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Using the definition of limit at infinity or infinite limits, prove that
a) lim𝑥 → 3 1/ (𝑥 − 3) 2 = ∞
Using Intermediate Value Theorem, show that
x2 = √𝑥 + 1 has a root in (1,2)
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds.What is his acceleration?Is this acceleration higher than that of a car which accelerates from 0 to 30 m/s in 8 seconds ?
Write a c++ program that takes a number and a limit and prints multiples of a number upto the limit.
Which of the following shows the increasing boiling points of halogens?
A. F2<I2<Br2<Cl2
B. I2<Cl2<Br2<F2
C.Cl2<Br2<I2<F2
D. F2<Cl2<Br2<I2
Memory constrained embedded systems, IoT devices cannot have liberty to use lots of
memory. You are tasked to store the result of a NUCES-FAST student in one single variable. This can
be done using all bits of that variable in an efficient way. Write a program which prompts user to enter
the following student data and convert all this information to store in a single variable (see sample run).
Use bitwise AND, OR and SHIFT operators. Also use if-else where needed.
Declare an array arr1 of length 10.
• Input the values from user.
• Pass that array to a function sorting.
• Your function should take a pointer as an argument.
• Sort the values of the array in ascending order in sorting.
A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 g's.
a. Calculate the force on a 68-kg person accelerating at this rate.
b. What distance is traveled in meters if brought to rest at this rate from 95 km/h?
Declare a float array of length 15 fArray.
. Input the values of fArray from user.
• Display the values of odd indexes using pointer arithmetic only.
Suppose the mass of a fully-loaded module in which astronauts take off from the Moon is 20,000 kg. The thrust of its engines is 70,000 N. The acceleration due to gravity on the moon is 1.51 m/s2.
Calculate the magnitude of acceleration in a vertical takeoff from the Moon.
