Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the point which is farthest from the plane.

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A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

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A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

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Q: is Convergent Determine whether each those that are convergent. integral divergento Evah or In X

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Q: For b, c, d, k ER\ (0), obtain a formula for any integral of the form dx. What was your substitution...

A: The objective is to solve the above question.

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Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

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A: This question can be solved by applying the formula of average change in a closed interval.

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A: Given 7lnnnn=1+∞

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Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

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Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

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Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

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Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: Write the first five terms of the sequence: {Vn² + 7n – n}n=1 Determine whether the sequence converg...

A: The given sequence n2+7n-nn=1+∞

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Q: 24. f(x, y) = In(x² + y)

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Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

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Q: Find an equation of the tangent line to y = 7 sin(x) at x =

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Q: Graph of polynomial f(x)

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Q: 3, use the separatibn of Variables and solve the following equatibn %3D

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Q: Find the first partial derivatives of the function z = (2x + 3y)10.

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Q: Write the first five terms of the sequence: {Vn² +7n – n}, Determine whether the sequence converges,...

A: Objectives to write the first five terms of the sequence and find the limit of the sequence. Finally...

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A: In this we have to check Discontinuity of equation. 

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A: Topic = Differentiation

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A: Find your answer below 

Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: Use the Arc Length Theorem to calculate the length s of the path over the interval. (sin(0) – 0 cos(...

A: Given : (sinθ - θcosθ, cosθ + θsinθ);            0 ≤ θ ≤9

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Q: Question Select the correct category for each item. Let f(x) be a function and let a be a real numbe...

A: 1. limx→a f(x) =2, then f(a) = 2. When we are computing limits the question that we are really askin...

Q: Find the indefinite integral in each of the following. Show all necessary solutions. xdx 1. V3- 2x -...

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Q: A researcher is trying to determine how class attendance and sleep impacts student test scores. From...

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Q: The temperature T (in °C) at a location in the Northern Hemisphere depends on the longitude x, the l...

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: EVALUATE AND SOLVE THE LINEAR DIFFERE NTI AL EQUAT O (05 - 150° + 10b* + GOD -72) y 2 12

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Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find. 

Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance betw...

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Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

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