What is the value of x in trigonometric substitution with an integrand involving (a2 - x2)?

What is the value of x in trigonometric substitution with an integrand involving (a² - x²)?

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Multiple Choice Questions (MCQ) uploaded before May 2024

Find the value of x if $x = \dfrac{1 + \tan^2 \phi}{\tan \phi \, \csc^2 \phi}$.
If 8 men can cut 22 trees in a day, how many trees can 20 men cut in a day?
A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction.
Find the perimeter of the ellipse with major-axis = 10 and minor-axis = 8.
There are four red, three green, and five blue discs in a bag. Find the probability that two discs of the same color are drawn.
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Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
A truck with axle loads of 40 kN and 60 kN on a wheel base of 5 m rolls across a 10-m span. Compute the maximum bending moment in kN m.
lXCn0Dq-1 What is the bearing of side BC?
dYv94eu-3 The temperature when the volume is 2.625 liters.
A store has three kinds of toys given in every purchase. What is the probability of getting all three toys in five purchases?
If a pair of dice is tossed 6 times, what is the probability of obtaining a total of 7 or 11 twice, a matching pair once, and any other combination 3 times?
A man and a boy can do in 15 days a piece of work which could be done by 7 men and 9 boys in 2 days.
A commuter drives from Mandaue to Bogo 120 km away at an average speed of 60 kph and returned to Mandaue at an average speed of 40 kph. What was the average speed of the commuter for the whole journey?

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