Write a function m-file that takes as input a matrix a and a vector x, and as output gives the product y = ax by row, as defined above (hint: use a for loop to define each entry of the vector y.) your m-file should perform a check on the dimensions of the input variables a and x and return a message if the dimensions do not match. call the file myrowproduct. m. note that this file will not be the same as the myproduct. m example. test your function on a random 4 × 4 matrix a and a random 4 × 1 vector x. compare the output with a*x.

Donna and her team of five have invented a new gadget for the science exhibition in their college. which intellectual property right will protect their invention?

After you present a proposal, the committee starts asking you questions, some beyond the strict focus of your proposal. they ask questions about implications in other fields and knowledge about other fields. you are asked to redo your proposal. what is most likely missing? breadth of material depth of material clarity of material details of material

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."