Use the Laplace transform to solve the initial value problem y' +4x²y = -28 -25 (t-1) +S(t-1), y(0) = 0, y/(0) = 1 Note: Use u for the step function. y(t)

Q: The equation of the tangent line for the function f(x) = -7 – 5x at z = 7 is O y = -5(1 – 7)+42 O y…

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Q: b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In…

A: X~Gamma(ɑ,β)

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

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Q: At every point of the graph of the function y=f(x) we have y″=12x and at the point (0,5) the tangent…

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Q: The function f(x) is invertible. Find (f-1)' (-8) given that f(x) = -x³ – 4x – 3.

A: f(x) = -x3-4x-3 We will use the formula for the derivative of the inverse function: f-1'x0=1f'(x0)…

Q: 2. An ecologist began studying a certain type of plant species in a wetlands area in 2013. In 2015…

A: The objective of the question is to find the values of constants a and b in the exponential function…

Q: limh→0 -2 0 √2+h-√√2 h 2 represents the derivative of f(x) = √ at x = a. What is a? a cannot be…

A: Given,Given derivative of f(x) at x=a is,

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

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Q: Find yy as a function of xx if y′′′−8y′′−y′+8y=0 y(0)=4,  y′(0)=−6,  y′′(0)=130.

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Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

A: The given function is, fx=-3-6x We need to find the equation of the tangent line to the function at…

Q: A dog is walking in a straight line on the road looking for bones. The dog is attracted to the smell…

A: The function x(t) indicates the position of dog with respect to time, t. So, the velocity of dog is…

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

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Q: Find the linearization L(x) of the function g(x) = /a · f(/E) at z = 100 given the following…

A: Given the functiong(x)=x⋅f(x)

Q: 3e-2t + 1] -4 7 4t x(0) = 0; y(0) = 0 alınacaktır. how many independent function can become from…

A: Given system of linear differential equation is ddxxy=2-417xy+3e-2t-14t                     (1) Here…

Q: Find the linearization L(x) of the function g(x) = x f(æ²) at æ = 2 given the following information.…

A: Given data:   The given function is g(x)=xf(x2). The given value of x is a=2. The given value of…

Q: Find the derivative of the function. 92-4x + h(x)= e 18x – 4x2 –1 92-4z++ x2 O b. 9x - 8x² – 1…

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