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Write a program that declares 2 integer arrays x, y of size 10 each. The program then reads values for x and y arrays from the user (use some common values).
Finally the program finds the common values in x and y and prints them. If there is no common values in x and y print βThere is nothing common between array x and yβ.
The second term of an arithmetic progression is four times the fifth term, and the first term is 10. Find the common difference, and hence the sum of the first 12 terms.
Find the derivatives of each of the following functions:
a. π¦ = 5π₯2+7π₯β8
b. π(π₯) = 7/π₯4
c. π¦ = 15/βπ₯
d. π(π₯) = 2π₯7/2βπ₯-1/3
e. π¦ = (4π₯2β7π₯)/π₯
f. π(π₯) = 7π₯3/βπ₯
Are there any values of p such that p2+48 is equal to -14p?
Differentiate with respect to π₯
a. (7π₯ β 4 )3
b. β(6π₯+4)
Find the first 3 terms, in ascending powers of π₯, of the binomial expansion of (2βπ₯)4 and simplify each term.
A grandparent gives a grandchild Β£100 at birth, and promises to increase the gift by Β£5 on each subsequent birthday.
a. Show that the grandchild will receive Β£200 on the 20π‘β birthday.
b. If the child has saved all the money, what is the total amount at age 20?
c. By how much would the gift have to increase each year if the total at age 20 is to be Β£4,200?
Under constant pressure condition, a sample of hydrogen initially at 75 degree celcius and 6.2 L is cooled until its final volume is 5.4 L. What is it final temperature?
a. Expand (π+π)5. Hence find the coefficient of π₯ in the expansion of (4π₯+2/9π₯)5
b. The coefficient of π₯2 in the expansion of (1+π₯)n is 45. Given that π is a positive integer, find the value of π.
A sample of gas has a volume of 85.8 mL at 35 degrees. what volume will the sample occupy at 0 degrees when the pressure is held constant?
