(use R language)Scatter plot(a). Run the R code example, and look at the help file for plot() function. Try different values for arguments:type, pch, lty, lwd, col(b). Use par(mfrow=c(3,2)) and output 6 plots with different argument settings.

(Hypotenuse) Define a function hypotenuse that calculates the length of the hypotenuse of a right triangle when the other two sides are given. Use this function in a program to determine the length of the hypotenuse for each of the triangles shown below. The function should take two double arguments and return the hypotenuse as a double. Sample output Enter 2 sides of right triangle: 3.0 4.0 Hypotenuse: 5.0 Enter 2 sides of right triangle: 5.0 12.0 Hypotenuse: 13.0 Enter 2 sides of right triangle: 8.0 15.0 Hypotenuse: 17.0

What does function sqrt do? Which header file must be included to use the function sqrt? (3)

(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.