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Show that the sequence (fn) sequence where
fn(x)= x/(1+nx^2), x∈[2,∞] is uniformly convergent in [2,∞]
Using the principle of induction, prove that 64 is a factor of 3^(2n+2)- 8n-9 ∀ n∈N
9.1.Find the force of attraction betweenthenucleus of a hydrogen
atom and an electron. The radius of the hydrogen atom isO.5x10-8cm
and the charge of the nucleus is equal in magnitude and opposite in
sign to that of the electron.
If good X is an input into Good Y and good Y is a substitute for good Z, what can we expect to happen to demand, price, quantity of Good Z if there is a decrease in the price of good X?
Write a program to take in the roll number, name and percentage of marks for n students of
Class X. Write user defined functions to:
1. accept details of the n students (n is the number of students)
2. search details of a particular student on the basis of roll number and display
result
3. display the result of all the students
4. find the topper amongst them
5. find the subject toppers amongst them
(Hint: use Dictionary, where the key can be roll number and the value is an immutable data
type containing name and percentage)
Find the increment and differential of each of the following functions for the given values of the
variables and their increments.
𝑦 tan^-1 𝑥𝑦; 𝑥 = 2, 𝑦 = 0.5, ∆𝑥 = −0.05, ∆𝑦 = 0.01
Find the increment and differential of each of the following functions for the given values of the variables and their increments.
𝑥 ln 𝑦 + 𝑦 ln 𝑥; 𝑥 = 𝑦 = 1, ∆𝑥 = 0.01, ∆𝑦 = 0.02
part 2:
The function should return the number of winners (i.e., the number of participants whose lucky draw number is a multiple of factor-digit and contain the must-have-digit).
Your advised to write a helper function contain_digit(number, digit) that returns True if number contains digit, or False otherwise. Example, function call contain_digit(15, 5) returns True. This function will be called by the find_winners(factor, must_have, n) function to check existence of must_have digit.
Find by use of differentials the approximate total area of a right circular cone whose base radius
and height are 5.03 inches and 11.89 inches, respectively.
part 1: Citizens-of-Zakadaha-hold-an-annual-Gagalafa-festival-to-celebrate-the-harvest-of-their-prized-produce, the-well-sought-after-cocoa-beans-Kokomoko. A-lucky-draw-is-held during-the-festival. Every-participant-is-given-a-lucky draw number. Each year, the organizer decides on two non-zero digits, the factor-digit and the must-have-digit. These two digits need not be distinct. A winning lucky draw number is a number that is a multiple of the factor-digit and contains the must-have-digit. Note that there could be more than one lucky draw winner.
Write function find_winners(factor, must_have, n) that accepts the three parameters:
- The factor-digit (factor), a non-zero digit (1-9).
- The must-have-digit (must_have), a non-zero digit (1-9).
- The number of participants (n) where the lucky draw numbers will be numbered from 1 to n (inclusive).
#339914 on Dec 2023