The graph of a positive function on the interval [0, 6] is provided in preparation to approximate the area under the curve using Riemann sums. Describe in a couple of sentences how to calculate the length of each of three equal subintervals.  Include the length with proper labeling.

Explain your work to a friend who has not yet taken Calculus.  Write your explanation in a way that your friend can follow your process.  Describe the following: How you decided on the points to use in each method (left, right, and midpoint). What you did with those points once you had them. How your steps resulted in three different approximations for the area. Use clear, accessible language so your explanation is understandable to someone new to these ideas.

Match the values to the endpoint types for the three subintervals.

Compute the gradient and Hessian of the following function. f(x,y,z) = ysin(x) + xyz + cos(yz) Type your answer in the textbox below.

Which of the following is the recommended data type for the Product_number field in the conversion database?

I am making a Java program to manage my MIS350 class. Here is a section of my code in this program to store student data:  1) Please evaluate the code: is there any potential problem or limitation with the code in my program? Narrative the problem or limitation with details.  2) How do you suggest to fix or improve the code?  3) Provide your fix of the code. Make sure your code will do the same thing like the provided code above.     

State the rate of change of the water depth, including units.  Use proper labels and answer in both exact and approximate form.  

Determine the rate of change of the water depth when the water is 3 ft.

In the balanced chemical equation for the reaction below: ____C5H10 (g) + ___ O2 (g) 

Identify each of the following transformations as a chemical or physical change: burning leaves and melting ice