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blondinia [14]
3 years ago
15

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:

<u>Algebra II</u>

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

<u>Calculus</u>

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />f(x)=e^{3lnx}<u />

<u />

<u>Step 2: Rewrite</u>

<u />f(x) = x^3<u />

<u />

<u>Step 3: Take Derivative</u>

  1. Basic Power Rule:                    f'(x) = 3x³⁻¹
  2. 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.

7 0
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

7 0
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.

8 0
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

Read more about residuals at:

brainly.com/question/7467603

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8 0
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