areight = 0.28 (n)(r²)(h) ris the radius (in inches). h is the height (in inches) of the cylinder.

Q.1: Given the definite integral 4 y = f(x) = dx 1 a. Use MATLAB's symbolic int function to obtain the value of this integral b. Obtain the value of this integral with the q = quad('f(x)', a, b) function %3D c. Obtain the value of this integral with the q = quad('f(x)', a, b, tol) function where tol = 10-9 %3D

Youtave to ereate aprogram in Clanguage in which the userenters the mass tand length L of a symmetric rod and the program should display the moment of inertia of the rod about an axis perpendicular to the rod and pass through the center of the rod.

Write a program which takes two float numbers from the user and check, if first number is greater than the second number if the first number is greater add 5 in the first number and print the result., otherwise add 10 to second number and print the result.

You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been known for nearly 2000 years. It is called "Heron's Formula". Heron's formula uses the following two steps to calculate the area of a triangle. Step 1: Calculate "s" (half of the triangles perimeter): S= Step 2: Calculate Area: A = √s(sa)(sb)(sc) By using Heron's formula, write the definition of the function area_of_triangle so that it can work in conjunction with the following source code. #include #include int main (void) { double a, b, c, area; printf("Enter the sides of triangle\n"); scanf("%lf%lf%lf", &a, &b, &c); a+b+c 2 area = area_of_triangle (a, b, c); printf ("Area of triangle = %.21f\n", area); return 0; } You can use sqrt() from math.h header file. Its prototype is: double sqrt (double x); A sample run of this program is shown in the following figure. Enter the sides of triangle 4.0 5.0 6.0 Area of triangle = 9.92

write a program is to calculate and display the volume of cone with given the value for the diameter and height of the cone.

Write a program which takes two float numbers from the user and check, if first number is greater than the second number, if the first number is greater add 5 in the first number and print the result., otherwise add 10 to second number and print the result.