2. Write a program that reads an integer value n from the keyboard and then sums the integers between 0 and n. Your program should be able to handle both positive and negative values of n and should write the sum to the output file sumitout.txt. Note that your sum should not actually include 0, since that does not affect the sum. Your program should open the file sumitout.txt for appending so that the file can record a series of runs. Here is a sample run: Enter n: -4 The sum of integers from -1 to -4 is -10 For marking purposes run your program twice with values n = -10 and n = 5.

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Could you plz solve the question using c programming, using #include as a library And include printf and scanf.
1. Write a program to approximate the derivatives of eª, cos(r) and sin(r) at z = 0) using the
limits
de
dr
12-0
eh - 1
= lim
h→0 h
d cos(z)
2=0
lim
h→0
0.500000 1.297443 -0.244835 0.958851
0.250000 1.136102 -0.124350 0.989616
0.125000 1.065188 -0.062419 0.997398
0.062500 1.031911 -0.031240 0.999349
cos(h) - 1
d sin(x)
r=0
Here is a sample run:
Enter n: -4
The sum of integers from -1 to -1 is -10
+
sin(h)
Your program should use values of h = 1/2, 1/4, 1/8...,1/2″, where ʼn is read from the key-
board, as shown here:
Enter n for h = 1/2 down to 1/2^n: 10
h-0 h
Your program output should be written to the file derivativeout.txt and should look like:
h
Dexp (x)
Dcos (x)
Dsin(x)
For marking purposes run your program with n = 20.
2. Write a program that reads an integer value n from the keyboard and then sums the integers
between 0 and n. Your program should be able to handle both positive and negative values
of n and should write the sum to the output file sumitout.txt. Note that your sum should
not actually include 0, since that does not affect the sum. Your program should open the file
sumitout.txt for appending so that the file can record a series of runs.
For marking purposes run your program twice with values n − −10 and n =
5.
Transcribed Image Text:1. Write a program to approximate the derivatives of eª, cos(r) and sin(r) at z = 0) using the limits de dr 12-0 eh - 1 = lim h→0 h d cos(z) 2=0 lim h→0 0.500000 1.297443 -0.244835 0.958851 0.250000 1.136102 -0.124350 0.989616 0.125000 1.065188 -0.062419 0.997398 0.062500 1.031911 -0.031240 0.999349 cos(h) - 1 d sin(x) r=0 Here is a sample run: Enter n: -4 The sum of integers from -1 to -1 is -10 + sin(h) Your program should use values of h = 1/2, 1/4, 1/8...,1/2″, where ʼn is read from the key- board, as shown here: Enter n for h = 1/2 down to 1/2^n: 10 h-0 h Your program output should be written to the file derivativeout.txt and should look like: h Dexp (x) Dcos (x) Dsin(x) For marking purposes run your program with n = 20. 2. Write a program that reads an integer value n from the keyboard and then sums the integers between 0 and n. Your program should be able to handle both positive and negative values of n and should write the sum to the output file sumitout.txt. Note that your sum should not actually include 0, since that does not affect the sum. Your program should open the file sumitout.txt for appending so that the file can record a series of runs. For marking purposes run your program twice with values n − −10 and n = 5.
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