Use differentials to estimate the change in f (x, y, z) = x² In(5yz + 1) as (x, y, z) changes from (2, 1, 3) to (1.99, 1.02, 3.05).

Q: what is the percent of change form 28 to 42?

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Q: 12): x € R. Is W a subspace of V? Expalin your 3x- Q1. Let V = R³ and W = answer? Q2. Show that M2x2...

A:   The properties of subspaces: Closed under multiplication; Closed under addition; Contains the "ve...

Q: of the func t vector

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Q: Transform f(x) into g(x) where the transformation is g(x) = 3 · f(x) + 1 The function f(x) is shown ...

A: To transform the given function f(x) into g(x) using the below transformation. gx=3⋅fx+1

Q: gradients vector; z= ((1/2)- (x^2- y^2))-(e^(1- x^2 - y^2) - Find the gradient and explain your ob...

A: Introduction: The gradient is a property of a multivariable function. For a multivariable function z...

Q: 1. f'(x) is usually the same type of function f(x), unless f(x) is an exponential function a logarit...

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Q: You have an internship where you are helping track revenue and sales. Suppose that p is the price in...

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Q: 8-14 INTEGRAL EQUATIONS Solve by the Laplace transform, showing the details: 8. y(1) + 4 y(7)(t – T)...

A: Solve the voltera integral equation, by using Laplace transferom

Q: (Use The Figure (10.20) to find the solution of this question) An embankment load on a silty clay so...

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Q: Use C.P. and/or I.P. to prove the following. (A ∙ O) ⊃B B ⊃~O A ⊃O                                 ...

A: We have to prove using I.P. 

Q: c. 3rdorder Use the data given below to estimate Constructing: a. Linear polynemial 2. 5 b. Quadrati...

A: Introduction: Types of polynomials are given by, Linear polynomial-f(x)=ax+b Quadratic polynomial-f(...

Q: Extra Problem Let f(z) be a function analytic at 0 and define g(z) = f(z?). Show that gan - (0) = 0 ...

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Q: 3.1.7. (-) Use Corollary 3.1.24 to prove that a graph G is bipartite if and only if a(H) = B'(H) for...

A: To prove A graph G is bipartite if and only one α(H)=β'(H) for every subgraph H of G with no isolate...

Q: 3 4 Find the determinant of [-1 -8 7] 8 4 Using diagonal method. 3

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Q: The board game Scattergories uses a 20-sided die featuring the following letters: А В C D E G HI J K...

A: If we roll the die, then it has 20 possible outcome. (As listed) Now the word "NEW YORK" contains 6 ...

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is ...

Q: Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case...

A: Given  4y'' + y' = 8y

Q: Use the Putzer algorithm to determine the exponential of the following matrix: 1 1 0 3 -2 0 3 -4 A =

A: The problem is related to linear algebra and matrix. We have to ask exponential of the matrix. First...

Q: By solving the differential equation: y = (x – 8)y' + (3/)* It is obtained, as part of its singular ...

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Q: the original equation. Find the solution of the following Cauchy problems: (а) Зи, + 2и, %30, with u...

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Q: EXs- Apply the improved Euler's method to the ODE : ý= x+y hzo-2, Xozo, Yozo Sol:- ki = 0.2 (Xn +Yn)...

A: Here we use basic formula of euler and improved euler and find error by table.

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r ...

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Q: 3.1.8. (!) Prove or disprove: Every tree has at most one perfect matching.

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Q: Prove or disprove the following statements: justify your answers. (a) Let A E Mnxn(C) have real entr...

A: We will prove the given statements or give counterexamples to disprove them.

Q: You have an internship where you are helping track re he price in dollars of a gadget and q = f(p) i...

A: In this question, the definition of derivative is applied. Derivative A derivative can be used to fi...

Q: Let A,B,C,D be four distinct points on a line, in that order. The circles with diameters AC and BD i...

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Q: The indicated function y, (x) is a solution of the given differential equation. бу" + у' — у %3D 0%;...

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Q: -2 4 A = -1 -3 4. -6 Find dimensions of the kernel and image of T() = Ai. %3D dim(Ker(A)) = dim(Im(A...

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Q: dy dx take 2. Solve |xy+1 with ycu) =1 for finding y(o.075) h=0-025

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Q: 5. Let M(x, y) be "x has en all students in your class. Use qu There is a student in your class v or...

A: Please find the answer in next step.

Q: a. Use cofactor expansion to compute the determinant of A. b. Use elementary row operations to compu...

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Q: Question 4 1 Prove or disprove the following statements: justify your answers. (a) Let A E Mnxn(C) h...

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Q: 1. Use the Euler, improved Euler and Runge-kutta methords to solve the following ODES: d. ý =(1+)y, ...

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Q: a. Find the linéär approximating polynómial following čentéréd at the given point a. b. Find the qua...

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Q: Vn(5 – 2x)" Consider the power series 2n + 1 n=1 a. Show that the series is conditionally convergent...

A: Consider the below power series. ∑n=1∞n5−2xn2n+1 To show that the series is conditionally convergent...

Q: What is the slope of the line that passes through (4, 2) and the Intersection of the lines-2g +5z - ...

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Q: 4x + 300 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

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Q: y 2x - 1 Graph: ys -글a-2 -5 -4 -3 -2 -1 3 4 5 -2 -4 -5+ Clear All Draw:

A: Given:  y≥2x-1y≤-12x-2 To sketch: Graph of given inequalities.

Q: 1.In a certaln factory a Complete y in 4mimtes, by B in S minmites, unit of woik is in 6 mmunts, b D...

A: Solution

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U B...

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Q: f: {0, 1}4 → {0, 1}3 f(x) is obtained by removing the last two bits from x and adding a 1 to the end...

A: We want to find image of f(0000).

Q: 4. Consider the weighted voting system [14: 14, 10, 2, 1]. a. What is the quota? b. How many players...

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Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

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Q: Now consider the series V8(4n)!(1103 + 26390n) This series was discovered by the extraordinary India...

A: (a) The given series is ∑n=0∞84n!1103+26390n9801·3964nn!4. Prove that the series converges using rat...

Q: The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax at their point of interse...

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Q: Evaluate the integral S dady by reversing the order of integration. Evaluate the iterated integral S...

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Q: In an RLC series circuit, L = 1H, R = 2N, C = 0.2Fand the voltage in a circuit is = 2 cos 4t volts. ...

A: Introduction: A second-order linear differential equation is expressed in the form of y"+ay'+by=fx W...

Q: . Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or ...

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Q: 3.1.3. (-) Let S be the set of vertices saturated by a matching M in a graph G. Prove that some maxi...

A: you Can Convert any non-maximal matching  into a maximal matching by adding edges.  And you Can tran...

Q: Graph the exponential function. f(x)=-2| Plot five points on the graph of the function, and also dra...

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