o evaluate (In x)² +3 dx,

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A: Answer is in step 2.

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Q: 8 lim x-2+ x²-4 x→2+ X x-21

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Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

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A: A detailed solution is given below.

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A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

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A: Given :

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A: To find the value of y' at (3,-3).

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Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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A: Solution in step 2

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A: The given integral,       ∫cot4x csc4x dx

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A: Given problem:-

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A: Answer is in step 2.

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Q: 3. Calculate the inverse of the following functions: a. f(x) = 6+x 7 3 b. f(x) = 2-x

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Q: 1 (s² + a²) (s² + b²) a sin at + b sin bt a² - b² b sin at a sin br - ab (b²-a²) cos at + cos bt…

A: This question can be solved using the concept of inverse Laplace transform.

Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 2…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below