1) Evaluate the integral (arc tan x )² dx x² + 1 e arcsin x 2 ـــد dx

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A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

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A: Consider the functionTo find and classify all critical points of the function.

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A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

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A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

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Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: please solve  3[ln x - ln (x+9) - ln (x-9)]

A: The expression simplifies to:3ln(x2−81x​)Explanation:

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A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

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Q: Calculate the mean, median, and mode from the following data set: 1,2,3,4,5

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: Is f(x)=2/x-7 one to one

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Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

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A: Given that,z = 3y2-3x2

Q: If A then 76 = 2 3 A-1 --- [88]

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Q: How Hey Find Find the largest product the positive numbers X, Y and Z can have if x+y+z² = 16,…

A: Let  Let

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: Calculus I May I please have the solution for the following questions? Sketch an accurate graph…

A: Please refer below to get your solutions.Explanation:Sol -&gt; a) Sol -&gt; b) Sol -&gt; c) Sol…

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A: The objective of this question is to calculate the total cost of playing all possible combinations…

Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4   Extrema of the function subject to constraint x2 + y2 = 1…

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: Please help with Calculus 1 Problem. Thank you.

A: Please refer below to get your solution.Explanation:Sol)

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)

Q: determine the laplace transform of; 3e^2t cosh 4t

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A: We know, that

Q: lim 2xy +5yz + 3xz (x,y,z) (0,0,0) 4x2 + 25y²+9z²

A: To find:-

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Q: 1. Given the differential equation below, find the solution using Laplace transformation. The…

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Q: Problem 2. Let f R2 R be (a) (b) f(x,y) = (xe)10 Determine the second-order Taylor formula for f…

A: Answer is given below :-Explanation:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: +0+x (4) lim xx

A:

Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: Exercise: Solve the equation d²y dx² + y = tan x

A: The given differential equation is

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A: The objective of this question is to estimate the square root of 8 using the fourth Taylor…

Q: A. Find the equations of the intersection line between the planes 3x+y-z = 2 and x-y+2z = 3

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Q: At time t, the position of a body moving along the s-axis is s=13-2112 +144t m. Find the body's…

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Q: - #13 Given z= f(xy) = ex+2y= en (-x-y) +xy² a) Evaluate f(-2, 1), (b) Estimate the "error" in the…

A: a) -1b) (-1.15,-0.85)Explanation:a)  b)

Q: Find equations of the following. y = ln(x+2), (0, 0, 1) (a) the tangent plane × (b) the normal line…

A: a)) x-y+z=1b)) x= -t y= tz= 1-tExplanation:Step 1:Step 2: Step 3: Step 4: