Use the method of triangles by the legs, draw the triangles S √36-7 dx 3x² 2 dx

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A: Define g(x)=f′(x). Given the conditions, we have:g(0)=f′(0)=0∣g′(x)∣=∣f′′(x)∣≤∣f′(x)∣=∣g(x)∣To show…

Q: 8. Is the following function analytical? f(z) = 2² - z²

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A: 1. Understanding the Task RequirementsContext of the Challenge: The task is about planning and…

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A: Triangle: Definition: A triangle is a three-sided polygon.Properties:It has three sides and three…

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Q: 4.7 2 Its math-deferential equation

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A: To prove that if  n  is odd, then 2 is not a square in  GF(5n) , we will use properties of finite…

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A: Conclusion:The correct answer to the question about the reserve requirement is d. the minimum…

Q: Please correctly and handwritten

A: Approach to solving the question: Hi student! I hope this can help you. If you have question feel…

Q: For the following, f(x, y) = 7+ cos(3x) + xy - y², A = 2â— ây + 4âz, and B = ây - 4âz.

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Q: Can you find the Laplace transform​ Y(s) of the solution​ y(t)?

A: The inverse Laplace transform will yield terms involving exponential functions and possibly…

Q: Use induction on ninN to prove that 8|(52n+7)| for all n≥1

A: Take as inductive hypothesis the statement 8∣(52n+7).Base case: When n = 1:52n+7=52+7=25+7=32=8×4So,…

Q: 6.1 16

A: Step 1:To find the Maclaurin series for sin(x2), start by recalling the Maclaurin series for sin(x)…

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A: The given values are:Mass, m = 2 kgDamping coefficient, c = 8 kg/sSpring constant, k = 80 N/mApplied…

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Q: 1. Let A = {-30, -10, 10, 30, 50} and B = {-20, -10, 0, 10} be subsets of the universal set ε = {10x…

A: DETAILED EXPLANATION/ SOLUTIONS 1. Problem Set SolutionsGiven:A = {-30, -10, 10, 30, 50}B = {-20,…

Q: 4161. Constrained optimization. Please solve without AI and clear handwriting. Thank you

A: Step 1:The length of the rectanglular box is x  cmThe width of the rectanglular box is y  cmThe…

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Q: Find the general solution for the following differential equation. = y" +2y' + 10y -35t +3

A: Step 1:Step 2:Step 3:

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Q: 7 Let y = and u Write y as the sum of two orthogonal vectors, one in 5 4 Span {u} and one orthogonal…

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Q: Help me with my computational theory homework

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Q: 3.3 Q7 math differential equation

A: Approach to solving the question: To derive the system of differential equations for two tanks A and…

Q: Find a unit vector in the direction of the given vector. 55 -132

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Q: 9. A spring-mass system exhibits free, undamped motion and its position x() is depicted graphically…

A: Step 1:Given: Mass m=8lbPosition of the mass at t=0s, 2s, 4s, 6s....x(0)=x(2)=x(4)=x(6)=......=0ft…

Q: Using Kuhn Tucker Conditions, find the solution of the following problem (₁ ≥ 0,2 ≥ 0): Maximize f =…

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Q: . Let f (x) be a continuous function on [a, b], where a, b ∈ R and a < b. Suppose that there are…

A: To prove thatlimn→∞​yn​−xn​f(yn​)−f(xn​)​=f′(c)given that  f(x)  is differentiable at  c , we follow…

Q: Advence maths please don't provide handwritten solution........

A: To solve this linear programming problem using the simplex method, follow these steps:1. Convert the…

Q: 4.5 28 differential equation

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A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Solve and fill the blanks in the table Step 2: Identify the equation and formulas to be…

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Q: If |A=[ 1 ] and AB = [ 4 -14 15 determine the first and second columns of - 4 5 B. Let b₁ be column…

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Q: Question 4 (a) Describe the estimator Ô for a quantity 0 (which you should also determine) that…

A: Step 1: Setting the SeedWe start by setting the seed using set.seed(0). This ensures that the random…

Q: b. Find the real-valued solution to the initial value problem [ ví Use t as the independent variable…

A: Step 1: General SolutionThe given system can be expressed in matrix form asy′=Aywhere A=[−35​−23​]…

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A: Step 1:Step 2: Step 3: Step 4:

Q: 1% 11. 17:10 ) العنوان 2 оне ۲/۱ 2. Solve the following partial differential equation: ac/at =…

A: The given equation is a type of partial differential equation (PDE) known as the diffusion equation,…

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Q: Help me solve

A: To solve this linear programming problem manually, we will use the graphical method, checking the…

Q: A geometric sequence is a sequence of numbers where each successive number is the product of the…

A: Step 1: Given geometric sequence is: 21​,−61​,181​,−541​,1621​,...In a geometric sequence, each…

Q: Simplify, and solve for y.  Show all steps clearly

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Q: Can you solve in terms of w(t) =?

A: ### Problem:w′′(t)+w(t)=3t2+6,w(0)=4,w′(0)=−3### Step 1: Apply the Laplace transform to both sides…

Q: SOLVE WITHOUT ARTIFICIAL INTELLIGENCE PLEASE BY HAND AND LEGIBLE Calculate the center of mass of the…

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Q: can you compute g(t) Laplace Transform

A: