c2 1 dx x² +1 4. e* + 0.

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A:

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A: Given query is to find the exact value of the expression.

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A: We will check if the fundamental theorem of Calculus is applicable.

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A:

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A:

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A: Here, given that: yc=c1x2+c2x3⇒y1=x2, y2=x3 And, u1=2x-3x2, u2=2x+3

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A: Given Data: fx=x2+ax+b

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A: Let's find.

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A: Let's find.

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A: We have to find the limit

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A:

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A: The three parts of the problem are solved in the next three steps.

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A: answer is in next step

Q: DEFINITION

A: We will find the Laplaces Transform.

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A: We have to find the nth term of the sequence.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

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A: We know that if we integrate the acceleration function then we get the velocity function . we used…

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A: Given: I=∫cscθ1+sin2θ+sinθcot2θdθ     Use the trigonometric identity; 1). sinx=1cscx 2).…

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A:

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A: Given

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A: For Critical Points We will Put F'(x)=0

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A:

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A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

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A:

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A: We have to show X,Y, Z are vertices of a right angle triangle.

Q: derivative(y

A:

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Q: y 5| 3 2 -4 -2 -1F 4. 2.

A: We find the point where limit does not exist

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A:

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A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A:

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A:

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: We have to simplify

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

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Q: Determine any critical point(s) for the function f(x)=  -3 / x2 - 9

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A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

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A:

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: Find the solution of the given differential equation

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Q: 2x-9x+2= 4x-13

A: Given query is to find the value of x.