Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01 3.62692086 3.62686041 3.64573199 3.60810972

Q: (b) How will an increase of $1 in the hourly labor rate affect the total cost? The total cost will…

A: The current total cost is  80+0.3*27*27 +50*2- 27*2= 344.7

Q: Consider the following IVP: y" - 3y' - 10y = 1, y(0) = -1, y'(0) = 2 (a) Find the Laplace transform…

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Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: Use the chain rule to find where First the pieces: End result (in terms of just t): = 历 内 z = x²y +…

A: Here given that                       z=x2y+xy2,  x=3-t3,  y=3-t6 We have to find dzdt by using…

Q: x²y' + 2xy = ln(x), y(1) = 2

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²3x² and the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: V over F. Let A(X) Let X = {V₁, V2,..., Un} be a subset of a vector space denote the set of linear…

A: Solution

Q: d interm

A: Introduction: The formula of the law of cosines for a triangle ABC with sides a,b,c is given by,…

Q: 3.1 Evaluate y"-10y'+9y=5t y(t)-50 +51 +31 e⁹t - 2et t 81 81 Option 1 y(0)=-1_y'(0)=2 y(t)= 81…

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Q: Find the solution of the given initial value problem in explicit form. sin (2x) dx + cos(7y) dy = 0,…

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Q: 15.a Is the function a.EVEN b. ODD f(x) = |x|, -π< x < T

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Q: Answer the following items. Show all necessary solutions. 1. A passenger ship sails from a point A…

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Q: dx X = X(t) defined implicitly by dt 62XE 62 +62 VX In(t) = 6²²x². Also evaluate dx

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: 1. Use the power series 1 x+1 - Σ(-1)"-19"-1, n=1 to find a power series, centered at 0, of the…

A: The given power series with the sum is 1x+1=∑n=1∞-1n-1xn-1. The series is a geometric series and it…

Q: 3. Find f'(z) and f"(x) if f(x) = ln x + 2 cos³z.

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Q: Let y = 18 || = and u = 6 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

A: Given that                   y→=-4-3 and u→=66.

Q: Consider F = {a+b√2: a, b = Q}, equipped with the usual addition "+" and multiplication 29.99 as…

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Q: Show that the substitution a=es, y = e converts the equation ди a u ди Әи +x +y 0 дх² дуг Әх ду into…

A: Introduction:   A parametric equation is one in which the dependent variables are defined as…

Q: Optimize the function. Use cramer’s rule for the first order condition (optimal values for x1, x2,…

A: Given, y=3x12-5x1-x1x2+6x22-4x2+2x2x3+4x32+2x3-3x1x3 For optimal values of x1, x2, x3 , First order…

Q: 1 2. Σn=10"+ 5n · (Comparison Test)

A: We will use comparison test for series.

Q: Question 13 (Mapped to ILO3) Determine the Fourier Series of x, 0<x<T f(x) = { π, π < x < 2π, and…

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Q: Estimate the number of degrees in the angle.

A: The angle is little more than the straight angle. The measure of straight angle is 180°

Q: Find √x²ds ds along the line of intersection of the two planes x-y+z=0 and x+y+2z=0, from origin to…

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Q: The cost, in thousands of dollars, of airing X 30-second television C(x)=40+ 3,000x + 0.064x² Your…

A: Introduction: The second derivative test is a method for determining the absolute maximum and lowest…

Q: Let f be a bounded function on [a, b]. Show that f is integrable on [a, b] if and only if there is a…

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Q: Q/ Provethet f is continuous if f(B) = f'(B) Suppose of continuous and Prove F(B) ≤ f(B) then for…

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Q: plz

A: We use Kuratowski's theorem.

Q: ng polynomial ting polynomial by using the 4th order polynomial. 58 to the given data and calculate…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: Given boundary of a field is a right triangle with straight stream along its hypotenuse          The…

Q: Compute the Cayley table and find a familiar isomorphic group of G/N where G is a group and N is any…

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Q: L{tcost + sint} 2s a. (s²+1) 2s b. (s²+1)² 25² C. (s²+1)² 25² d. (s²+1)

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by =1-2y²-3r² and the…

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Q: 1. Use the power series 1 (-1)-1-1, x + 1 n=1 to find a power series, centered at 0, of the…

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Q: lim 1418 r = ∞ zª

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Q: Given U = 2xy, Px = 3, Py = 4, and I = 90 Use the Lagrange multiplier method to find the optimal…

A: Given :          U=2xy, Px=3, Py=4, and I=90 We have to use the Lagrange multiplier method to find…

Q: Interpolate the value of the function corresponding to x = 4 using Lagrange's interpolation formula…

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Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

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Q: Find a series representation for f(x) = 1/(x^2 -11x + 24) about a center: x = -2

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Q: For item 4, illustrate the problem, the triangle diagram, and solve for the problems.  4. A Three…

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Q: Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt = f(y). In each…

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Q: Find the following: (a) (-1-i)7. (b) Square roots of 4√3+4i.

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Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

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Q: Which of these are regular polygons? O Only Figure 4 O Only Figures 3 and 4 WHOO 00 Figure 1 Figure…

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Q: 1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1…

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Q: Let р be a prime such that p = 22" + 1, for some n € N, with n > 1. (a) Determine if 5 is a…

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Q: Find all horizontal and vertical asymptotes of the curve of 3e +2e f(x) = 2ex-5e-x Show all your…

A: Given, fx=3ex+2e-x2ex-5e-x The horizontal and vertical asymptotes of fx is to be determined.

Q: earned $6,500 this summer and plans to invest her money for 10 years, and she has two options to…

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