Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial Intelligent Apps 1. Solution must be hand-written 2. Step by step clear explanation 2. A rectangular garden of an area of 10,000 square feet is surrounded by three sides of bricks wall costing $20 per foot and on one side costing $ 10 per foot. Find the minimum cost of materials.

Q: Prove using (linearity property): T(a*v1+v2)=a*T(v1)+T(v2)

A: Solution: A transformation  T is called affine if it can be written in the form: T(x)=Ax+b, where  A…

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A: To find the flux of the vector field F = i + 2j + 3k across the surface S (the part of the plane 2x…

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

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A: Step 1:The total volume, as given in the recipe, is 500 mL. The prescription requires 140 mL. The…

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A:

Q: Use variation of parameters to solve the differential equation. y" + 3y' + 2y = 1/5+ex

A: Step 1: Step 2: Step 3: Step 4:

Q: . Let ƒ € C[0, 1] and f(0) = f(1). Prove: 3x0 = [0, 1], such that ƒ (xo) = ƒ (xo + ½}).

A: Let f∈C[0,1] (i.e., f is continuous on the interval [0,1] ) and f(0) = f(1) . Prove that there…

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A: # Part (c): Visualization of the spectrum σ(T) # For simplicity, we will assume the spectrum lies…

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Q: Please help and explain how to do it I'm a bit lost and my answers don't look right   thnak you!

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Q: 4. Please show all equations

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Q: 2. Using Lagrangian interpolation formula find the value for y = 2 for the set of points (1, 2) and…

A: In the statement, it is asked that " find the value for y = 2. It is straight forward from the given…

Q: 2. Prove or disprove that the following are vector spaces 3 -7 22 (a) Let M = The set {x R3 | Mx =…

A: (a) The set {x ∈ ℝ³ | Mx = 0} is a vector space. This is the null space of the matrix M. The null…

Q: Solve for x and y in the matrix A 6 8 if A² = 16 38 y = 8 2 2 y

A:

Q: 9. Suppose V1, V2, V3, V4 are linearly independent. Prove that the following vectors are also…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve  pass to pass

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Q: 2. Given the periodic square function shown as x(t) -6 2 (a) Declare the function as a Scilab…

A: a)// Define the square wave function x(t) function y = square_wave(t) y = 0 * t; // Initialize…

Q: Answer only 2

A: We are given the equation x1​+x2​+x3​+x4​=n, where the variables x1​,x2​,x3​,x4​ are integers, and…

Q: Don't use chat gpt

A: Approach to solving the question:Eigenvalues and Eigenvectors:We started by finding the eigenvalues…

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Q: Need detailed solution by hand, NO AI, otherwise skip

A: # Load necessary libraries library(tidyverse) library(lubridate) library(zoo) # Load the dataset…

Q: 3. Use the convolution formula for ordinary generating functions to find (1+x)" (1-x)m Your answer…

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Q: 3. Let U, V, W be vector spaces, and let T₁: V→W and T2: W U be linear transformations. Prove that…

A: Step 1:It is provided that, U,V,W are three vector spaces.Also, it is provided that, T1​:V→W and…

Q: PLS HELP ASAP, pls show all work and steps and pls circle the final answer.

A: Part (a): What is the period of the function and what does it represent for an individual?The…

Q: Sind solution of integral eq. x D // ( x ) = $41 + = √ √ x 4 ( + ) at 5 2) 4 (X) = = x + = (xu(t)st

A: Thank you for providing that detailed description of the handwritten math notes. It sounds like they…

Q: dy Solve the differential equation dx 9y' Find an implicit solution and put your answer in the…

A: Step 1: solution Step 2:Step 3: Step 4:

Q: can you write the answer clearly and thoroughly, using complete sentences.

A: Question: Prove that C is a field.Solution:

Q: 1. n Express the number (12.34)5 in base 10 as m where m, n are positive integers such that m, n do…

A: Step 1: Decompose the number The numeral (12.34 repeating 34) in base 5 comprises two components:…

Q: Answer just 2

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Q: Make sure to answer by hand, make all graphs and give steps how you constructed these, DO NOT SOLVE…

A: Required python code:# Task a: Graph Construction for Compact Operator # Create a sample graph…

Q: Ex 49: Show that if u is a subspace of V then u= Span (W)

A: Step 1    Step 2

Q: Items in parentheses are the solutions to the question

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Q: (5) The turnbuckle is tightened to produce a 1.2 kN tension force in cable AB acting at point A of…

A: Step 1: Step 2: Step 3: Step 4:

Q: (3) Determine the tensions in the three cables that support the 100 lb cylinder. Ans: TAB TAC 47.8…

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Q: 1. Consider the vectors a = (1,0, -2, 1), b = (0, 4, 4, 1), and c = mine the vector a-2b+2c. (5, 1,…

A: Step 1:Step 2:

Q: Discrete Mathmatics

A: Step 1: Step 2: Step 3: Step 4:

Q: (3) The uniform rectangular plate is supported by two hinges at A and B and held in the horizontal…

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Q: what is this?

A: Let the empty box be x,  Then The equation is:43​=24x​To find x, we can use cross-multiplication:3 *…

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Q: Please solve this advaned mathematics probelm related to wavelwt theory with explanations make sure…

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Q: Pls help ASAP, and show all work and steps and please circle the final answer.

A: (a) Simplify  10(2⋅log(3))⋅10(3⋅log(4))Apply the property of exponents:…