2. y = loga(x³ + 2x – 2) 3. y = In³ (x + sin x) %3D 4. y = tan¬1(3x)

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A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

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Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: 5. (xe*dx (1+x)2

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Q: What are the relative extrema of the function f(x)=x3+3x2-24x+7 a. relative minimum of -4, relative…

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Q: A function f(x) has a critical number x=c. Which of the following statements is always true about…

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Q: Find an equation of the tangent line to the graph of f(x) = xe−x at its inflection point.

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A: Given problem:- y=5x-6tan(x) , (-π/2, π/2)  Determine the open intervals on which the graph is…

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Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

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Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

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A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

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Q: Question For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = 1 – 2x* +x²…

A: I am attaching image so that you understand each and every step.

Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: A reservoir is shaped like a square prism. If the area of the base is 225 sq. em., how many liters…

A: Given: Area of the base = 225 cm2

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Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

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A: The objective is to find the maximum value of the function.

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

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Q: What is the relative minimum value of the function f(x, y) = x° - 3xy + y – 2? Note: If the answer…

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A: Given data÷

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