Prove the theorem: Let f: R2 R is a C¹ function, and suppose that the mixed second derivatives and 021 მყმ exist on D. Prove that if and are continuous at Əxǝy ǝyǝx Р then (P) == Əxǝy Jyox (P).

Q: Can you please answer the attached grade 12 advance functions math equation on paper and please make…

A: Step 1: Step 2: Step 3: Step 4:Step 5:

Q: File Preview 20 MPa 20 MPa

A:

Q: Consider the matrices A = 4 - 2 -2 8 and B = B 1 2 <-2 4 Check the correct answer. O Both A and B…

A: To solve this problem, we need to check whether the given matrices A and B are diagonalizable. A…

Q: Can you use math induction (sum of sequence) to prove that:1+5+9+...+(4n-3)=(2n^2)-n

A: We can use mathematical induction to prove that:1+5+9+⋯+(4n−3)=2n2−n Step 1: Base Case (n = 1)For n…

Q: Don't use chat gpt It Chatgpt means downvote

A: This means that the horizontal asymptote of the rational function r(x)=g(x)f(x)​ is y=0. Remember…

Q: What are the steps that I can use to get the role echelon form?

A: Step 1:The given matrix is: M=[1−5​2−5​−2−1​] The following steps are applied to get the row echelon…

Q: Pls help ASAP. pLs show all work and circle the final answer.

A:

Q: Please solve by hand without using AI, use kreszik book

A:

Q: Answer the equation and it's a different equations problem

A: Step 1: Step 2: Step 3:

Q: Find the greatest common divisor d of 234 and 165 and express d = 234r + 165s for some integers r…

A: We find the greatest common divisor (GCD) of 234 and 165 and express it in the form d = 234r + 165s…

Q: Don't use chat gpt It Chatgpt means downvote

A: If you have any doubt feel free to ask.

Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

A: The function to be differentiated is f(a,b)=a2*b3+5*b4+7*a.

Q: Review of complex numbers Do not use AI, I need real solution, attach required graph and code…

A:

Q: (1) The rigid frame is attached to two cables and has an embedded support at O. The turnbuckles are…

A: I hope this is helpful.

Q: Key Concepts / Background: we study how to train a neural network to classify data with 3 features…

A: For Question 1Step 1: Matrix AA :R3→R4 maps the input layer (3 nodes) to the hidden layer (4…

Q: Problem 3 3.0r €2.5 Long bones have a thick layer of hard cortical bone, and a porous inner bone…

A:

Q: Don't use chat gpt plz Chatgpt means downvote

A:

Q: (3) A force F 340 lb is acting on the plate as shown. Determine the moment of the force F about line…

A:

Q: Please solve This on mat lab correctly

A:

Q: 1. Solve the ODE using variation of parametersy′′ + y = cos(x) 2.  Use the Green’s function method…

A:

Q: For each of the following vector functions F, calculate F. dŔ from the origin to (1,1,1) along the…

A:

Q: 2. We've previously studied heat conduction in one spatial dimension that included conduction and…

A:

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: required code :# Define the sequence of functions f_n(x) = sin(nx)/sqrt(1+n) over the interval [0,1]…

Q: (a) Find the work done by the force ♬ = yî + xj + z in moving from (−1, 2, 5) to (1, 0, 1) on C, the…

A: Step 1: Answer for (a) :-To find the work done by the force F=yi+xj+zi in moving from (-1,2,5) to…

Q: is 813 greater than 16

A: Let's start by comparing the numbers 813 and 16. In mathematics, a number is considered greater if…

Q: Answer the blank boxes

A: We solve the linear differential equation: y′+6xy=x3e−6x2/2we will use the method of integrating…

Q: 4. Note that, for any integer n ≥ 1, (1+x)=(1+x)"-1. (1+x). Use this fact to give a new proof that,…

A: Step 1: Step 2: Step 3: Step 4:

Q: 8. Please show all equations

A: Step 1:Step 2:Step 3: Step 4:

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Required code:# Visualizing weak convergence in l^2 space # Example: Weakly convergent sequence in…

Q: Exercise 3.2.2. Let 2 older a emis de gozamenon A = {(−1)" + ½ ½ : n = 1,2,3,. - n 2, 3,...} and B =…

A:

Q: 4. Consider the system of equations X1- 2x1 x2 + 2x3 = 1 + 2x3 = 1 x13x2+4x3 = 2. Does this system…

A:

Q: lim f(x): = lim f(x) = LE R. Let f = C(-∞, +∞), and x-x Prove: f(x) is bounded in R. 8+←8

A: Solution:                To prove that the function f(x) is bounded in the set of real numbers (R),…

Q: Don't use chat gpt It Chatgpt means downvote

A: Step by step guide:

Q: The demand for subassembly S is 120 units in week 7. Each unit of S requires 1 unit of T and 2 units…

A: ItemGross ReqOrder ReleaseOn-Hand InventoryS120100 (Week 5)20T8080 (Week 6)20U200170 (Week…

Q: Solve: y(4) — 8y"—9y = 0 - y(0) = −7, y'(0) = −16, y"(0) = −23, y""(0) = y(t) =

A: Step 1: Step 2: Step 3: Step 4:

Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

A: To find the roots of the function, we set the function equal to zero and solve for…

Q: Don't use chat gpt chatgt means downvote

A: Step 1: Step 2: Step 3: Step 4:

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Python code:# Adjusted plot to avoid issues with LaTeX expressions # Set up the figure fig, ax =…

Q: Z Find the mass of the solid paraboloid D = {(r,0,z): 0 ≤z≤49-2², 0 ≤r≤7} with density p(r,0,z) = 1…

A: given solid paraboloidD = {(r,θ,z) : 0&lt;=z&lt;=49-r2, 0&lt;=r&lt;=7}density is given,…

Q: third time posting this question, I need detailed answer with each single step, do not skip any…

A:

Q: (a) Check the set of functions A = {x, 3x²-1, 5x3 3x} for orthogonality on [−1, 1]. - (b) Determine…

A: (a) Check the set of functions A={x,3x2−1,5x3−3x} for orthogonality on the interval [-1, 1]. To…

Q: How can one explain that graph given in the picture ? It's related to probability and stat

A: Explaining each component of the graph and the log-normal distribution concept to give you a…

Q: Solve the 1-dimensional heat equation problem. ди Ət u (0, t) u (x, 0) J²u = 2 = = მ2 u (5,t) = 0,…

A:

Q: A particle is attracted toward the origin by a force proportional to the cube of its distance from…

A: see answer

Q: Prove the following statement with contrapositive proof: Suppose x,y, and z are integers and x does…

A: The question is asking us to prove a statement by using a contrapositive proof. Here's what we're…

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Required code:import matplotlib.pyplot as plt import numpy as np # Define a simple circle for the…

Q: x2 Solve the initial value problem yy' + x = √√x² + y² with y(4): To solve this, we should use the…

A: Steps and explanations are as follows.In case of any doubt, please let me know. Thank you.

Q: Solve the 1-dimensional heat equation problem. ди Ət u (0,t) u (x, 0) = = = 2- J²u მე2 u (5,t) = 0,…

A: Step 1: Given-One dimensional heat equation is δtδu​=2δx2δ2u​. The given boundary conditions are…

Q: Suppose (En) is a disjoint collection of measurable sets. Use induction on n to establish the…

A: See the attachment below for the proof.

Q: Don't use chat gpt plz

A: