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attashe74 [19]
1 year ago
11

5.3 Q4

Mathematics
1 answer:
barxatty [35]1 year ago
8 0

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

<h3>What is the derivative of the function g(x) by virtue of the Fundamental theorem of calculus as given in the task content?</h3>

g(x) = Integral; √2 ln(t) dt (with the upper and lower limits e^x and 1 respectively).

Since, it follows from the Fundamental theorem of calculus that given an integral where;

Now, g(x) = Integral f(t) dt with limits a and x, it follows that the differential of g(x);

g'(x) = f(x).

Consequently, the function g'(x) which is to be evaluated in this scenario can be determined as:

g'(x) = \int\limits^{e^x}_1 2 ln(t) dt = 1

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

Read more on fundamental theorem of calculus;

brainly.com/question/14350153

#SPJ1

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The distance between the two planes will be 800 miles.

It should be noted that the total speed of the two planes will be the sum of their individual speeds. Also, the planes have 1 hour to meet each other.

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Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
nasty-shy [4]

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

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location of W = -16 - 7 = - 23

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5 0
3 years ago
If their food and beverages costs$25.30 and there is an 8% meals tax, how much is the bill
Mashutka [201]
Hey there Unrazed90,

Answer : 

100% = $25.30
1% = $25.30 / 100
      = $0.253
8% = $0.253 x 8 
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Total = $25.30 + $2.024
         = $27.324
         = $27

Hope this helps :D

<em>~Natasha ♥</em>
8 0
3 years ago
Find the area of a triangle with sides of length 6 and 7 and included angle 74°. (round your answer to one decimal place.)
Yanka [14]
We use this formula:
<span>Area = ½ • side 1 • sine (A) • side 2
</span>Area = <span>½ • 6 • sine (74) • 7
</span><span>Area = <span>21 • sine (74)
Area = 21*0.96126
Area = </span></span><span><span><span>20.18646 </span> </span> </span>
Area = 20.2 (rounded)
Source:
http://www.1728.org/triang.htm


5 0
3 years ago
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