Apply l'Hopital's rule:

where
![\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cint_%5Cpi%5Ex%281%2B%5Ctan%28t%29%29%5C%2C%5Cmathrm%20dt%5Cright%5D%3D1%2B%5Ctan%28x%29)
follows from the fundamental theorem of calculus.
a. 7/ 8
b. 7/ 3
c. 50 / 24
d. 29/ 6
<h3>What is a fraction?</h3>
A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.
Simple fractions are made up of both are integers.
Complex fractions has a fraction in the numerator or denominator
Proper fractions, have the numerator less than the denominator.
a. 31/ 2÷ 4
7/ 2 ÷ 4
Take inverse of the second number and multiply
7/ 2 × 1/ 4
Multiply through
7/ 8
b. 3 2/ 3 ÷ 1 4/7
11/ 3 ÷ 11/ 7
Take inverse of the second number and multiply
11/ 3 × 7/ 11
Multiply through
7/ 3
c. 1/ 2 + 3/ 4 + 5/ 6
Find the LCM
12 + 18 + 20/ 24
We the have;
50 / 24
d. 11/ 2 - 2/ 3
Find the LCM
33 - 4/6
29/ 6
Thus, the answers are in improper fractions and can also be written in mixed fractions.
Learn more about fractions here:
brainly.com/question/1622425
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I think it may be that the train is going too fast zoom km 1600 km at the end
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =

- Area of a triangle =

- Area of a triangle =

- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer:
one
Step-by-step explanation: