Calculus

(This has to have work shown)

(This has to have work shown).

  (This has to have work shown.)

For the regions A and B shown in the graph:Part A: Discuss the limits of integration. (3 points)Part B: Set up an integral expression that represents the total area. (4 points)Part C: Calculate the to...

I am looking for custom solution to this triple integral from Stewart Calculus (8th edition). I don't want the kind of answers available in solution manuals or given by AI assistants like chatGPT.

I am looking for the solutions to these questions from Stewart Calculus 8th edition 

Attached!!! https://drive.google.com/file/d/1sONW29xXG-u325XptolHvHYimVcjZ9ZN/view

Hi,

Let f be differentiable on R and suppose that there exists M > 0 such that, for any x, y $\in$ R, $|f(x) - f(y)| \leq M|x-y|^2$. Prove that f is a constant function.

I suspect that this problem involves Feynman's trick for integration but am unsure.Evaluate $I(a) = \int_{0}^{\infty}\frac{e^{-ax^2}-e^{-x^2}}{x}dx $

These are the Topics encoutnered in this questions: 05.01 Mean Value and Extreme Value Theorems 05.02 Determining Function Behavior and the First Derivative Test 05.03 Using the Candidates Test to Det...

Find a general solution for the lengths of the sides of the rectangular parallelepiped with thelargest volume that can be inscribed in the ellipsoid defined by $x^2/a^2 + y^2/b^2 + z^2/c^2 = 1$, where...

Find a general solution for $\int at^ne^{bt}dt$, where $n$ is any integer, and $a$ and $b$ are real constants.

Hello. I am confused about how to solve the following integral. I see that $n$ is a natural number so my initial thought was to find some sort of recurrence relation which yields the $n^{th}$ integral...

Hello. I am confused about how to solve the following Lagrange multiplier problem. It involves in inequality in the constraint so I began by finding the extrema within that domain by simply setting th...

Hello.l Could somebody help me figure out how to solve this integral? I'm stumped on where to begin, but I suspect that I should use integration by parts and deduce some pattern.Calculate the followin...

I am still a student, I am thrilled in learning, so please be throughly :)Question pictures bellow:  The following quick question regarding: Analytical Applications of DifferentiationReferences:https:...

Let X and Y be two random variables with joint density function1. Check that f is a joint probability density function. 2. Calculate the following probabilities:(a) P(X ≥ 1/2 )(b) P(X ≤ 1/2,Y ≤ 1/2).3...

Need help!  

Hello, can you please help me with question 31 and 32? 

an example is attached. I don't even know how how the example got y=8 then Y=2

Firstly, as my assignment is due in 2 hours, I am offering $30. The due time for this post is set to 1 hour only - for the sake of speed, feel free to use pen/pencil on papeHi, I have solved the previ...