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antiseptic1488 [7]
2 years ago
15

How to find the derivative of an integral with bounds.

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
3 0

Answer:

The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.

Step-by-step explanation:

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Weekly math review-Q1.6 what is all the factors of 32
ololo11 [35]
All the factors of 32 include: 1,2,4,8,16,32
Hope this helps! (:
8 0
3 years ago
A rectangular prism is shown below. Find the volume. 1.3 ft 1.5 ft 2.3 ft 23 “ Your answer can be exact or rounded to the neares
Helen [10]

Answer:

4.485 ( rounded = 4.5)

Step-by-step explanation:

1.3 x 1.5 x 2.3 = 4.485

8 0
3 years ago
AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

6 0
3 years ago
What is the smallest positive integer that Anastasia could have thought of?
Dima020 [189]

Answer:

1

Step-by-step explanation:

an integer is a natural counting number, such as 1...2...3...4... and so on....

zero is not considered an integer because it is a neutral number.

therefore, the smallest possible positive integer would have to be 1!

i hope this helped you!

stay safe!

:)

3 0
3 years ago
The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference
Eddi Din [679]

Answer:

425

Step-by-step explanation:

8 0
3 years ago
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