Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and where it is decreasing and find the value of the absolute minimum.

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

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Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

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Q: Find the derivative. 1 f(x) =

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A: Differential equation

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Q: Il only I and III only I and II only

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Q: E. Show that the function e sin y equation satisfies Laplace's a²z a²z 0.

A: E) z=exSiny.

Q: 1 | (2³ + æ) (x* + 2a² + 9) i dæ = 4 (x° + x) (x* + 2x2 + 9) dx (A) 1 2 3 4/3 – 9 - D) 16/3 – 18

A: We have to find the given integral.

Q: edu/courses/49369/assignments/325601 ations).pdf 3. f(x) = 2x2 - 10x - 5 %3D

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Q: Ax) =-7 +2r-3x Identify the End-Behavior of this function Justify your answer.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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Q: . y = In (x + V1 + x'):

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 6x + 2x+1 lim is equal to бх? - Зх + 4 А. О В. 1 C. 2 D. 3

A: This question is related to limits, we will solve it using given information. 

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Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

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Q: 4) Use the Limit Definition of a derivative to find f '(3) if f(x): %3D 5-x

A: Given:- f(x) =2/(5-x)  To find:- Use limit Definition of a derivative to find f'(3) 

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: — хех dx -0-

A: Given: - The integral is, ∫-∞0-xexdx To solve: - The solution of the given integral.

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A: To find the solution of the differential equation.

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Q: Find the derivative of the following functions.

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Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

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Q: The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme va...

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Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: f (x) = 4.5x²-3x +2 f(x)-f(a) Use the alternate limit definition, lim with a = 2, to find the value ...

A: Given:- f(x) =4.5x2-3x+2  To find:- Use alternative limit definition find value of f'(2) 

Q: Find the derivative. R= (s² + 7)ª R'=

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

Q: Use the formulas of Derivative of the Algebraic functions and Logarithmic functions in determining t...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A: Here, the given sequence is: 2-5, 3-6,4-7,... To write the general from the sequence starting from n...