Write and test a function called pow_of_two(num) that takes a positive integer num as input and returns another integer that is the largest power of 2 and is less than or equal to num. For example, 1, 2, 4, 8, 16, 32.. are numbers that are the powers of 2, but 3, 5, 6, 7, 9, 10.. are not.
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- 1. write a program to display the squares of all even and odd numbers from X to Y . input of X and Y should be provided by user . make use of user defined function approach .Step 5 (c) Find the function value q(-x), if possible. Replace the variable t with -x in the function. step 6 Is the function defined at t=-x ? If it is defined, enter the expression; otherwise, enter UNDEFINED. a(-x)=x=0.9. using c++ Write a function daysInMonth that accepts an integer year, and an integer monthNum and returns the number of days in that month. Note that “30 days past September, April, June, and November”, etc. You need to include the year as you have to determine whether it is a leap year in order to decide whether to add 28 or 29 days for Feburary. MonthNum has a value of 1 to 12 with 1 as January and 12 as December. Note that you probably will need to call your isLeapYear function from a previous exercise to be able to write your daysInMonth function.
- Problem 1 - Write a function that returns the sum of all the integer numbers dividable by 3 that are smaller than a given integer number. EXAMPLE sum3(20) 63(Practice) For the following function headers, determine the number, type, and order (sequence) of values that should be passed to the function when it’s called and the data type of the value the function returns: a. int factorial(int n) b. double volts(int res, double induct, double cap) c. double power(int type, double induct, double cap) d. char flag(char type, float current, float time) e. int total(float amount, float rate) f. float roi(int a, int b, char c, char d, float e, float f) g. void getVal(int item, int iter, char decflag, char delim)(General math) a. The volume, V, of a cylinder is given by this formula: V=r2L r is the cylinder’s radius, and L is its length. Using this formula, write a C++ function named cylvol() that accepts a cylinder’s radius and length and returns its volume. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main() and returns a value to main() correctly. Have main() use a cout statement to display the returned value. Test the function by passing various data to it.
- (Practice) The volume, v, and side surface area, s, of a cylinder are given by these formulas: v=r2ls=2rl r is the cylinder’s radius, and l is its length. Using these formulas, write and test a function named cylinder() that accepts a cylinder’s radius and length and returns its volume and side surface area.(Statics) A beam’s second moment of inertia, also known as its area moment of inertia, is used to determine its resistance to bending and deflection. For a rectangular beam (see Figure 6.6), the second moment of inertia is given by this formula: Ibh3/12 I is the second moment of inertia (m4). b is the base (m). h is the height (m). a. Using this formula, write a function called beamMoment() that accepts two double- precision numbers as parameters (one for the base and one for the height), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 4a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.Write the definition of a function that takes as input two decimal numbers and returns first number to the power of the second number plus second number to the power of the first number. (4)
- Please Solve this Question using C++99 Version of C plus. Problem 1 (Numerical Differentiation) The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time Altitude 0 400 10 20 9200 30 40 45640 50 87370 60 70 80 90 100 160100 62070 97360 103430 127900 149630 23840 a) Use the skeleton program below. Write a function (CENTRAL) to numerically compute the velocity from the table above using the central difference scheme. Use equation (18) in the lecture note (14-Numerical Differentiation.pdf) at t=100 and use the equation below at t = 0. Make sure that you attach example runs showing the results from the computer. f(x)~ 4 f(x+h) -f(x+2h) -3 f(x) 2 h b) In the same program, write two functions (FORWARD and BACKWARD) to compute the velocity using the forward and backward difference scheme. c) Output your results in a table comparing the velocity using the…Answer the following. The correct one in function if the code.Find the error # Display the powers of 2 using anonymous function terms = 10 # Uncomment code below to take input from the user # terms = int(input("How many terms? ")) # use anonymous function result = list((lambda 2 ** x, range(terms))) print("The total terms are:",terms) for i in range(terms): print("2 raised to power",i,"is",)