Estimate the Volume under the Surface.Given a function f(x, y), which has the following shape:-3-3 -2 -1 0 1 2 3Given that 0 ≤ f(x, y) ≤ 2 for all x and y, could you estimate the volume of thegeometry bounded by the following inequalities using Monte Carlo method?x + y < 3Name Type Description2042Your code snippet should define the following variable:volumeN2.001.781.561.331.110.890.670.440.220.003Yz>0(z≤ f(x, y)You should store the volume of the object in a variable called volume.Consider sampling points with (x, y, z) coordinates inside the cube[-3,3] × [-3, 3] × [0, 2], as illustrated in the image above.The setup code provides the following function:Name TypeDescriptionf function The function returning the height of the surface at the given (x,y) coordinatefloat The estimated volume as described in the question

1. Define the problem:We are given a function f(x, y) that represents the height of a surface.We…

Answered: Estimate the Volume under the Surface.…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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Write a code to decide if Gram-Schmidt Algorithm can be applied to columns of a given matrix A through calculation of rank. The code should print appropriate messages indicating whether Gram-Schmidt is applicable on columns of the matrix or not. Deliverable(s) : The code that performs the test.
Can help me with the answer.
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Required: Amitabh had a magical cat. That cat once fell down an empty well. As the walls of the well were not completely vertical, the cat could climb up the well. In one day, the cat can climb 1 unit height and the height of the well is h units. The cat starts at the bottom. Every day, a cat would divide into 2 cats. One of them would climb up 1 unit. The other would wait for help. But while waiting it would fall asleep and roll down 1 unit, unless it is already at the bottom, in which case it just remains there. When a cat would reach the top, it would run home toAmitabh. (Schrodinger doesn't know that some of the cats are in a well and so he can't rescue them). It has been d days since the cat fell into the well. How many cats would come out of the well today? You would notice that the number of cats grows very large with each passing day, so output the answer modulo 10^9+7. d = 0 means that the cat has fallen just now and so there's just one cat at the bottom of the well. So you…
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