Question 4: For what value of the constant a is the function 8(2,4)= exp(-) at solution of the partial differential equation Show steps of your calculation af Ət 8² f dx²

Q: Г ID 2 те- да.

A: Given, ∫0ln(2)xe-xdx

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Q: า es of p is the series below divergent? rect answer below: n=1 (-1)+¹(In (4n+5))²

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Q: (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x

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Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

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Q: Find the absolute maximum and absolute minimum of the function f(x) = = 3x² + 5x + 4 over the…

A: The objective of the question is determine the absolute maximum and minimum of the given function.

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A: Let's sketch the graph of functions and find area.

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Q: 51. 53. Soz z dz (a² + x²)³ dz LAVET A

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Q: Let F(t) = ( Find 1 t +4 i fr(t)dt ( )dt (don't include the +C) fr (t) dt = {{ -, 4 sin(-2t), √2t…

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A: Given data÷ t = time t≥0 Vt=-20t3+60t

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Q: (1) Σ --0 k k k! εξαφά

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√5-x² dy= -2x² + 5 5-r

A: Given function:- y=x5-x2

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Q: Find the simpler function for the function f(x)= 9x-36/3x^2-6x-24

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Q: Consider the following function. f(x) = 16-x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x (B) Find the differential…

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Q: g(x) = 7 cos(x), 0 14 0 1 T O 1 T

A: Given query is to find average value of the function.

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Q: Find the domain of function s(x) = √-8 + 10x - - - 3x². Write your answer using interval notation in…

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Q: Consider f(x)=x/x^2+1  Note:Note: Use round parentheses for your intervals (open interval…

A: soution:-f(x)=xx2+1f'(x)=ddxxx2+1     =x2+1ddxx-xddxx2+1x2+12   =x2+11-x2xx2+12…

Q: f(x) Consider the function h(x): x+1' Give the formula for the derivative h'(x).

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Q: ************* Sketch the graph of f and use your sketch to find the absolute and local maximum and…

A: From the graph of a function we can conclude the following.Absolute maxima value is the maximum…