K]

The residual value will be equal to -1.

<h3>What is residual value?</h3>

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1